Analysis and synthesis of reliable flight control systems via parameter-dependent Lyapunov functions

A reliable tracking control scheme is developed to tolerate faults which result in changes in system dynamics, such as wing/control surface impairment faults and actuator-stuck faults of aircraft. New analysis and synthesis methods are developed to reduce conservativeness of existing methods by introducing parameter-dependent Lyapunov functions and slack variables. The design method based on multi-model and multi-objective optimization guarantees closed-loop system stability and optimized tracking performance of the system in normal operation, while maintaining a certain level of tracking performance when faults occur. A case study of actuator-stuck faults for a fighter aircraft verifies the effectiveness of the method.