A Dual-loop PID-LQR Collaborative Control Approach for Vibration Suppression in Flexible Aircraft

To address the aeroelastic vibration issues of flexible aircraft with a high aspect ratio, this paper proposes an active vibration suppression strategy that integrates PID-LQR control with particle swarm optimization (PSO). First, a dynamic model is established based on the Timoshenko beam theory. Next, a PID-LQR combined controller is designed, and the PSO algorithm is used to optimize the control parameters and the layout positions of the piezoelectric actuators. Finally, Simulink simulations demonstrate that compared to passive control, this strategy reduces the time required for angle of attack and pitch angle adjustments by approximately $70 \%$ and improves the decay rate of elastic vibration energy by $74 \%$. Therefore, it can be concluded that the active control system can effectively suppress vibrations.