diff --git a/doxygen_cxx/classdrake_1_1systems_1_1controllers_1_1_joint_stiffness_controller-members.html b/doxygen_cxx/classdrake_1_1systems_1_1controllers_1_1_joint_stiffness_controller-members.html index b80943d2f3..6edf48349b 100644 --- a/doxygen_cxx/classdrake_1_1systems_1_1controllers_1_1_joint_stiffness_controller-members.html +++ b/doxygen_cxx/classdrake_1_1systems_1_1controllers_1_1_joint_stiffness_controller-members.html @@ -342,177 +342,178 @@
Implements a joint-space stiffness controller of the form.
- τ_control = −τ_g(q) − τ_app + kp⊙(q_d − q) + kd⊙(v_d − v) -
where Kp
and Kd
are the joint stiffness and damping coefficients, respectively, τ_g(q)
is the vector of generalized forces due to gravity, and τ_app
contains applied forces from force elements added to the multibody model (this can include damping, springs, etc. See MultibodyPlant::CalcForceElementsContribution()). q_d
and v_d
are the desired (setpoint) values for the multibody positions and velocities, respectively. kd
and kp
are taken as vectors, and ⊙ represents elementwise multiplication.
where Kp
and Kd
are the joint stiffness and damping coefficients, respectively, τ_g(q)
is the vector of generalized forces due to gravity, and τ_app
contains applied forces from force elements added to the multibody model (this can include damping, springs, etc. See MultibodyPlant::CalcForceElementsContribution()). B⁻¹ is the inverse of the actuation matrix. q_d
and v_d
are the desired (setpoint) values for the multibody positions and velocities, respectively. kd
and kp
are taken as vectors, and ⊙ represents elementwise multiplication.
The goal of this controller is to produce a closed-loop dynamics that resembles a spring-damper dynamics at the joints around the setpoint:
M(q)v̇ + C(q,v)v + kp⊙(q - q_d) + kd⊙(v - v_d) = τ_ext,
where M(q)v̇ + C(q,v)v
are the original multibody mass and Coriolis terms, and τ_ext
are any external generalized forces that can arise, e.g. from contact forces.
→ generalized_force | → actuation |
const OutputPort<T>& get_output_port_actuation | +( | +) | +const | +
Returns the output port implementing the control in the form (and order) expected for the plant's actuation input port.
+Returns the output port for the generalized forces implementing the control.
+(Deprecated.)
(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-(Deprecated.)
-Returns a vector of actuation values for model_instance
from a
+vector u
of actuation values for the entire plant model. Refer to
+mbp_actuation “Actuation” for further details.
u
:Actuation values for the entire model. The actuation value in
+u
for a particular actuator must be found at offset
+JointActuator::input_start().
Actuation values for model_instance
, ordered by monotonically
+increasing JointActuatorIndex.
RuntimeError if u is not of size –
MultibodyPlant::num_actuated_dofs() –
Returns a vector of actuation values for model_instance
from a
+vector u
of actuation values for the entire plant model. Refer to
+mbp_actuation “Actuation” for further details.
u
:Actuation values for the entire model. The actuation value in
+u
for a particular actuator must be found at offset
+JointActuator::input_start().
Actuation values for model_instance
, ordered by monotonically
+increasing JointActuatorIndex.
RuntimeError if u is not of size –
MultibodyPlant::num_actuated_dofs() –
Returns a vector of actuation values for model_instance
from a
+vector u
of actuation values for the entire plant model. Refer to
+mbp_actuation “Actuation” for further details.
u
:Actuation values for the entire model. The actuation value in
+u
for a particular actuator must be found at offset
+JointActuator::input_start().
Actuation values for model_instance
, ordered by monotonically
+increasing JointActuatorIndex.
RuntimeError if u is not of size –
MultibodyPlant::num_actuated_dofs() –
Bases: pydrake.systems.framework.LeafSystem
Implements a joint-space stiffness controller of the form
-τ_control = −τ_g(q) − τ_app + kp⊙(q_d − q) + kd⊙(v_d − v)
+Click to expand C++ code...
