H ∞ Control for Nonlinear Systems with Time-Varying Delay Using Matrix-Based Quadratic Convex Approach

Abstract EN

H ∞ control problem for nonlinear systemwith time-varying delay is considered by using a set of improvedLyapunov-Krasovskii functionals including some integral terms, and a matrix-based on quadratic convex, combined with Wirtinger's inequalities and some useful integral inequality.

H∞ controller is designed via memoryless state feedback control and newsufficient conditions for the existence of the H∞ state feedback for the system are given in terms of linear matrixinequalities (LMIs).

Numerical examples are given to illustrate theeffectiveness of the obtainedresult.