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

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. (C) 2021 The Authors. Published by Elsevier Inc.