τ_control = B⁻¹[−τ_g(q) − τ_app + kp⊙(q_d − q) + kd⊙(v_d − v)]
where Kp
and Kd
are the joint stiffness and damping
@@ -790,9 +790,10 @@
forces due to gravity, and τ_app
contains applied forces from
force elements added to the multibody model (this can include damping,
springs, etc. See MultibodyPlant::CalcForceElementsContribution()).
-q_d
and v_d
are the desired (setpoint) values for the
-multibody positions and velocities, respectively. kd
and kp
-are taken as vectors, and ⊙ represents elementwise multiplication.
+B⁻¹ is the inverse of the actuation matrix. q_d
and v_d
are
+the desired (setpoint) values for the multibody positions and
+velocities, respectively. kd
and kp
are taken as vectors, and
+⊙ represents elementwise multiplication.
The goal of this controller is to produce a closed-loop dynamics that
resembles a spring-damper dynamics at the joints around the setpoint:
Click to expand C++ code...
M(q)v̇ + C(q,v)v + kp⊙(q - q_d) + kd⊙(v - v_d) = τ_ext,
@@ -804,7 +805,7 @@
The controller currently requires that plant.num_positions() ==
plant.num_velocities() == plant.num_actuated_dofs() and that
plant.IsVelocityEqualToQDot() is true.
-
estimated_state→ desired_state→
JointStiffnessController → generalized_force
Note that the joint impedance control as implemented on Kuka’s iiwa
+
estimated_state→ desired_state→
JointStiffnessController → actuation
Note that the joint impedance control as implemented on Kuka’s iiwa
and Franka’ Panda is best modeled as a stiffness controller (unless
one were to model the actual elastic joints and rotor-inertia
shaping). See https://manipulation.csail.mit.edu/force.html for more
@@ -856,11 +857,25 @@
Returns a constant pointer to the MultibodyPlant used for control.
+
+-
+get_output_port_actuation(self: pydrake.systems.controllers.JointStiffnessController) pydrake.systems.framework.OutputPort
+Returns the output port implementing the control in the form (and
+order) expected for the plant’s actuation input port.
+
+
-
get_output_port_generalized_force(self: pydrake.systems.controllers.JointStiffnessController) pydrake.systems.framework.OutputPort
Returns the output port for the generalized forces implementing the
-control.
+control. */ (Deprecated.)
+
+- Deprecated:
Use get_output_port_actuation() instead, which multiplies the
+generalized force by B⁻¹ to be consumed by MultibodyPlant’s
+actuation input port. This will be removed from Drake on or after
+2025-04-01.
+
+
diff --git a/pydrake/searchindex.js b/pydrake/searchindex.js
index df4b377587..f5c53c0540 100644
--- a/pydrake/searchindex.js
+++ b/pydrake/searchindex.js
@@ -1 +1 @@
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f_seg:63,get_numeric_paramet:54,get_observed_system_input_input_port:53,get_observed_system_output_input_port:53,get_optimal_cost:46,get_or_init:8,get_orientation_trajectori:63,get_output_port:54,get_output_port_control:51,get_output_port_generalized_forc:51,get_output_port_loc:54,get_output_port_w_out:58,get_output_port_w_out_dens:58,get_output_ports_s:58,get_output_valu:58,get_param_canon:7,get_param_nam:7,get_param_set:8,get_paramet:[15,34,54],get_port_selector_input_port:58,get_position_commanded_input_port:25,get_position_commanded_output_port:25,get_position_input_port:25,get_position_measured_input_port:25,get_position_measured_output_port:25,get_position_output_port:[15,25],get_position_trajectori:63,get_pow:47,get_print_file_nam:46,get_print_to_consol:46,get_product:42,get_qi:44,get_quaternion:42,get_query_output_port:[20,37,40,57],get_r:44,get_reaction_forces_output_port:40,get_recording_as_anim:59,get_requested_minimum_step_s:50,get_rot:42,get_sap_near_rigid_threshold:40,get_scene_graph:15,get_segment_index:63,get_segment