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Mode-independent H∞ control of singular Markovian jump systems via switching probability rate design

This paper focuses on the problem of mode-independent H∞ controller for a class of singular Markovian jump systems. The main contribution of this paper is to develop an approach to a mode-independent H∞ controller of singular systems, where the jumping signal is inaccessible and the switching probability rate is designed. A sufficient condition for such a controller is proposed to guarantee the stochastic admissibility of singular Markovian jump systems with an H∞ performance index, which also characterizes the switching probability rete. Based on this, extension to polytopic uncertainty case is obtained. The presented conditions are all given in terms of linear matrix inequalities with equation constraints. A numerical example is used to demonstrate the effectiveness of the proposed method.