Dynamic output-feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel

This paper is devoted to the dynamic output-feedback control problem for a class of linear semi-Markov jump systems (SMJSs) in discrete-time domain. A mode-dependent control scheme is employed with an adaptation sense under incomplete semi-Markov kernel, which has been shown to be more practical. By introducing the upper bound of sojourn time for each system mode, numerically testable stabilization criteria are established for discrete-time linear SMJSs via a novel form of Lyapunov function. The adopted Lyapunov matrix depends on the modes and their elapsed time simultaneously. Based on above-mentioned Lyapunov function combined with Projection Lemma, a desired mode-dependent stabilizing controller is designed such that the closed-loop system is mean-square stable. Finally, the theoretical results are applied to a practical example of F-404 aircraft engine system to demonstrate the effectiveness and applicability of the proposed control strategy. (C) 2020 Elsevier Ltd. All rights reserved.