_tim:63,get_smallest_adapted_step_size_taken:50,get_solution_result:46,get_solver_detail:46,get_solver_id:46,get_source_configuration_port:20,get_source_id:40,get_source_pose_port:[20,40],get_source_valu:58,get_sparse_a:46,get_spatial_force_output_port:40,get_spatial_forces_output_port:40,get_standalone_reproduction_file_nam:46,get_stat:[15,54],get_state_input_port:[25,51],get_state_output_port:[15,25,40,51],get_status_input_port:25,get_stretch_factor:50,get_suboptimal_object:46,get_system:[15,50,54],get_target_accuraci:50,get_target_realtime_r:50,get_throw_on_minimum_step_size_viol:50,get_tim:[50,54],get_time_const:58,get_time_constants_vector:58,get_time_derivatives_cache_entri:54,get_time_input_port:25,get_time_measured_input_port:25,get_time_measured_output_port:25,get_time_output_port:25,get_time_step:34,get_torque_commanded_input_port:25,get_torque_commanded_output_port:25,get_torque_external_input_port:25,get_torque_external_output_port:25,get_torque_input_port:25,get_torque_measured_input_port:25,get_torque_measured_output_port:25,get_transl:42,get_translation_r:42,get_translational_veloc:42,get_trigger_typ:54,get_typ:47,get_unit_inertia:42,get_valu:[13,20,22,40,42,54],get_vector:54,get_vector_data:54,get_velocity_estimated_input_port:25,get_velocity_estimated_output_port:25,get_vx:44,get_vxx:44,get_wind_velocity_input_port:40,get_working_minimum_step_s:50,get_x:29,get_x_val:46,get_xdt:29,get_xdtdt:29,getacceler:63,getaccelerationlowerlimit:40,getaccelerationslowerlimit:40,getaccelerationupperlimit:40,getactuatedjointindic:40,getactuationfromarrai:40,getactuatornam:40,getalladdedcollisionshap:44,getallbusnam:55,getallconstraint:46,getallcost:46,getallframeid:20,getallgeometryid:20,getalllinearconstraint:46,getallsourceid:20,getasisometri:26,getasisometry3:26,getasmatrix34:26,getasmatrix4:26,getatindex:54,getautorenam:39,getavailablesolv:46,getbias:58,getbindingvariablevalu:46,getbodieskinematicallyaffectedbi:40,getbodiesweldedto:40,getbodybynam:40,getbodyframeidifexist:40,getbodyframeidorthrow:40,getbodyfromframeid:40,getbodyid:40,getbodyindic:40,getbuttonclick:20,getcoeffici:45,getcollisioncandid:[20,34,38],getcollisionfiltergroup:39,getcollisiongeometriesforbodi:40,getcolorrendercamera:62,getconfigurationsinworld:20,getconstraint:22,getconstraintactivestatu:40,getconstraintid:40,getcontactwrenchsolut:38,getcontinuousrevolutejointindic:44,getconvexhul:20,getcost:22,getdamp:42,getdampingvector:42,getdefaultcontactsurfacerepresent:40,getdefaultfreebodypos:40,getdefaultpos:42,getdefaultposepair:42,getdefaultposit:40,getdegre:[45,63],getdensea:46,getdepthrendercamera:62,getdeterministicvalu:12,getdirectfeedthrough:[40,54],getdiscretestateindex:40,getdowncastsubsystembynam:54,getdrakepath:[0,3],getdualsolut:46,getedgesbetweensubgraph:44,geteffortlowerlimit:40,geteffortupperlimit:40,getelementbound:54,getendtim:63,getexpress:63,getfilteredcollisionmatrix:44,getfixedoffsetposeinbodi:42,getfixedposeinbodyfram:42,getfixedrotationmatrixinbodi:42,getfixedrotationmatrixinbodyfram:42,getfloatingbasebodi:40,getforcedampingconst:42,getforceinworld:42,getforcestiffnessconst:42,getframebynam:40,getframegroup:20,getframeid:20,getframeindic:40,getfreebodypos:40,getfreevari:[22,47],getfulldescript:54,getgamepad:20,getgeometri:20,getgeometryid:[20,40],getgeometryidbynam:20,getgraphvizfrag:54,getgraphvizstr:[22,44,54],getgroupnam:20,getgroupproperti:20,getiiwaposit:15,getiiwaveloc:15,getillustrationproperti:20,getinfeasibleconstraint:46,getinfeasibleconstraintnam:46,getinitialguess:[44,46],getinitializationev:54,getinputport:54,getinputportloc:54,getinputsampl:44,getintegrationschem:50,getjointactuatorbynam:40,getjointactuatorindic:40,getjointbynam:40,getjointindic:40,getknownuptod:54,getlargestpad:44,getlinearconstraint:46,getlog:58,getlogg:3,getmaximumabsolutediffer:26,getmaximumabsolutetranslationdiffer:26,getmemoryobjectnam:54,getminimalrepresent:22,getmodelinstancebynam:40,getmodelinstancenam:40,getmutableabstractvalueorthrow:54,getmutabledata:54,getmutabledowncastsubsystembynam:54,getmutablejointbynam:40,getmutablelog:58,getmutableparamet:58,getmutableposit:40,getmutablepositionsandveloc:40,getmutablesubsystembynam:54,getmutablesubsystemcontext:[34,54],getmutablesubsystemst:54,getmutablesystem:54,getmutablevalueorthrow:54,getmutableveloc:40,getmycontextfromroot:[44,50,54],getmymutablecontextfromroot:[34,54],getnam:20,getnominalfilteredcollisionmatrix:44,getnumactiveconnect:20,getnumberofcoeffici:45,getnumberofthread:44,getoneposit:42,getoneveloc:42,getopt:46,getoptimalcost:46,getoutputport:54,getowningsourcenam:20,getpackagenam:39,getpaddingbetween:44,getpaddingmatrix:44,getparamet:58,getparentframeid:62,getparentpl:42,getpath:39,getperceptionproperti:20,getperiodicev:54,getperstepev:54,getpolynomi:63,getpolynomialmatrix:63,getpos:[42,63],getposeinfram:20,getposeinpar:20,getposeinparentfram:42,getposeinworld:20,getposit:[34,37,40,44],getpositionlowerlimit:[34,40],getpositionnam:40,getpositionsandveloc:40,getpositionsfromarrai:40,getpositionupperlimit:[34,40],getprogramtyp:46,getproperti:[20,40],getpropertiesingroup:20,getpropertyordefault:20,getproximityproperti:[20,40],getqueryobject:44,getrealtimer:20,getreferenceposit:40,getrenderertypenam:[20,62],getrenderlabelorthrow:20,getrigidbodybynam:40,getsampletim:44,getschunkwsgopenposit:25,getscopedframebynam:39,getscopedframebynamemayb:39,getsegmentpolynomialdegre:63,getsequentialvariableatindex:44,getsequentialvariablesampl:44,getshap:20,getslidernam:20,getslidervalu:20,getsolut:[22,34,46],getsolutioncost:22,getsolutionpath:22,getsolutionphixu:22,getsolutionphixv:22,getsolveropt:[44,46],getspatialinertiainbodyfram:40,getstarttim:63,getstatenam:40,getstatesampl:44,getstaticcameraposesinworld:15,getsubgraph:44,getsuboptimalcost:46,getsuboptimalsolut:46,getsubsystembynam:[40,54],getsubsystemcontext:54,getsystem:54,getsystemnam:54,getsystempathnam:54,getsystemtyp:54,getter:[15,20,34,38,44,46,47,58],gettopologygraphvizstr:40,gettorquedampingconst:42,gettorquestiffnessconst:42,gettrackedcamerapos:20,getuniquefreebasebodyorthrow:40,getuniqueperiodicdiscreteupdateattribut:54,geturl:20,getvalueorthrow:[20,54],getvari:[22,47],getvariablesc:46,getvariablevector:47,getveloc:[40,63],getvelocitiesfromarrai:40,getvelocitylowerlimit:40,getvelocitynam:40,getvelocityslowerlimit:40,getvelocityupperlimit:40,getvisualgeometriesforbodi:40,getweight:58,getwitnessfunct:54,getwsgposit:15,getwsgveloc:15,getx_pb:62,getzeroconfigur:44,gif:65,gil:3,gill:46,gimbal:[26,42],github:[15,20,46,58],gitlab:6,give:[20,22,26,40,42,46,50,54,57,58],given:[2,3,6,8,12,13,14,15,20,22,23,24,25,26,35,37,38,39,40,41,42,43,44,45,46,47,50,51,54,55,57,58,61,62,63,65],gk:40,glass:20,glbopt:46,glide:40,global:[3,15,20,34,39,40,44,46],globalinversekinemat:34,glossari:62,glprogram:20,gltf:[20,62],gltf_extens:20,gltfextens:20,glx:20,go:[20,23,34,36,40,42,44,46,51],goal:[20,22,43,50,51],goalreach:50,goe:[22,40,47],golden:35,goldstein:42,good:[20,34,44,47,54,63,65],googl:20,got:[44,50],govern:[3,15,24,40,44,50,54,63],gp:46,gpu:[20,58],grad_w:20,grad_w_in:20,grade:47,gradient:[2,19,20,23,26,34,40,44,46,50,51,58],gradient_matrix:2,gradient_sparsity_pattern:46,grai:[20,40,46,51,58],grainger:42,gram:[42,46,47],gram_low:47,gram_nam:46,gramian:46,grammar:[24,47],grant:[20,42],granular:54,graph:[20,22,40,44,52,54,62],graph_of_convex_set:44,graphic:[20,26,51],graphofconvexset:[22,44],graphofconvexsetsopt:[22,44],