Design of LPV Control System Based on Intelligent Optimization

Abstract

Aiming at the flight control system with typical nonlinear time-varying characteristics, a design method of Linear Parameter Varying (LPV) control system based on intelligent optimization is proposed. Through the intelligent optimization method, a constant PID robust controller is sought to control the slowly varying time-varying system model with the largest possible operating range, which makes the system robust with both global stability. Firstly, based on the kinematics modeling of the aircraft, the LPV description is carried out. Then the PID controller is designed for the three channels of the aircraft, and the parameters of the PID controller are optimized by the fireworks algorithm. Finally, the stability of the system is proved by Kharitonov theorem. The performance robustness of the system was verified by applying random variation within ±10% to the static gain of the system with the original controller parameters unchanged. Compared with the traditional gain scheduling control (GSC) method, this method adopted the idea of intelligent optimization, used a constant PID robust controller to control the time-varying system model, the design process is simple. Secondly, the global stability can be proved. On the basis of ensuring the global stability, the system has both performance robustness. The simulation results show the effectiveness of the design method.