Archive | 2021
\\mathcal{H}_{\\infty} control for fuzzy markovian jump systems based on sampled-data control method
Abstract
This paper investigates the problems of \\begin{document}$ \\mathcal{H}_{\\infty} $\\end{document} performance analysis and sampled-data control about fuzzy Markovian jump systems. Firstly, in order to make full use of the information of both intervals \\begin{document}$ x(t_{k}) $\\end{document} to \\begin{document}$ x(t) $\\end{document} and \\begin{document}$ x(t) $\\end{document} to \\begin{document}$ x(t_{k+1}) $\\end{document} , we construct the mode-dependent Lyapunov function, which consists of a two-sided closed-loop function. Built on the above Lyapunov function, the stochastically stable conditions with less conservative are given by using linear matrices inequalities (LMIs). Then, a state feedback controller is presented for the studied systems. At last, an example is offered to illustrate the efficiency of our main results.