graphviz:[22,40,44,52,54],graphvizfrag:54,graphvizfragmentparam:54,grasp:[40,44],gratuit:54,gravit:[15,40],graviti:[15,40,42,44,51],gravity_field:40,gravity_vector:42,grayscal:65,grb_license_fil:46,grbcomputeii:46,grbwrite:46,great:20,greater:[3,20,22,26,32,34,40,43,44,46,50,58],greatest:[26,44],greedi:44,greedili:44,green:[20,40,54,62,65],gregori:[34,46],grei:[54,62],grid:[20,38,43],gridpoint:38,grip:[25,40],grip_forc:25,gripper:[15,20,25,39,40],gripper_model:39,gripper_model_inst:40,ground:[15,20],group:[15,20,22,39,40,43,44,46,54],group_index:54,group_nam:[20,44],grow:[22,44],gt:[26,47],guarante:[20,22,23,26,34,36,40,41,42,44,46,47,50,54,61,62,63],guard:50,guess:[22,34,44,46],gui:20,guid:[20,22,40,44,46],guidanc:[20,40,44],guidelin:[20,23],gurobi:[22,44,46],gurobi_num_thread:46,gurobisolv:46,gurobisolverdetail:[13,46],gvm:63,gx:20,gym:[0,15],gymnasium:23,gyrat:42,gyroscop:[40,42,51],gztar:39,h3:50,h5:44,h:[15,20,22,26,34,35,38,40,42,44,46,47,50,58,62],h_floor:50,h_max:44,h_min:[44,50],h_msp:35,h_msp_e:35,h_wc:38,ha:[2,3,15,20,22,25,26,32,33,34,35,37,38,39,40,42,43,44,45,46,47,50,51,53,54,55,57,58,60,62,63,64,65],had:[20,46,54],hairer:50,hal9000:20,half:[15,20,22,34,38,40,42,47,50,51,54,58,63],half_angl:47,halfspac:[20,22,40,42],halfwai:42,hamiltanoian:26,hamiltonian:38,han:[32,40],hand:[20,26,33,34,38,40,42,44,46,47,53,54,63],hand_model_nam:25,handl:[20,22,24,25,26,40,41,42,44,46,47,50,54,55,57,65],handler:[9,24,46,50,54,55,58],handlerfunct:[24,55],handlesubscript:[24,55],hang:20,happen:[20,22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ortUpperLimits"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetFloatingBaseBodies","GetFloatingBaseBodies"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetFrameByName","GetFrameByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetFrameIndices","GetFrameIndices"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetFreeBodyPose","GetFreeBodyPose"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetJointActuatorByName","GetJointActuatorByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetJointActuatorIndices","GetJointActuatorIndices"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetJointByName","GetJointByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetJointIndices","GetJointIndices"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetModelInstanceByName","GetModelInstanceByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetModelInstanceName","GetModelInstanceName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetMutableJointByName","GetMutableJointByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositionLowerLimits","GetPositionLowerLimits"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositionNames","GetPositionNames"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositionUpperLimits","GetPositionUpperLimits"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositions","GetPositions"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositionsAndVelocities","GetPositionsAndVelocities"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetPositionsFromArray","GetPositionsFromArray"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetRigidBodyByName","GetRigidBodyByName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetStateNames","GetStateNames"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetTopologyGraphvizString","GetTopologyGraphvizString"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetUniqueFreeBaseBodyOrThrow","GetUniqueFreeBaseBodyOrThrow"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVelocities","GetVelocities"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVelocitiesFromArray","GetVelocitiesFromArray"