H∞Output Feedback Controls for Singular Markovian Systems

In this brief, the problem of H
_∞
output feedback control for a class of continuous time singular Markovian jump systems with unknown transition rates is addressed, and here the transition rates are assumed to be unknown but have the upper bound and the low bound. By employing a suitable Lyapunov functional in combination with the infinitesimal operator, some simple yet general conditions in terms of linear matrix inequalities (LMIs) are proposed to guarantee that such a class of continuous time singular Markovian jump systems is stochastically admissible, and has a prescribed level of H
_∞
performance. To this end, a typical numerical example and its simulations are implemented by Matlab LMI Toolbox to demonstrate the effectiveness of the proposed control methodology.