Parameter-dependent H∞ control for time varying delay polytopic systems

This paper addresses the robust stabilization and <i>H</i>_∞control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust <i>H</i>_∞ 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 <i>H</i>_∞ control are established in terms of linear matrix inequalities.