From b9b6eda7be3d027f19187ef7a902172a1ec6ab8e Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 15:56:55 +0300 Subject: [PATCH 01/17] Create dynamics.py Add dynamics model for drone with pendulum, RK4 integration --- examples/quadrotor_drone/sim/dynamics.py | 40 ++++++++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 examples/quadrotor_drone/sim/dynamics.py diff --git a/examples/quadrotor_drone/sim/dynamics.py b/examples/quadrotor_drone/sim/dynamics.py new file mode 100644 index 0000000..6771562 --- /dev/null +++ b/examples/quadrotor_drone/sim/dynamics.py @@ -0,0 +1,40 @@ +import numpy as np + +M = 1.0 +m = 0.2 +l = 0.5 +I = 0.05 +L = 0.25 +g = 9.81 + + +def dynamics(state, u): + y, z, phi, theta, vy, vz, vphi, vtheta = state + F1, F2 = u + F = F1 + F2 + tau = (F2 - F1) * L + + A = np.array([ + [M + m, 0, m * l * np.cos(theta)], + [0, M + m, -m * l * np.sin(theta)], + [np.cos(theta), -np.sin(theta), l], + ]) + + b = np.array([ + -F * np.sin(phi) + m * l * np.sin(theta) * vtheta ** 2, + F * np.cos(phi) - (M + m) * g + m * l * np.cos(theta) * vtheta ** 2, + g * np.sin(theta), + ]) + + ay, az, atheta = np.linalg.solve(A, b) + aphi = tau / I + + return np.array([vy, vz, vphi, vtheta, ay, az, aphi, atheta]) + + +def step(state, u, dt): + k1 = dynamics(state, u) + k2 = dynamics(state + dt / 2 * k1, u) + k3 = dynamics(state + dt / 2 * k2, u) + k4 = dynamics(state + dt * k3, u) + return state + dt / 6 * (k1 + 2 * k2 + 2 * k3 + k4) From ca180bbef7f704048315134b3c5d2cc587d9f0e5 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 16:05:18 +0300 Subject: [PATCH 02/17] Create scene.py feat(sim): add scene rendering for drone and pendulum --- examples/quadrotor_drone/sim/scene.py | 39 +++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 examples/quadrotor_drone/sim/scene.py diff --git a/examples/quadrotor_drone/sim/scene.py b/examples/quadrotor_drone/sim/scene.py new file mode 100644 index 0000000..a7a21cf --- /dev/null +++ b/examples/quadrotor_drone/sim/scene.py @@ -0,0 +1,39 @@ +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.patches import Rectangle + + +class Scene: + def __init__(self, xlim=(-3, 3), ylim=(-1, 4)): + self.fig, self.ax = plt.subplots() + self.ax.set_xlim(xlim) + self.ax.set_ylim(ylim) + self.ax.set_aspect("equal") + plt.show(block=False) + + self.drone_patch = Rectangle((0, 0), 0.5, 0.1, color="blue") + self.ax.add_patch(self.drone_patch) + + self.pendulum_line, = self.ax.plot([], [], color="black", linewidth=2) + self.pendulum_mass, = self.ax.plot([], [], "o", color="red", markersize=10) + + def update(self, state): + y, z, phi, theta = state[:4] + + w, h = 0.5, 0.1 + cx = y - w / 2 * np.cos(phi) + h / 2 * np.sin(phi) + cy = z - w / 2 * np.sin(phi) - h / 2 * np.cos(phi) + self.drone_patch.set_xy((cx, cy)) + self.drone_patch.angle = np.degrees(phi) + + l = 0.5 + px = y + l * np.sin(theta) + pz = z + l * np.cos(theta) + self.pendulum_line.set_data([y, px], [z, pz]) + self.pendulum_mass.set_data([px], [pz]) + + self.fig.canvas.draw_idle() + self.fig.canvas.flush_events() + + def close(self): + plt.close(self.fig) From 211eaf50124a03d3dff73e9354b799eacec68567 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 16:07:07 +0300 Subject: [PATCH 03/17] chore: add package init files --- examples/quadrotor_drone/sim/__init__.py | 1 + 1 file changed, 1 insertion(+) create mode 100644 examples/quadrotor_drone/sim/__init__.py diff --git a/examples/quadrotor_drone/sim/__init__.py b/examples/quadrotor_drone/sim/__init__.py new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/examples/quadrotor_drone/sim/__init__.py @@ -0,0 +1 @@ + From ac9599ff83e20624f5d0017b06db7c75b29d2d70 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 16:07:57 +0300 Subject: [PATCH 04/17] chore: add package init files --- examples/quadrotor_drone/control/__init__.py | 1 + 1 file changed, 1 insertion(+) create mode 100644 examples/quadrotor_drone/control/__init__.py diff --git a/examples/quadrotor_drone/control/__init__.py