H2 control of Markov jump linear systems with unknown transition rates and input quantization

In this paper, H2 state feedback control for a class of continuous-time Markovian jump linear uncertain systems with partly unknown transition rates and input quantization is investigated. The class of Markov jump linear systems under consideration is more general, which covers completely known, boundary known and completely unknown transition rates. The H2 cost index for Markov jump linear systems is firstly introduced, and then by utilizing new matrix inequality condition, sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained for H2 control of Markov jump linear systems, which are less conservativeness than the existing result. Finally, an example is given to verify the validity of the theoretical results.