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{cal L}_{2} {cal L}_{\infty } Control of Nonlinear Fuzzy ItÔ Stochastic Delay Systems via Dynamic Output Feedback

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2 Author(s)
Ligang Wu ; Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin ; Wei Xing Zheng

This paper addresses the L 2- L infin dynamic output feedback (DOF) control problem for a class of nonlinear fuzzy Ito stochastic systems with time-varying delay. The focus is placed upon the design of a fuzzy DOF controller guaranteeing a prescribed noise attenuation level in an L 2-L infin sense. By using the slack matrix approach, a delay-dependent sufficient condition is derived to assure the mean-square asymptotic stability with an L 2-L infin performance for the closed-loop system. The corresponding solvability condition for a desired L 2-L infin DOF controller is established. Since these obtained conditions are not all expressed in terms of linear matrix inequality (LMI), the cone complementary linearization method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be easily solved numerically. Finally, numerical results are presented to demonstrate the usefulness of the proposed theory.

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Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on  (Volume:39 ,  Issue: 5 )