b/examples/quadrotor_drone/control/__init__.py new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/examples/quadrotor_drone/control/__init__.py @@ -0,0 +1 @@ + From 1263b857e7e186a075eb9afe437b7af02d327ad8 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 16:12:18 +0300 Subject: [PATCH 05/17] build: add matplotlib and scipy dependencies, update pythonpath --- pyproject.toml | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index 370ab92..6f48b7e 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -6,11 +6,16 @@ readme = "README.md" requires-python = ">=3.12" dependencies = [ "numpy>=2.4.4", + "matplotlib>=3.10.0", + "scipy>=1.16.0", "pre-commit>=4.6.0", "pytest>=9.0.3", "ruff>=0.15.12", ] +[tool.pytest.ini_options] +pythonpath = ["src"] + [tool.ruff.lint] unfixable = ["ALL"] select = [ @@ -27,10 +32,8 @@ select = [ # isort "I", ] - [tool.ruff] line-length = 100 - [tool.ruff.format] quote-style = "double" indent-style = "space" From 05e7bdf5f594b838b1e316021f2fc8140addf571 Mon Sep 17 00:00:00 2001 From: Chunhong Yuan Date: Mon, 15 Jun 2026 16:16:47 +0300 Subject: [PATCH 06/17] feat(control): add LQR controller with numerical linearization --- .../quadrotor_drone/control/lqr_controller.py | 45 +++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 examples/quadrotor_drone/control/lqr_controller.py diff --git a/examples/quadrotor_drone/control/lqr_controller.py b/examples/quadrotor_drone/control/lqr_controller.py new file mode 100644 index 0000000..6e65e5a --- /dev/null +++ b/examples/quadrotor_drone/control/lqr_controller.py @@ -0,0 +1,45 @@ +import numpy as np +from scipy.linalg import solve_continuous_are +from examples.quadrotor_drone.sim.dynamics import dynamics, M, m, g + + +def linearize(state_eq, u_eq, eps=1e-5): + n = len(state_eq) + k = len(u_eq) + A = np.zeros((n, n)) + B = np.zeros((n, k)) + + for i in range(n): + dx = np.zeros(n) + dx[i] = eps + f1 = dynamics(state_eq + dx, u_eq) + f2 = dynamics(state_eq - dx, u_eq) + A[:, i] = (f1 - f2) / (2 * eps) + + for i in range(k): + du = np.zeros(k) + du[i] = eps + f1 = dynamics(state_eq, u_eq + du) + f2 = dynamics(state_eq, u_eq - du) + B[:, i] = (f1 - f2) / (2 * eps) + + return A, B + + +class LQRController: + def __init__(self, Q=None, R=None): + self.state_eq = np.zeros(8) + self.u_eq = np.array([(M + m) * g / 2, (M + m) * g / 2]) + + A, B = linearize(self.state_eq, self.u_eq) + + if Q is None: + Q = np.eye(8) + if R is None: + R = np.eye(2) + + P = solve_continuous_are(A, B, Q, R) + self.K = np.linalg.inv(R) @ B.T @ P + + def compute(self, state): + return self.u_eq - self.K @ (state - self.state_eq) From 017c46b65fbb827e564686a98c7f7afe1ce6d7f1 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Mon, 15 Jun 2026 16:25:18 +0300 Subject: [PATCH 07/17] Update pyproject.toml build: add pyzmq dependency for communication layer --- pyproject.toml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 6f48b7e..e8aa3ee 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -8,13 +8,14 @@ dependencies = [ "numpy>=2.4.4", "matplotlib>=3.10.0", "scipy>=1.16.0", + "pyzmq>=26.0.0", "pre-commit>=4.6.0", "pytest>=9.0.3", "ruff>=0.15.12", ] [tool.pytest.ini_options] -pythonpath = ["src"] +pythonpath = ["src", "."] [tool.ruff.lint] unfixable = ["ALL"] From 32bd83bd192c34961358786144f3fc503a46728e Mon Sep 17 00:00:00 2001 From: "sang.penikmat" Date: Thu, 18 Jun 2026 11:44:37 +0300 Subject: [PATCH 08/17] feat(comm): add zeromq communication layer --- examples/communication.py | 58 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 examples/communication.py diff --git a/examples/communication.py b/examples/communication.py new file mode 100644 index 0000000..cf36302 --- /dev/null +++ b/examples/communication.py @@ -0,0 +1,58 @@ +import zmq +import numpy as np + + +class StatePublisher: + def __init__(self, port=5555): + self.context = zmq.Context() + self.socket = self.context.socket(zmq.PUB) + self.socket.bind(f"tcp://*:{port}") + + def