Asynchronous dissipative control design for semi-Markovian jump systems with uncertain probability distribution functions of sojourn-time

Ngoc Hoai An Nguyen and Sung Hyun Kim

Applied Mathematics and Computation, 2021, vol. 397, issue C

Abstract: This paper is concerned with the problem of asynchronous mode-dependent dissipative control for continuous-time semi-Markovian jump systems (S-MJSs), where the probability distribution functions of sojourn-time are established in a generic form to cover uncertainties that occur due to experimental limitations and errors. Further, based on a control-mode-dependent Lyapunov function, this paper proposes a robust control design method developed such that 1) the control system performance can be further improved compared to using system-mode-dependent Lyapunov functions, 2) the block size of stabilization conditions can be reduced, and 3) the non-convex terms combined with either positive or negative transition rates can be explicitly addressed. Finally, three illustrative examples are given to show the effectiveness of the proposed method.

Keywords: Semi-Markovian jump systems; Asynchronous control; Uncertain probability model of sojourn-time; Dissipativity performance (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:397:y:2021:i:c:s0096300320308742

DOI: 10.1016/j.amc.2020.125921

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