Robust H∞ control for nonhomogeneous Markovian jump systems subject to quantized feedback and probabilistic measurements

The present paper considers the issue of robust H∞ control for nonhomogeneous Markovian jump systems (NMJSs) subject to quantized feedback and probabilistic measurements. The time-varying property of the transition probability (TP) is modeled by polytope. The quantized control law, which makes full use of the information of communication limitation of channel resources, is developed. The probabilistic measurements are utilized to model the unideal information transmission. A novel sufficient condition is achieved in the form of linear matrix inequalities (LMIs). Finally, numerical examples are adopted to demonstrate the feasibility and effectiveness of the presented theoretical results.