JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (3): 49-56.

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Robust memory state feedback non-fragile H∞ control of an uncertain neutral stochastic time-delay systems

ZHOU Li-na1, LIU Xiao-hua2   

  1. 1. Mathematics ＆ Information Science College, Shandong Institute of Business and Technology, Yantai 264005, China;
    2. School of Mathematics and Information, Ludong University, Yantai 264025, China
  • Received:2012-09-13 Online:2013-06-20 Published:2012-09-13

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Abstract:

The problem of robust and non-fragile stabilization and robust non-fragile H∞ control for a class of neutral stochastic time-delay systems with normbounded parameter uncertainties was studied. The sufficient conditions  ensuring the closedloop system meansquare asymptotically stable were established With the additive and multiplicative gain uncertainty in the controller, based on the Lyapunov functional, Ito formula and Schur theory. Furthermore, the sufficient conditions were obtained for the solvability of robust non-fragile H∞ control of the uncertain system. The memory state feedback non-fragile H∞ controllers of the stochastic neutral delay system were designed by solving linear matrix inequality. The numerical example was provided to illustrate the effectiveness of the proposed design method.

Key words: neutral stochastic delay systems, non-fragile control, delay-dependent, H&infin, control, linear matrix inequality

CLC Number: 

  • TP13
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