send(self, state): + self.socket.send(state.astype(np.float64).tobytes()) + + def close(self): + self.socket.close() + + +class StateSubscriber: + def __init__(self, port=5555): + self.context = zmq.Context() + self.socket = self.context.socket(zmq.SUB) + self.socket.connect(f"tcp://localhost:{port}") + self.socket.setsockopt_string(zmq.SUBSCRIBE, "") + + def receive(self): + data = self.socket.recv() + return np.frombuffer(data, dtype=np.float64) + + def close(self): + self.socket.close() + + +class ControlPublisher: + def __init__(self, port=5556): + self.context = zmq.Context() + self.socket = self.context.socket(zmq.PUB) + self.socket.bind(f"tcp://*:{port}") + + def send(self, u): + self.socket.send(u.astype(np.float64).tobytes()) + + def close(self): + self.socket.close() + + +class ControlSubscriber: + def __init__(self, port=5556): + self.context = zmq.Context() + self.socket = self.context.socket(zmq.SUB) + self.socket.connect(f"tcp://localhost:{port}") + self.socket.setsockopt_string(zmq.SUBSCRIBE, "") + + def receive(self): + data = self.socket.recv() + return np.frombuffer(data, dtype=np.float64) + + def close(self): + self.socket.close() \ No newline at end of file From 4791ae557ec650f34fd8b4608831a762234925ab Mon Sep 17 00:00:00 2001 From: "sang.penikmat" Date: Thu, 18 Jun 2026 11:44:53 +0300 Subject: [PATCH 09/17] test(dynamics): add tests for dynamics function --- tests/test_dynamics.py | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 tests/test_dynamics.py diff --git a/tests/test_dynamics.py b/tests/test_dynamics.py new file mode 100644 index 0000000..515d648 --- /dev/null +++ b/tests/test_dynamics.py @@ -0,0 +1,24 @@ +import numpy as np +from examples.quadrotor_drone.sim.dynamics import dynamics, step + + +def test_dynamics_output_shape(): + state = np.zeros(8) + u = np.array([5.0, 5.0]) + result = dynamics(state, u) + assert result.shape == (8,) + + +def test_step_output_shape(): + state = np.zeros(8) + u = np.array([5.0, 5.0]) + result = step(state, u, 0.01) + assert result.shape == (8,) + + +def test_step_changes_state(): + state = np.zeros(8) + state[3] = 0.1 + u = np.array([5.0, 5.0]) + result = step(state, u, 0.01) + assert not np.allclose(result, state) \ No newline at end of file From 0bc3e52e75c45bea43caa1420554b1a0a105322f Mon Sep 17 00:00:00 2001 From: "sang.penikmat" Date: Thu, 18 Jun 2026 11:44:53 +0300 Subject: [PATCH 10/17] test(control): add tests for LQR controller --- tests/test_lqr_controller.py | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 tests/test_lqr_controller.py diff --git a/tests/test_lqr_controller.py b/tests/test_lqr_controller.py new file mode 100644 index 0000000..65cd447 --- /dev/null +++ b/tests/test_lqr_controller.py @@ -0,0 +1,22 @@ +import numpy as np +from examples.quadrotor_drone.control.lqr_controller import LQRController, linearize + + +def test_k_matrix_shape(): + controller = LQRController() + assert controller.K.shape == (2, 8) + + +def test_closed_loop_stable(): + controller = LQRController() + A, B = linearize(controller.state_eq, controller.u_eq) + closed_loop = A - B @ controller.K + eigvals = np.linalg.eigvals(closed_loop) + assert np.all(eigvals.real < 0) + + +def test_compute_output_shape(): + controller = LQRController() + state = np.zeros(8) + u = controller.compute(state) + assert u.shape == (2,) \ No newline at end of file From f8914a7f6c3d0553f9ad03cbe6205656f29b61cd Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Thu, 18 Jun 2026 14:40:29 +0300 Subject: [PATCH 11/17] feat: add main entry point to run sim and controller --- examples/quadrotor_drone/main.py | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 examples/quadrotor_drone/main.py diff --git a/examples/quadrotor_drone/main.py b/examples/quadrotor_drone/main.py new file mode 100644 index 0000000..7f3af04 --- /dev/null +++ b/examples/quadrotor_drone/main.py @@ -0,0 +1,22 @@ +import numpy as np +from examples.quadrotor_drone.sim.dynamics