Time-Elapsed-Reliant Observer-Based Control of Semi-Markov Jump Linear Systems With Bilaterally Bounded Sojourn Time

This brief focuses on the observer-based output-feedback (OBOF) control of discrete-time semi-Markov jump linear systems (SMJLSs) with bilateral bounds of sojourn time. To lessen the conservatism in OBOF controller design, we develop a decoupling technique that facilitates the simultaneous design of the time-elapsed-reliant observer and controller, which also alleviates the computational burden. Following this approach, mean-square stability analysis and OBOF control synthesis are implemented for SMJLSs by resorting to semi-Markov kernel within an equivalent closed-loop augmented system. The theoretical results are validated through an electromagnetic oscillation circuit to elucidate the efficacy and practical utility of the proposed control methodology.