From a8928b940f707c04c43ba70b41b957843a4714bc Mon Sep 17 00:00:00 2001 From: mohitks3000 Date: Sun, 19 Apr 2026 00:38:36 +0530 Subject: [PATCH 1/6] feat(): added mpc for path tracking and dockerfile changes --- Dockerfile | 5 + src/components/control/mpc/mpc_controller.py | 467 ++++++++++++++++++ .../mpc_path_tracking/mpc_path_tracking.gif | Bin 0 -> 2831922 bytes .../mpc_path_tracking/mpc_path_tracking.py | 109 ++++ .../mppi_path_tracking/mppi_path_tracking.gif | Bin 4709243 -> 1821749 bytes 5 files changed, 581 insertions(+) create mode 100644 src/components/control/mpc/mpc_controller.py create mode 100644 src/simulations/path_tracking/mpc_path_tracking/mpc_path_tracking.gif create mode 100644 src/simulations/path_tracking/mpc_path_tracking/mpc_path_tracking.py diff --git a/Dockerfile b/Dockerfile index 7f9c706c..b2e15813 100644 --- a/Dockerfile +++ b/Dockerfile @@ -30,5 +30,10 @@ WORKDIR $WORKDIR RUN python -m pip install --upgrade --user pip RUN python -m pip install --upgrade --user setuptools +# Install do-mpc + CasADi +RUN pip install --no-cache-dir \ + casadi>=3.6.5 \ + do-mpc>=4.6.4 + COPY requirements.txt $WORKDIR RUN python -m pip install --user -r requirements.txt \ No newline at end of file diff --git a/src/components/control/mpc/mpc_controller.py b/src/components/control/mpc/mpc_controller.py new file mode 100644 index 00000000..6a13bfe4 --- /dev/null +++ b/src/components/control/mpc/mpc_controller.py @@ -0,0 +1,467 @@ +""" +mpc_controller.py + +Model Predictive Control (MPC) controller for path tracking. +Follows the standard MPC formulation: receding-horizon optimization over a +finite horizon, bicycle kinematic model (CasADi/do-mpc backend), time-varying +reference trajectory injection via TVP, and IPOPT-based NLP solving with +automatic warm-starting. Uses (steer, accel) as control input; converts to +(accel, yaw_rate) for the existing vehicle interface. Visualizes the optimal +predicted trajectory. + +──────────────────── +Built on the do-mpc framework (https://www.do-mpc.com), which provides: + - do_mpc.model.Model : symbolic bicycle kinematic model (CasADi backend) + - do_mpc.controller.MPC : horizon formulation, NLP assembly, IPOPT solver + - Time-varying parameters (TVP) : reference trajectory injected each step + - set_rterm : quadratic smoothness / rate-of-change penalty on Delta-u + + +Reference trajectory +──────────────────── +Arc-length-scaled waypoints ensure the T+1 reference points are spaced +exactly v*dt apart in distance, matching the bicycle model rollout +cadence. Velocity reference uses a quadratic taper over the final +_DECEL_DIST metres so the solver sees a smooth approach to zero speed. +All horizon steps are pinned to the last waypoint once it is reached, +preventing the tiled course array from pulling the reference off-path. + +Stopping behaviour +────────────────── +A one-way latch (_stopped flag) activates inside _STOP_DIST of the goal. +Once latched, the controller commands a proportional brake +(accel proportional to -speed) until the vehicle is stationary, then +holds zero. The latch never resets, preventing re-entry into the solver +after arrival. +""" + +import math +import time +import warnings +import numpy as np +import do_mpc +import casadi as ca + + +# ── tuning knobs ──────────────────────────────────────────────────────────── +_STOP_DIST = 2.0 # latch outputs to zero inside this radius (never exits) +_BRAKE_DIST = 5.0 # quadratic brake ramp starts here +_DECEL_DIST = 15.0 # reference velocity taper starts here + + +class _StateView: + """Minimal duck-type of the real State class for course queries.""" + + def __init__(self, x_m, y_m, yaw_rad=0.0, speed_mps=0.0): + self.x_m = x_m; self.y_m = y_m + self.yaw_rad = yaw_rad; self.speed_mps = speed_mps + + def get_x_m(self): return self.x_m + def get_y_m(self): return self.y_m + def get_yaw_rad(self): return self.yaw_rad + def get_speed_mps(self): return self.speed_mps + + +class MpcController: + """ + do-mpc based MPC path-tracking controller. + Public interface is identical to MppiController. + """ + + def __init__( + self, + spec, + course=None, + color="r", + delta_t: float = 0.05, + horizon_step_T: int = 15, + stage_cost_weight=None, + terminal_cost_weight=None, + control_cost_weight=None, + smoothness_cost_weight=None, + max_steer_abs: float = 0.523, + max_accel_abs: float = 2.0, + v_min: float = 0.0, # no reverse + v_max: float = 20.0, + ipopt_max_iter: int = 80, + ipopt_print_level: int = 0, + visualize_optimal_traj: bool = True, + ): + self.WHEEL_BASE_M = spec.wheel_base_m + self.course = course + self._ext_x = None + self._ext_y = None + self._ext_yaw = None + self._ext_spd = None + self._ext_arc = None + self._n_course = 0 + self.DRAW_COLOR = color + self.delta_t = delta_t + self.T = horizon_step_T + + self._sw = np.asarray(stage_cost_weight or [50., 50., 1., 20.]) + tw_default = self._sw * np.array([2., 2., 2., 4.]) # speed weight on terminal cost + self._tw = np.asarray(terminal_cost_weight or tw_default) + self._cw = np.asarray(control_cost_weight or [1.0, 0.5]) + self._smw = np.asarray(smoothness_cost_weight or [5.0, 2.0]) + + self.max_steer = max_steer_abs + self.max_accel = max_accel_abs + self.v_min = v_min + self.v_max = v_max + + self._ipopt_opts = { + "ipopt.max_iter": ipopt_max_iter, + "ipopt.print_level": ipopt_print_level, + "ipopt.sb": "yes", + "print_time": 0, + } + + self.target_accel_mps2 = 0.0 + self.target_steer_rad = 0.0 + self.target_yaw_rate_rps = 0.0 + self.target_speed_mps = 0.0 + self.optimal_trajectory = None + self.solve_time_ms = 0.0 + self.solver_success = False + self.visualize_optimal_traj = visualize_optimal_traj + + self._current_ref = np.zeros((4, self.T + 1)) + self._prev_waypoint_idx = 0 + self._stopped = False # latches True at goal; never resets + + self._build_arclength_table() + self._model = self._build_model() + self._mpc = self._build_mpc(self._model) + self._initialized = False + + # ------------------------------------------------------------------ # + # do-mpc model # + # ------------------------------------------------------------------ # + def _build_model(self): + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + model = do_mpc.model.Model("discrete") + + model.set_variable("_x", "px") + model.set_variable("_x", "py") + model.set_variable("_x", "yaw") + model.set_variable("_x", "vel") + model.set_variable("_u", "steer") + model.set_variable("_u", "accel") + model.set_variable("_tvp", "ref_x") + model.set_variable("_tvp", "ref_y") + model.set_variable("_tvp", "ref_yaw") + model.set_variable("_tvp", "ref_vel") + + yaw_err = ca.atan2( + ca.sin(model.x["yaw"] - model.tvp["ref_yaw"]), + ca.cos(model.x["yaw"] - model.tvp["ref_yaw"]), + ) + model.set_expression("yaw_err", yaw_err) + + L = self.WHEEL_BASE_M + dt = self.delta_t + model.set_rhs("px", model.x["px"] + model.x["vel"] * ca.cos(model.x["yaw"]) * dt) + model.set_rhs("py", model.x["py"] + model.x["vel"] * ca.sin(model.x["yaw"]) * dt) + model.set_rhs("yaw", model.x["yaw"] + model.x["vel"] / L * ca.tan(model.u["steer"]) * dt) + model.set_rhs("vel", model.x["vel"] + model.u["accel"] * dt) + model.setup() + return model + + # ------------------------------------------------------------------ # + # do-mpc controller # + # ------------------------------------------------------------------ # + def _build_mpc(self, model): + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + mpc = do_mpc.controller.MPC(model) + + mpc.set_param( + n_horizon = self.T, + t_step = self.delta_t, + n_robust = 0, + store_full_solution = True, + nlpsol_opts = self._ipopt_opts, + ) + + tvp_template = mpc.get_tvp_template() + + def tvp_fun(t_now): + for k in range(self.T + 1): + tvp_template["_tvp", k, "ref_x"] = float(self._current_ref[0, k]) + tvp_template["_tvp", k, "ref_y"] = float(self._current_ref[1, k]) + tvp_template["_tvp", k, "ref_yaw"] = float(self._current_ref[2, k]) + tvp_template["_tvp", k, "ref_vel"] = float(self._current_ref[3, k]) + return tvp_template + + mpc.set_tvp_fun(tvp_fun) + + sw = self._sw + tw = self._tw + x = model.x + tvp = model.tvp + + lterm = ( + sw[0] * (x["px"] - tvp["ref_x"]) ** 2 + + sw[1] * (x["py"] - tvp["ref_y"]) ** 2 + + sw[2] * model.aux["yaw_err"] ** 2 + + sw[3] * (x["vel"] - tvp["ref_vel"]) ** 2 + ) + mterm = ( + tw[0] * (x["px"] - tvp["ref_x"]) ** 2 + + tw[1] * (x["py"] - tvp["ref_y"]) ** 2 + + tw[2] * model.aux["yaw_err"] ** 2 + + tw[3] * (x["vel"] - tvp["ref_vel"]) ** 2 + ) + + mpc.set_objective(lterm=lterm, mterm=mterm) + mpc.set_rterm( + steer = float(self._cw[0] + self._smw[0]), + accel = float(self._cw[1] + self._smw[1]), + ) + + mpc.bounds["lower", "_u", "steer"] = -self.max_steer + mpc.bounds["upper", "_u", "steer"] = self.max_steer + mpc.bounds["lower", "_u", "accel"] = -self.max_accel + mpc.bounds["upper", "_u", "accel"] = self.max_accel + mpc.bounds["lower", "_x", "vel"] = self.v_min + mpc.bounds["upper", "_x", "vel"] = self.v_max + + mpc.setup() + return mpc + + # ------------------------------------------------------------------ # + # Arc-length table # + # ------------------------------------------------------------------ # + def _build_arclength_table(self) -> None: + if not self.course: + return + n = 0 + xs, ys, yaws, speeds = [], [], [], [] + while True: + try: + xs.append(self.course.point_x_m(n)) + ys.append(self.course.point_y_m(n)) + yaws.append(self.course.point_yaw_rad(n)) + speeds.append(self.course.point_speed_mps(n)) + n += 1 + except Exception: + break + if n == 0: + return + + xs = np.array(xs); ys = np.array(ys) + yaws = np.array(yaws); speeds = np.array(speeds) + seg = np.hypot(np.diff(xs), np.diff(ys)) + arc = np.concatenate([[0.0], np.cumsum(seg)]) + total = arc[-1] + + self._n_course = n + self._ext_x = np.tile(xs, 3) + self._ext_y = np.tile(ys, 3) + self._ext_yaw = np.tile(yaws, 3) + self._ext_spd = np.tile(speeds, 3) + self._ext_arc = np.concatenate([arc, arc + total, arc + 2 * total]) + + # ------------------------------------------------------------------ # + # Reference trajectory # + # ------------------------------------------------------------------ # + def _get_reference_trajectory(self, x0: float, y0: float, + current_speed: float) -> np.ndarray: + """ + Build T+1 reference waypoints. + + once best_idx reaches the last course point, every + remaining horizon step is pinned to that last waypoint + with ref_vel = 0. This prevents the tiled region from + pulling the reference (and therefore the robot) off the + actual path near the goal. + + quadratic velocity taper over _DECEL_DIST = 15 m. + """ + if not self.course or self._ext_arc is None: + return np.zeros((4, self.T + 1)) + + n = self._n_course + dt = self.delta_t + v_ref = max(abs(current_speed), 1.0) + step_len = v_ref * dt + + goal_x = self._ext_x[n - 1] + goal_y = self._ext_y[n - 1] + + # ── nearest forward index (clamped to first tile) ───────────────── + WINDOW = 60 + best_idx = self._prev_waypoint_idx + best_d = float("inf") + for off in range(WINDOW): + ci = self._prev_waypoint_idx + off + if ci >= n: + break + d = (self._ext_x[ci] - x0) ** 2 + (self._ext_y[ci] - y0) ** 2 + if d < best_d: + best_d = d + best_idx = ci + + best_idx = min(best_idx, n - 1) # hard clamp + self._prev_waypoint_idx = best_idx + + s0 = self._ext_arc[best_idx] + ref = np.zeros((4, self.T + 1)) + + for k in range(self.T + 1): + # already at last waypoint: pin all future steps + if best_idx >= n - 1: + ref[0, k] = self._ext_x[n - 1] + ref[1, k] = self._ext_y[n - 1] + ref[2, k] = self._ext_yaw[n - 1] + ref[3, k] = 0.0 + continue + + target_s = s0 + k * step_len + search_start = best_idx + search_end = n # stay within first tile + diffs = np.abs(self._ext_arc[search_start:search_end] - target_s) + ki = search_start + int(np.argmin(diffs)) + ki = min(ki, n - 1) + + ref[0, k] = self._ext_x[ki] + ref[1, k] = self._ext_y[ki] + ref[2, k] = self._ext_yaw[ki] + + # quadratic taper + dist_to_goal = np.hypot(self._ext_x[ki] - goal_x, + self._ext_y[ki] - goal_y) + if dist_to_goal < _DECEL_DIST: + t = dist_to_goal / _DECEL_DIST + ref[3, k] = self._ext_spd[ki] * (t * t) + else: + ref[3, k] = self._ext_spd[ki] + + return ref + + # ------------------------------------------------------------------ # + # Public update # + # ------------------------------------------------------------------ # + def update(self, state, time_s: float) -> None: + if not self.course: + self.target_accel_mps2 = 0.0 + self.target_yaw_rate_rps = 0.0 + self.target_steer_rad = 0.0 + self.target_speed_mps = state.get_speed_mps() + self.optimal_trajectory = None + return + + px = float(state.get_x_m()) + py = float(state.get_y_m()) + yaw = float(state.get_yaw_rad()) + vel = float(state.get_speed_mps()) + x0 = np.array([[px], [py], [yaw], [vel]]) + + self._current_ref = self._get_reference_trajectory(px, py, vel) + + dist_to_goal = float("inf") + if self._n_course > 0: + gx = self._ext_x[self._n_course - 1] + gy = self._ext_y[self._n_course - 1] + dist_to_goal = np.hypot(px - gx, py - gy) + + # Latch it, once inside _STOP_DIST + if dist_to_goal < _STOP_DIST: + self._stopped = True + + if self._stopped: + # Actively brake until truly stopped, then hold zero. + # Setting accel=0 leaves momentum; we must command negative + # accel proportional to current speed until vel ~ 0. + if abs(vel) > 0.05: + self.target_accel_mps2 = max(-self.max_accel, + -self.max_accel * min(abs(vel), 1.0)) + else: + self.target_accel_mps2 = 0.0 + self.target_steer_rad = 0.0 + self.target_yaw_rate_rps = 0.0 + self.target_speed_mps = 0.0 + self.optimal_trajectory = None + return + + if not self._initialized: + self._mpc.x0 = x0 + self._mpc.set_initial_guess() + self._initialized = True + + t_start = time.perf_counter() + with warnings.catch_warnings(): + warnings.simplefilter("ignore") + try: + u0 = self._mpc.make_step(x0) + self.solver_success = True + except Exception: + u0 = np.zeros((2, 1)) + self.solver_success = False + self.solve_time_ms = (time.perf_counter() - t_start) * 1e3 + + steer0 = float(np.clip(np.asarray(u0).flat[0], -self.max_steer, self.max_steer)) + accel0 = float(np.clip(np.asarray(u0).flat[1], -self.max_accel, self.max_accel)) + + # Quadratic brake ramp override — force deceleration near goal + if dist_to_goal < _BRAKE_DIST: + brake_scale = (dist_to_goal / _BRAKE_DIST) ** 2 + max_brake = -self.max_accel * (1.0 - brake_scale) + accel0 = min(accel0, max_brake) + # Once essentially stopped, hold at exactly zero + if vel < 0.1: + accel0 = 0.0 + + # when nearly stopped, never command negative accel (no reverse) + # This is unconditional: v_min=0 prevents the state going negative but + # one solver step of negative accel still causes a backward lurch. + if abs(vel) < 0.3: + accel0 = max(accel0, 0.0) if dist_to_goal > _BRAKE_DIST else 0.0 + + self.target_steer_rad = steer0 + self.target_accel_mps2 = accel0 + + v0 = state.get_speed_mps() + self.target_yaw_rate_rps = ( + 0.0 if abs(v0) < 1e-9 + else v0 / self.WHEEL_BASE_M * math.tan(steer0) + ) + self.target_speed_mps = v0 + + if self.visualize_optimal_traj: + try: + px_pred = [float(np.asarray(self._mpc.opt_x_num["_x", k, 0, "px"]).flat[0]) + for k in range(self.T + 1)] + py_pred = [float(np.asarray(self._mpc.opt_x_num["_x", k, 0, "py"]).flat[0]) + for k in range(self.T + 1)] + self.optimal_trajectory = (px_pred, py_pred) + except Exception: + try: + x_pred = np.array(self._mpc.opt_x_num["_x"]).reshape(self.T + 1, -1) + self.optimal_trajectory = (x_pred[:, 0].tolist(), x_pred[:, 1].tolist()) + except Exception: + self.optimal_trajectory = None + else: + self.optimal_trajectory = None + + # ------------------------------------------------------------------ # + # Getters # + # ------------------------------------------------------------------ # + def get_target_accel_mps2(self) -> float: return self.target_accel_mps2 + def get_target_steer_rad(self) -> float: return self.target_steer_rad + def get_target_yaw_rate_rps(self) -> float: return self.target_yaw_rate_rps + + # ------------------------------------------------------------------ # + # Visualisation # + # ------------------------------------------------------------------ # + def draw(self, axes, elems) -> None: + if self.visualize_optimal_traj and self.optimal_trajectory: + x_list, y_list = self.optimal_trajectory + (line,) = axes.plot( + x_list, y_list, + color=self.DRAW_COLOR, 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