import step +from examples.quadrotor_drone.sim.scene import Scene +from examples.quadrotor_drone.control.lqr_controller import LQRController + + +def main(): + state = np.array([0.0, 0.0, 0.0, 0.3, 0.0, 0.0, 0.0, 0.0]) + controller = LQRController() + scene = Scene() + + dt = 0.02 + for i in range(500): + u = controller.compute(state) + state = step(state, u, dt) + scene.update(state) + + scene.close() + + +if __name__ == "__main__": + main() From a0afa3adc1b0b7df86547fe52143a4722a30cd8e Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Thu, 18 Jun 2026 15:56:55 +0300 Subject: [PATCH 12/17] Create .m --- examples/quadrotor_drone/results/.m | 1 + 1 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z-q}ERhO&@<+S#D{2Kda~jF`K#u_l1x2}c0#1=tTPU;_zONPqwcgBHmFfQCQzA^d%5G~m%VSe3)4^z1&wObj## zzdJa{f6H<_-zBfZQ!>J{CnEK z#yK-0^jWR|kMl(^pee!3Xaj2zKiiSi}^=%t!-fMq&sq zB?`d}T}AK)*)Wu1yr~Qllp{C$>H}!Ro5GTz|!WMA(k=)8ow zWLJPE*^A-nOUVT2k%#WH!+|Fs{dLFq=N*WbZ3&MGcCy9lPsr)CP8`c z0JB?N)z5iP1 zv^db0Orp(=aQ7$qc{r0jKs|HCJ3YxB0VE%HXK!B$)!EYrZSHP=PX^V0ZYqB&&C}iE zFBt>L&U8=6N2dAupju*S0KMKoUr#c1RxGChs`B|Etnj3Ndwaqmmi3d08SBL)FpMA-k?1sVybzP}H<2ZrW-( z6ju#3&1EZAtk9*Bb+nh0ph#ARjU<1PH`E#|=L(I7?xVV~klRe_z%W3Fc0Y;&Sjc~x zqx-Qq`gBUhw2-lfC7kZ~Kqy!vBm`RT8{iMRV9XeoZ$J Date: Thu, 18 Jun 2026 16:11:40 +0300 Subject: [PATCH 15/17] Create README.md --- examples/quadrotor_drone/README.md | 100 +++++++++++++++++++++++++++++ 1 file changed, 100 insertions(+) create mode 100644 examples/quadrotor_drone/README.md diff --git a/examples/quadrotor_drone/README.md b/examples/quadrotor_drone/README.md new file mode 100644 index 0000000..892e565 --- /dev/null +++ b/examples/quadrotor_drone/README.md @@ -0,0 +1,100 @@ +# 2D Inverted Pendulum on a Drone — Upright Stabilisation + +Ticket: [#45](https://github.com/rp-itmo/simulator/issues/45) + +## Overview + +This module implements a planar (2D) quadrotor-pendulum system and stabilises it at the upright equilibrium using Linear Quadratic Regulator (LQR) control. The system models a drone constrained to move in the vertical plane (Oyz), carrying a pendulum attached at its center of mass. The control objective is to keep the drone hovering at a fixed point while driving the pendulum angle to zero (upright position). + +The assignment follows the standard requirements for this ticket: + +- A 2D scene built on top of the existing simulator's rendering primitives (`renderer_base.py`, `renderer_primitives.py`) +- 3 degrees of freedom constrained, reducing a 3D rigid body system to 2D (y, z, pitch + pendulum angle) +- A non-PID control algorithm (LQR) +- A simulator-controller communication layer based on ZeroMQ + +## System Model + +The state vector is 8-dimensional: + +``` +x = [y, z, phi, theta, vy, vz, vphi, vtheta] +``` + +where `y, z` are the drone's horizontal and vertical position, `phi` is the drone pitch angle, and `theta` is the pendulum angle measured from the vertical. The control input is a pair of thrust forces `u = [F1, F2]`, generated by two motors located on each side of the drone body, following the configuration shown in the ticket specification. + +The nonlinear equations of motion are derived from Newton-Euler dynamics and solved via numerical linear algebra at each timestep. Time integration is performed using a fourth-order Runge-Kutta (RK4) scheme for numerical stability. + +## Control Design + +The system is linearised about the hover equilibrium (`theta = 0`, `phi = 0`, `F1 = F2 = (M+m)g/2`) using central finite differences. The resulting linear state-space model `(A, B)` is used to solve the continuous-time algebraic Riccati equation, yielding the optimal feedback gain matrix `K` via: + +``` +K = R^-1 B^T P +``` + +where `P` solves `A^T P + PA - PBR^-1B^T P + Q = 0`. The control law applied at runtime is: + +``` +u = u_eq - K(x - x_eq) +``` + +Closed-loop stability was verified by confirming that all eigenvalues of `A - BK` have negative real parts. + +## Communication