Fault-tolerant guaranteed cost control for uncertain systems with disturbance rejection

This paper studies the guaranteed cost fault-tolerant control problem of uncertain systems with internal parameter fluctuations, external disturbances, and polynomial faults. First, a dynamic model with polynomial faults and unknown external disturbances is established; observers for state, external disturbance, and fault estimation are designed; and the asymptotic stability of the observer is proved. Second, using the Linear Matrix Inequality (LMI) method, a control strategy was derived that ensures the system’s asymptotic stability while keeping the performance at an acceptable level. Finally, the simulation results demonstrate the effectiveness of the proposed method, which is reflected in suppressing internal parameter fluctuations, external disturbances and faults of the intelligent car assisted steering system, and ensuring that the system achieves the expected dynamic performance and has fault tolerance.