Parameter-dependent H∞ control for time varying delay polytopic systems
Phat, V.N., Ha, Q.P. and Trinh, Hieu 2010, Parameter-dependent H∞ control for time varying delay polytopic systems, Journal of optimization theory and applications, vol. 147, no. 1, pp. 58-70.
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Parameter-dependent H∞ control for time varying delay polytopic systems
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Parameter-dependent H∞ control for time varying delay polytopic systems
This paper addresses the robust stabilization and H∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H∞ control are established in terms of linear matrix inequalities.