\(H_{\infty}\) controller design for asynchronous hybrid systems with multiple delays (Q1792828)
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scientific article; zbMATH DE number 6952912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H_{\infty}\) controller design for asynchronous hybrid systems with multiple delays |
scientific article; zbMATH DE number 6952912 |
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\(H_{\infty}\) controller design for asynchronous hybrid systems with multiple delays (English)
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12 October 2018
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Summary: Solutions for the \(H_{\infty}\) synthesis problems of asynchronous hybrid systems with input-output delays are proposed. The continuous-time lifting approach of sampled-data systems is extended to a hybrid system with multiple delays, and some feasible formulas to calculate the operators of the equivalent discrete-time (DT) system are given. Different from the existing methods derived from symplectic pair theory or by state augmentation, a Lyapunov-Krasovskii functional to solve the synthesis problem is explicitly constructed. The delay-dependent stability conditions we obtained can be described in terms of nonstrict linear matrix inequalities (LMIs), which are much more convenient to be solved by LMI tools.
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