\(H_\infty\) performance analysis for uncertain systems with actuator fault control via relaxed integral inequalities (Q2113787)

Summary: This paper investigates the stability behaviour of uncertain systems with time-varying delays under actuator fault control in the continuous case. The proposed \(H_\infty\) control problem is constructed such that the dynamics of the uncertain system under actuator fault is asymptotically stable. Based on Lyapunov-Krasovskii functional technique and using the relaxed integral inequality, the delay-dependent Stability criterion is established for ensuring the stability behaviour of the addressed time delay uncertain systems with regard to linear matrix inequality (LMI) with prescribed gain matrices. Lastly, two numerical examples with simulations are presented to illustrate the validity of the proposed theoretical results.