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVelocityLowerLimits","GetVelocityLowerLimits"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVelocityNames","GetVelocityNames"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVelocityUpperLimits","GetVelocityUpperLimits"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.GetVisualGeometriesForBody","GetVisualGeometriesForBody"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasBodyNamed","HasBodyNamed"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasFrameNamed","HasFrameNamed"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasJointActuatorNamed","HasJointActuatorNamed"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasJointNamed","HasJointNamed"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasModelInstanceNamed","HasModelInstanceNamed"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.HasUniqueFreeBaseBody","HasUniqueFreeBaseBody"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.IsAnchored","IsAnchored"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.IsVelocityEqualToQDot","IsVelocityEqualToQDot"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MakeActuationMatrix","MakeActuationMatrix"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MakeActuationMatrixPseudoinverse","MakeActuationMatrixPseudoinverse"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MakeActuatorSelectorMatrix","MakeActuatorSelectorMatrix"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MakeStateSelectorMatrix","MakeStateSelectorMatrix"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MapQDotToVelocity","MapQDotToVelocity"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.MapVelocityToQDot","MapVelocityToQDot"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.NumBodiesWithName","NumBodiesWithName"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.RegisterAsSourceForSceneGraph","RegisterAsSourceForSceneGraph"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.RegisterCollisionGeometry","RegisterCollisionGeometry"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.RegisterVisualGeometry","RegisterVisualGeometry"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.RemoveConstraint","RemoveConstraint"],[40,2,1,"pydrake.multibody.plant.MultibodyPlant_-Expression-.RemoveJoint","RemoveJoint"],[40,2,1,"pyd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cspaceseparatingplan:[13,22],cspaceseparatingplane_:[13,22],ct:58,ctor:47,ctrl:50,cube:[20,42],cubic:[44,63],cubichermit:63,cubicshapepreserv:63,cubicwithcontinuoussecondderiv:63,cull:[20,44],cumul:20,cuong:38,cupboard:15,curat:[20,37],curl:20,curl_global_ack_eintr:20,curl_global_al:20,curl_global_cleanup:20,curl_global_init:20,current:[8,15,20,22,25,26,34,36,37,38,39,40,42,43,44,46,47,50,51,53,54,58,62,65],current_object:46,current_st:50,current_tim:50,curv:[22,26,42,44,63],curvatur:[20,38],custom:[20,24,54,62,65],cut:[40,46,54],cutoff:58,cv2:65,cv:40,cvxgrp:46,cwiseproduct:44,cx:[20,22,26,46,47,53,62],cy:[20,26,47,62],cycl:[15,54],cylind:[20,22,37,40,42],cylindr:[20,42],cz:[20,26,62],d1:46,d2:46,d3:46,d:[20,22,25,26,34,40,42,43,44,46,51,54,58,62,65],d_influenc:34,d_init:22,dae:50,dahleh:26,dai:[22,26,34,46],damp:[15,20,29,32,40,42,51],damper:[29,42,51],damping_ratio:42,dampingmodel:32,dangl:13,dare:26,dark:20,darker:65,dash:22,dashpot:42,data1:20,data2:20,data:[3,14,15,20,22,24,33,34,37,39,40,42,43,44,46,47,50,54,55,58,62,63,65],data_s:24,dataclass:14,date:[8,9,20,40,46,47,54],datum:54,david:44,db:58,dd:[8,9],ddot:[15,44],deactiv:22,dead:47,deadzon:20,deal:[9,20,22,40],debug:[1,15,20,22,23,25,26,39,40,42,44,46,51,54,62],debug_mathematical_program:46,debugg:54,decad:58,decai:42,decay_ratio:42,decid:[47,54],decis:[22