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《Control Theory & Applications》 2003-03
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Delay-dependent robust and non-fragile H∞, control for linear time-delay systems with uncertainties

WANG Wu, YANG Fu-wen (Department of Electrical Engineering,Fuzhou University, Fujian Fuzhou 350002,China)  
The problem of robust and non-fragile H^ control is addressed via state feedback for linear time-delay systems with norm-bounded parameter uncertainties based on a method of linear matrix inequality (LMI). The sufficient condition for the solutions to the problem is presented in terms of one LMI, which depends on the size of delay. Also, through congruence transformations, change of variables and Schur complements, all parameters of the LMI are linear. The solutions can be readily obtained using existing LMI Toolbox without pre-selecting any parameter. A numerical example is provided to demonstrate the validity of the proposed design approach.