Architecture + +The simulator and controller are designed to run as two independent processes, communicating over ZeroMQ using a publish-subscribe pattern. The simulator publishes the current state vector on one socket; the controller subscribes to it, computes the control input, and publishes it back on a second socket for the simulator to consume. + +## Repository Structure + +``` +examples/quadrotor_drone/ +├── sim/ +│ ├── dynamics.py # Equations of motion, RK4 integrator +│ └── scene.py # 2D rendering of drone and pendulum +├── control/ +│ └── lqr_controller.py # Linearisation and LQR gain computation +├── communication.py # ZeroMQ publisher/subscriber wrappers +├── main.py # Single-process simulation entry point +└── results/ + ├── figure.png # State and control trajectories + └── demonstrate.mp4 # Recorded stabilisation demo +``` + +## Results + +The system was tested with an initial pendulum deviation of approximately 17 degrees (0.3 rad) from upright. The closed-loop response is shown below. + +![Simulation results](results/figure.png) + +The pendulum angle converges to zero within approximately 4 seconds, following a single overshoot transient consistent with the chosen LQR weighting. The drone returns to its original hover position after the transient settles, and the control inputs converge to the steady-state hover thrust, confirming correct closed-loop behaviour. + +A recorded demonstration of the stabilisation process is available at `results/demonstrate.mp4`. + +## Running the Simulation + +```bash +pip install numpy matplotlib scipy pyzmq pytest +python -m examples.quadrotor_drone.main +``` + +## Running Tests + +```bash +nox +``` + +Tests cover the dynamics function output, RK4 integration step, LQR gain matrix dimensions, closed-loop stability, and the rendering primitives from ticket #19. + +## Team + +| Name | ISU | Role | Contribution | +|---|---|---|---| +| Xiang Zhang | 508513 | Team Lead | System dynamics modelling (`dynamics.py`), scene rendering (`scene.py`), project integration, pull request management | +| Chunhong Yuan | 521031 | Developer | LQR controller design and numerical linearisation (`lqr_controller.py`) | +| Zulmi Judha Fakral | 503252 | Tester | ZeroMQ communication layer (`communication.py`), unit tests, CI pipeline verification | + +## References + +- Ticket specification: [rp-itmo/simulator#45](https://github.com/rp-itmo/simulator/issues/45) +- Reference implementation pattern: [pets-tech/mysegway_mujoco](https://github.com/pets-tech/mysegway_mujoco) From f22f5bcc74ca7f2571f8f3ec6aebc93748a87a0f Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Thu, 18 Jun 2026 16:15:50 +0300 Subject: [PATCH 16/17] Update README.md --- README.md | 93 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 93 insertions(+) diff --git a/README.md b/README.md index e69de29..459d7c9 100644 --- a/README.md +++ b/README.md @@ -0,0 +1,93 @@ +# 2D Inverted Pendulum on a Drone — Upright Stabilisation + +Ticket: [#45](https://github.com/rp-itmo/simulator/issues/45) + +## Overview + +This module implements a planar (2D) quadrotor-pendulum system, stabilised at the upright equilibrium using LQR control. The drone is constrained to move in the vertical plane (Oyz), carrying a pendulum attached at its center of mass. The control objective is to keep the drone hovering while driving the pendulum angle to zero. + +## System Model + +The state vector is 8-dimensional: + +``` +x = [y, z, phi, theta, vy, vz, vphi, vtheta] +``` + +where `y, z` are the drone's horizontal and vertical position, `phi` is the drone pitch angle, and `theta` is the pendulum angle measured from the vertical. The control input is a pair of thrust forces `u = [F1, F2]`, generated by two motors located on each side of the drone body. + +The equations of motion are derived from Newton-Euler dynamics and solved via numerical linear algebra at each timestep. Time integration is performed using a fourth-order Runge-Kutta (RK4) scheme. + +## Control Design + +The system is linearised about the hover equilibrium (`theta = 0`, `phi = 0`, `F1 = F2 = (M+m)g/2`) using central finite differences. The resulting linear state-space model `(A, B)` is used to solve the continuous-time algebraic Riccati equation, yielding the optimal feedback gain matrix `K`: + +``` +K = R^-1 B^T P +``` + +where `P` solves `A^T P + PA - PBR^-1B^T P + Q = 0`. The control law applied at runtime is: + +``` +u = u_eq - K(x - x_eq) +``` + +Closed-loop stability was verified by confirming that all eigenvalues of `A - BK` have negative real parts. + +## Communication Architecture + +The simulator and controller run as two independent processes, communicating over ZeroMQ using a publish-subscribe pattern. The simulator publishes the current state vector; the controller subscribes, computes the control input, and publishes it back for the simulator to consume. + +## Repository Structure + +``` +examples/quadrotor_drone/ +├── sim/ +│ ├── dynamics.py # Equations of motion, RK4 integrator +│ └── scene.py # 2D rendering of drone and pendulum +├── control/ +│ └── lqr_controller.py # Linearisation and LQR gain computation +├── communication.py # ZeroMQ publisher/subscriber wrappers +├── main.py # Simulation entry point +└── results/ + ├── figure.png # State and control trajectories + └── demonstrate.mp4 # Recorded stabilisation demo +``` + +## Results + +The system was tested with an initial pendulum deviation of approximately 17 degrees (0.3 rad) from upright. + +![Simulation results](examples/quadrotor_drone/results/figure.png) + +The pendulum angle converges to zero within approximately 4 seconds, following a single overshoot transient. The drone returns to its original hover position after the transient settles, and the control inputs converge to the steady-state hover thrust. + +**Demonstration video:** [examples/quadrotor_drone/results/demonstrate.mp4](examples/quadrotor_drone/results/demonstrate.mp4) + +## Running the Simulation + +```bash +pip install numpy matplotlib scipy pyzmq pytest +python -m examples.quadrotor_drone.main +``` + +## Running Tests + +```bash +nox +``` + +Tests cover the dynamics function output, RK4 integration step, LQR gain matrix dimensions, and closed-loop stability. + +## Team + +| Name | ISU | Role | Contribution | +|---|---|---|---| +| Xiang Zhang | 508513 | Team Lead | System dynamics modelling, scene rendering, project integration, pull request management | +| Chunhong Yuan | 521031 | Developer | LQR controller design and numerical linearisation | +| Zulmi Judha Fakral | 503252 | Tester | ZeroMQ communication layer, unit tests, CI pipeline verification | + +## References + +- Ticket specification: [rp-itmo/simulator#45](https://github.com/rp-itmo/simulator/issues/45) +- Reference implementation pattern: [pets-tech/mysegway_mujoco](https://github.com/pets-tech/mysegway_mujoco) From e2d024bf3f39c2df41269422fd4bdfa324a6aa46 Mon Sep 17 00:00:00 2001 From: zhangx1ang03620 Date: Fri, 19 Jun 2026 15:23:49 +0300 Subject: [PATCH 17/17] Update README.md --- README.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 459d7c9..69c7a9c 100644 --- a/README.md +++ b/README.md @@ -62,7 +62,9 @@ The system was tested with an initial pendulum deviation of approximately 17 deg The pendulum angle converges to zero within approximately 4 seconds, following a single overshoot transient. The drone returns to its original hover position after the transient settles, and the control inputs converge to the steady-state hover thrust. -**Demonstration video:** [examples/quadrotor_drone/results/demonstrate.mp4](examples/quadrotor_drone/results/demonstrate.mp4) +**Simulation demo (in-repo):** [examples/quadrotor_drone/results/demonstrate.mp4](examples/quadrotor_drone/results/demonstrate.mp4) + +**Defense presentation video:** [Google Drive Link](https://drive.google.com/file/d/1W1nPJ9DKxFgFF4hnCv4SaLMkGTNO-J_c/view?usp=sharing) ## Running the Simulation