Robust control synthesis for discrete-time uncertain semi-Markov jump systems

Yueyuan Zhang, Cheng-Chew Lim and Fei Liu

International Journal of Systems Science, 2019, vol. 50, issue 10, 2042-2052

Abstract: This paper studies the control synthesis for uncertain semi-Markov jump systems in a discrete-time domain subjected to external disturbance. The switching between modes is determined by a function of the transition probability and the sojourn-time distribution between two neighbouring modes. Based on the σ-error mean square stability criterion, time-varying controllers are designed to stabilise the system. By constructing a holding time dependent Lyapunov function, time-varying state-feedback controllers are obtained that meet a set of sufficient conditions in the form of linear matrix inequalities. Two examples, including a DC motor system, are presented to show the validity of the proposed control scheme.

Date: 2019
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DOI: 10.1080/00207721.2019.1646349

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