Elapsed-Time-Dependent Output Feedback Control of Semi-Markov Jump Linear Systems

This paper is concerned with the problem of the static output-feedback control for a class of discrete-time semi-Markov jump linear systems. Through an invertible linear transformation, a resulting equivalent closed-loop system can be obtained. A more practical control scheme is applied in resulting equivalent closed-loop system, which is mode-dependent and elapsed-time-dependent. Consider the mode-dependent and elapsed-time-dependent Lyapunov function under finite sojourn time, a desired stabilizing controller is designed such that the closed-loop system is mean-square stable. Finally, the theoretical results are applied to a practical RLC circuit system to show the effectiveness and applicability of the proposed control strategy.