Nonfragile finite-time extended dissipative control for a class of uncertain switched neutral systems. (English) Zbl 1380.93089
Summary: This paper is concerned with finite-time extended dissipative analysis and nonfragile control for a class of uncertain switched neutral systems with time delay, and the controller is assumed to have either additive or multiplicative form. By employing the average dwell-time and linear matrix inequality technique, sufficient conditions for finite-time boundedness of the switched neutral system are provided. Then, finite-time extended dissipative performance for the switched neutral system is addressed, where we can solve \(H_{\infty}\), \(L_2 - L_{\infty}\), Passivity, and \((Q, S, R)\)-dissipativity performance in a unified framework based on the concept of extended dissipativity. Furthermore, nonfragile state feedback controllers are proposed to guarantee that the closed-loop system is finite-time bounded with extended dissipative performance. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93B36 | \(H^\infty\)-control |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 34K40 | Neutral functional-differential equations |
| 93C41 | Control/observation systems with incomplete information |
| 93B52 | Feedback control |
Keywords:
finite-time extended dissipative analysis; nonfragile control; uncertain switched neutral systems; average dwell-time; linear matrix inequality technique; finite-time boundedness; state feedback controllersReferences:
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