L2-L∞ Control for Delayed Singular Markov Switch System with Nonlinear Actuator Faults

This paper considers the L-2-L-infinity feedback control problem for the singular Markov jump systems (SMJSs) under nonlinear actuator fault with both state and input time-varying delays. The considered singular system is presented as a Markov jump singular system that gives a more realistic presentation for various nonlinear dynamical systems than conventional state-space representation. A reliable controller is designed for a practical actuator fault model to guarantee the system's stochastic stability system with L-2 - L-infinity performance level. An associated Lyapunov-Krasovskii functional with double integral terms is formulated, for effective utilization of the communication channel. Moreover, the system's performance and the reciprocally convex technique is utilized to establish the stability of delay-dependent criterion in the form of linear matrix inequalities. An example of the truck-trailer application validates the effectiveness of the proposed algorithms.