Advanced Control Experiments: From LQR and LQG to Nonlinear Control on a 3-DoF Platform
Move beyond PID control to master modern control for complex MIMO systems like the Acrome 3-DoF Copter. Start with the Linear Quadratic Regulator (LQR) for optimal, deterministic performance. To tackle real-world sensor noise and unmeasured states, transition to Linear Quadratic Gaussian (LQG). LQG intelligently combines LQR with a Kalman Filter, which acts as an optimal observer to provide smooth, estimated system states. Finally, for aggressive, large-angle maneuvers far from equilibrium, explore powerful Nonlinear Control strategies, gaining full control capability from abstract theory to real-time hardware execution.
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