,34,38,44,46,47,63],decision_vari:[22,46,47],decision_variable_index:46,decision_variable_mat:46,decision_variable_new_valu:46,decision_variables_new_valu:46,declar:[3,13,15,20,37,39,40,42,44,46,47,50,51,54,55,58,59,62],declare_forced_ev:54,declare_initialization_ev:[20,37,54],declare_p:54,declare_periodic_ev:54,declareabstractinputport:54,declareabstractoutputport:[20,54],declareabstractparamet:54,declareabstractst:54,declarecacheentri:54,declarecontinuousst:54,declarediscretest:54,declareforceddiscreteupdateev:54,declareforcedpublishev:[50,54],declareforcedunrestrictedupdateev:54,declareimageinputport:62,declareimplicittimederivativesresiduals:54,declareinequalityconstraint:54,declareinitializationdiscreteupdateev:54,declareinitializationev:54,declareinitializationpublishev:[50,54],declareinitializationunrestrictedupdateev:54,declareinputport:[54,58],declareleafoutputport_feedthrough:54,declarenumericparamet:54,declareoutputport:54,declareperiodicdiscreteupdateev:54,declareperiodicev:54,declareperiodicpublishev:54,declareperiodicunrestrictedupdateev:54,declareperstepdiscreteupdateev:54,declareperstepev:54,declarepersteppublishev:[50,54,55,58],declareperstepunrestrictedupdateev:54,declarestateoutputport:54,declarevectorinputport:54,declarevectoroutputport:54,decod:24,decompos:[26,44,46,47,62],decomposeaffineexpress:47,decomposel2normexpress:[46,47],decomposelinearexpress:47,decomposelumpedparamet:47,decomposepositivequadraticform:[26,46],decomposepsdmatrixintoxtransposetimesx:26,decomposequadraticpolynomi:47,decomposit:[22,26,46,47],decor:[8,9,61],decoupl:44,decreas:[3,40,42,44,46],decrement:[37,42,54,65],decrement_keycod:[20,37,65],deduc:3,deduct:26,deem:[20,22,26],deep:[20,22,40,54],deepcopi:50,deepli:20,deepnot:[20,39],def:[8,9,46,61],defattributesusingseri:14,default_angular_damp:42,default_clear_color:[20,62],default_color:20,default_color_render_camera:62,default_com:42,default_damp:42,default_damping_vector:42,default_depth_render_camera:62,default_diffus:20,default_force_limit:25,default_free_body_pos:39,default_gear_ratio:42,default_group_nam:20,default_illustration_color:65,default_input:58,default_joint_posit:39,default_mass:42,default_model_inst:[40,42],default_paramet:30,default_parent_frame_id:62,default_posit:42,default_positions_:42,default_proximity_color:65,default_proximity_properti:20,default_reflected_inertia:42,default_render_label:20,default_rgb:56,default_rot:42,default_rotational_inertia:42,default_rotor_inertia:42,default_scalar:54,default_se:3,default_spatial_inertia:42,default_transl:42,default_translational_damp:42,default_unit_inertia:42,default_valu:[20,44],default_x_pb:62,defaultproximityproperti:[20,40,65],defeat:54,defer:[3,20,24],defer_initi:24,defin:[3,7,8,12,20,22,23,24,25,26,30,33,34,35,39,40,42,43,44,46,47,50,51,53,54,55,58,61,62,63,65],definit:[20,22,26,35,39,40,42,43,46,47,50,51,53,54,58,62],deform:[20,32,35,40,42,54],deformable_body_configur:40,deformable_model:40,deformablebodyconfig:[32,40],deformablebodyconfig_:32,deformablebodyid:40,deformablemodel:40,deg:[12,40,42,46],degener:20,degrad:46,degre:[3,12,15,20,26,38,40,42,44,45,46,47,58,62,63],deit:[22,44,63],deits14:22,delai:[54,55,58,62],delaunai:22,delay_time_step:58,delayed_u:58,deleg:[54,61,65],delet:[3,20,24,37,40,50,54,58,65],delete_on_initialization_ev:[20,37,65],deleteaddedcontrol:20,deletebutton:20,deleterecord:20,deleteslid:20,delimit:[20,42,54,63],deliv:54,delp:[40,50],delta:44,demand:[20,22,65],demo:[37,65],demonstr:[40,42],demultiplex:58,demultiplexer_:58,deni:20,denomin:[20,22,47],denot:[3,12,20,22,26,34,35,40,42,44,50,58],dens:[40,43,46,50],densiti:[3,15,32,35,36,39,40,42,58],depend:[1,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