\(H_{\infty}\) control for nonlinear systems with time-varying delay using matrix-based quadratic convex approach (Q1665758)
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scientific article; zbMATH DE number 6926430
| Language | Label | Description | Also known as |
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| English | \(H_{\infty}\) control for nonlinear systems with time-varying delay using matrix-based quadratic convex approach |
scientific article; zbMATH DE number 6926430 |
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\(H_{\infty}\) control for nonlinear systems with time-varying delay using matrix-based quadratic convex approach (English)
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27 August 2018
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Summary: \(H_{\infty}\) 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. \(H_{\infty}\) controller is designed via memoryless state feedback control and new sufficient conditions for the existence of the \(H_{\infty}\) 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.
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