H∞control for a class of distributed parameter systems with leakage delay and Markovian jumping
XuemingQian1,2, BaotongCui2
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 152-160
1School of Internet of Things, Wuxi professional college of science and technology, Wuxi 214028, China
2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China
This paper is concerned with the problem of H∞control for a class of distributed parameter systems with delay and Markovian jumping. The jumping parameters are generated from continue-time discrete-state Markov process, nonlinearities and leakage delay appear in the system states. An H∞ state feedback controller is designed such that the closed-loop system is asymptotically stable in the mean square for the zero disturbance input and also achieves required H∞ performance level. By constructing Lyapunov functional and stochastic analysis, the sufficient conditions of systems is given in terms of linear matrix inequalities. And the criteria derived are dependent on both delay and diffusion operator. Finally, a numerical example is presented to demonstrate the effectiveness of the results proposed