// Copyright 2023 DeepMind Technologies Limited // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #include "pid.h" #include #include #include #include #include #include #include namespace mujoco::plugin::actuator { namespace { constexpr char kAttrPGain[] = "kp"; constexpr char kAttrIGain[] = "ki"; constexpr char kAttrDGain[] = "kd"; constexpr char kAttrIMax[] = "imax"; constexpr char kAttrSlewMax[] = "slewmax"; std::optional ReadOptionalDoubleAttr(const mjModel* m, int instance, const char* attr) { const char* value = mj_getPluginConfig(m, instance, attr); if (value == nullptr || value[0] == '\0') { return std::nullopt; } return std::strtod(value, nullptr); } // returns the next act given the current act_dot, after clamping, for native // mujoco dyntypes. // copied from engine_forward. mjtNum NextActivation(const mjModel* m, const mjData* d, int actuator_id, int act_adr, mjtNum act_dot) { mjtNum act = d->act[act_adr]; if (m->actuator_dyntype[actuator_id] == mjDYN_FILTEREXACT) { // exact filter integration // act_dot(0) = (ctrl-act(0)) / tau // act(h) = act(0) + (ctrl-act(0)) (1 - exp(-h / tau)) // = act(0) + act_dot(0) * tau * (1 - exp(-h / tau)) mjtNum tau = mju_max(mjMINVAL, m->actuator_dynprm[actuator_id * mjNDYN]); act = act + act_dot * tau * (1 - mju_exp(-m->opt.timestep / tau)); } else { // Euler integration act = act + act_dot * m->opt.timestep; } // clamp to actrange if (m->actuator_actlimited[actuator_id]) { mjtNum* actrange = m->actuator_actrange + 2 * actuator_id; act = mju_clip(act, actrange[0], actrange[1]); } return act; } bool HasSlew(const mjModel* m, int instance) { return ReadOptionalDoubleAttr(m, instance, kAttrSlewMax).has_value(); } } // namespace PidConfig PidConfig::FromModel(const mjModel* m, int instance) { PidConfig config; config.p_gain = ReadOptionalDoubleAttr(m, instance, kAttrPGain).value_or(0); config.i_gain = ReadOptionalDoubleAttr(m, instance, kAttrIGain).value_or(0); config.d_gain = ReadOptionalDoubleAttr(m, instance, kAttrDGain).value_or(0); // Clamps in the XML are specified in terms of maximum forces. Scale by i_gain // to get the limits on the value of the error integral. std::optional i_clamp_max_force = ReadOptionalDoubleAttr(m, instance, kAttrIMax); if (i_clamp_max_force.has_value() && config.i_gain) { config.i_max = *i_clamp_max_force / config.i_gain; } config.slew_max = ReadOptionalDoubleAttr(m, instance, kAttrSlewMax); return config; } std::unique_ptr Pid::Create(const mjModel* m, int instance) { PidConfig config = PidConfig::FromModel(m, instance); if (config.i_max.has_value() && *config.i_max < 0) { mju_warning("negative imax"); return nullptr; } if (config.slew_max.value_or(0.0) < 0) { mju_warning("slewmax must be non-negative"); return nullptr; } std::vector actuators; for (int i = 0; i < m->nu; i++) { if (m->actuator_plugin[i] == instance) { actuators.push_back(i); } } if (actuators.empty()) { mju_warning("actuator not found for plugin instance %d", instance); return nullptr; } // Validate actnum values for all actuators: for (int actuator_id : actuators) { int actnum = m->actuator_actnum[actuator_id]; int expected_actnum = Pid::ActDim(m, instance, actuator_id); int dyntype = m->actuator_dyntype[actuator_id]; if (dyntype == mjDYN_FILTER || dyntype == mjDYN_FILTEREXACT || dyntype == mjDYN_INTEGRATOR) { expected_actnum++; } if (actnum != expected_actnum) { mju_warning( "actuator %d has actdim %d, expected %d. Add actdim=\"%d\" to the " "actuator plugin element.", actuator_id, actnum, expected_actnum, expected_actnum); return nullptr; } } return std::unique_ptr(new Pid(config, std::move(actuators))); } void Pid::Reset(mjtNum* plugin_state) {} mjtNum Pid::GetCtrl(const mjModel* m, const mjData* d, int actuator_idx, const State& state, bool actearly) const { mjtNum ctrl = 0; if (m->actuator_dyntype[actuator_idx] == mjDYN_NONE) { ctrl = d->ctrl[actuator_idx]; // clamp ctrl if (m->actuator_ctrllimited[actuator_idx]) { ctrl = mju_clip(ctrl, m->actuator_ctrlrange[2 * actuator_idx], m->actuator_ctrlrange[2 * actuator_idx + 1]); } } else { // Use of act instead of ctrl, to create integrated-velocity controllers or // to filter the controls. int actadr = m->actuator_actadr[actuator_idx] + m->actuator_actnum[actuator_idx] - 1; if (actearly) { ctrl = NextActivation(m, d, actuator_idx, actadr, d->act_dot[actadr]); } else { ctrl = d->act[actadr]; } } if (config_.slew_max.has_value() && state.previous_ctrl_exists) { mjtNum ctrl_min = state.previous_ctrl - *config_.slew_max * m->opt.timestep; mjtNum ctrl_max = state.previous_ctrl + *config_.slew_max * m->opt.timestep; ctrl = mju_clip(ctrl, ctrl_min, ctrl_max); } return ctrl; } void Pid::ActDot(const mjModel* m, mjData* d, int instance) const { for (int actuator_idx : actuators_) { State state = GetState(m, d, actuator_idx); mjtNum ctrl = GetCtrl(m, d, actuator_idx, state, /*actearly=*/false); mjtNum error = ctrl - d->actuator_length[actuator_idx]; int state_idx = m->actuator_actadr[actuator_idx]; if (config_.i_gain) { mjtNum integral = state.integral + error * m->opt.timestep; if (config_.i_max.has_value()) { integral = mju_clip(integral, -*config_.i_max, *config_.i_max); } d->act_dot[state_idx] = (integral - d->act[state_idx]) / m->opt.timestep; ++state_idx; } if (config_.slew_max.has_value()) { d->act_dot[state_idx] = (ctrl - d->act[state_idx]) / m->opt.timestep; ++state_idx; } } } void Pid::Compute(const mjModel* m, mjData* d, int instance) { for (int i = 0; i < actuators_.size(); i++) { int actuator_idx = actuators_[i]; State state = GetState(m, d, actuator_idx); mjtNum ctrl = GetCtrl(m, d, actuator_idx, state, m->actuator_actearly[actuator_idx]); mjtNum error = ctrl - d->actuator_length[actuator_idx]; mjtNum ctrl_dot = m->actuator_dyntype[actuator_idx] == mjDYN_NONE ? 0 : d->act_dot[m->actuator_actadr[actuator_idx] + m->actuator_actnum[actuator_idx] - 1]; mjtNum error_dot = ctrl_dot - d->actuator_velocity[actuator_idx]; mjtNum integral = 0; if (config_.i_gain) { integral = state.integral + error * m->opt.timestep; if (config_.i_max.has_value()) { integral = mju_clip(integral, -*config_.i_max, *config_.i_max); } } d->actuator_force[actuator_idx] = config_.p_gain * error + config_.d_gain * error_dot + config_.i_gain * integral; } } void Pid::Advance(const mjModel* m, mjData* d, int instance) const { // act variables already updated by MuJoCo integrating act_dot } int Pid::StateSize(const mjModel* m, int instance) { return 0; } int Pid::ActDim(const mjModel* m, int instance, int actuator_id) { double i_gain = ReadOptionalDoubleAttr(m, instance, kAttrIGain).value_or(0); return (i_gain ? 1 : 0) + (HasSlew(m, instance) ? 1 : 0); } Pid::State Pid::GetState(const mjModel* m, mjData* d, int actuator_idx) const { State state; int state_idx = m->actuator_actadr[actuator_idx]; if (config_.i_gain) { state.integral = d->act[state_idx++]; } if (config_.slew_max.has_value()) { state.previous_ctrl = d->act[state_idx++]; state.previous_ctrl_exists = d->time > 0; } return state; } void Pid::RegisterPlugin() { mjpPlugin plugin; mjp_defaultPlugin(&plugin); plugin.name = "mujoco.pid"; plugin.capabilityflags |= mjPLUGIN_ACTUATOR; std::vector attributes = {kAttrPGain, kAttrIGain, kAttrDGain, kAttrIMax, kAttrSlewMax}; plugin.nattribute = attributes.size(); plugin.attributes = attributes.data(); plugin.nstate = Pid::StateSize; plugin.init = +[](const mjModel* m, mjData* d, int instance) { std::unique_ptr pid = Pid::Create(m, instance); if (pid == nullptr) { return -1; } d->plugin_data[instance] = reinterpret_cast(pid.release()); return 0; }; plugin.destroy = +[](mjData* d, int instance) { delete reinterpret_cast(d->plugin_data[instance]); d->plugin_data[instance] = 0; }; plugin.reset = +[](const mjModel* m, mjtNum* plugin_state, void* plugin_data, int instance) { auto* pid = reinterpret_cast(plugin_data); pid->Reset(plugin_state); }; plugin.actuator_act_dot = +[](const mjModel* m, mjData* d, int instance) { auto* pid = reinterpret_cast(d->plugin_data[instance]); pid->ActDot(m, d, instance); }; plugin.compute = +[](const mjModel* m, mjData* d, int instance, int capability_bit) { auto* pid = reinterpret_cast(d->plugin_data[instance]); pid->Compute(m, d, instance); }; plugin.advance = +[](const mjModel* m, mjData* d, int instance) { auto* pid = reinterpret_cast(d->plugin_data[instance]); pid->Advance(m, d, instance); }; // TODO: b/303823996 - allow actuator plugins to compute their derivatives wrt // qvel, for implicit integration mjp_registerPlugin(&plugin); } Pid::Pid(PidConfig config, std::vector actuators) : config_(std::move(config)), actuators_(std::move(actuators)) {} } // namespace mujoco::plugin::actuator