H∞ tracking control for a class of asynchronous switched nonlinear systems with uncertain input delay
| Autor: | Amir Rikhtehgar Ghiasi, Saeed Pezeshki, Sehraneh Ghaemi, Mohammad Ali Badamchizadeh |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Computer Networks and Communications Computer science Applied Mathematics 02 engineering and technology State (functional analysis) Stability (probability) Upper and lower bounds Nonlinear system Dwell time 020901 industrial engineering & automation Exponential stability Control and Systems Engineering Asynchronous communication Control theory Signal Processing 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing |
| Zdroj: | Journal of the Franklin Institute. 356:5927-5943 |
| ISSN: | 0016-0032 |
| DOI: | 10.1016/j.jfranklin.2019.02.038 |
| Popis: | This paper studies the problems of stability and H∞ model reference tracking performance for a class of asynchronous switched nonlinear systems with uncertain input delay. First, it is assumed switched controller and corresponding piecewise Lyapunov function are unknown but the derivative of piecewise Lyapunov function has a condition; this condition implies that the nominal system (system without input delay and disturbance) is exponentially stable by any switched controller which satisfies this condition. With this assumption, a proper Lyapunov–Krasovskii functional is constructed. By employing this new functional and average dwell time technique, the delay-dependent input-to-state stability criteria are derived under a certain delay bound; in addition, a mechanism which finds the upper bound of input delay is proposed. Finally, a kind of state feedback control law which fulfils condition of aforesaid piecewise Lyapunov function is introduced to guarantee the input-to-state stability and H∞ model reference tracking performance. Simulation examples are presented to demonstrate the efficacy of results. |
| Databáze: | OpenAIRE |
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