H ∞ control for nonlinear systems with time-varying delay using matrix-based quadratic convex approach

Abstract

© 2015 C. Emharuethai and P. Niamsup. H ∞ control problem for nonlinear system with time-varying delay is considered by using a set of improved Lyapunov-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 new sufficient conditions for the existence of the H∞ state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.