ROBUST OBSERVER-BASED FINITE-TIME H∞ CONTROL DESIGNS FOR DISCRETE NONLINEAR SYSTEMS WITH TIME-VARYING DELAY

This paper investigates the problem of observer-based finite-time H-infinity control for the uncertain discrete-time systems with nonlinear perturbations and time-varying delay. The Luenberger observer is designed to measure the system state. The observer-based controller is constructed. By constructing an appropriated Lyapunov-.Krasovskii functional, sufficient conditions are derived to ensure the resulting closed-loop system is H-infinity finite-time bounded via observer-based control. The observer-based controller for the finite-time H-infinity control problem is developed. Finally, a numerical example illustrates the efficiency of proposed methods.