Design of resilient reliable control for uncertain periodic piecewise systems with time-varying delay and disturbances
| Autor: | Dhafer Almakhles, S. Harshavarthini, T. Satheesh, Rathinasamy Sakthivel |
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| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer Networks and Communications Computer science Applied Mathematics 02 engineering and technology Positive-definite matrix Division (mathematics) Vibration Piecewise linear function Dwell time 020901 industrial engineering & automation Control and Systems Engineering Control theory Signal Processing 0202 electrical engineering electronic engineering information engineering Piecewise 020201 artificial intelligence & image processing Constant (mathematics) Actuator |
| Zdroj: | Journal of the Franklin Institute. 357:12326-12345 |
| ISSN: | 0016-0032 |
| Popis: | In this paper, the stabilization problem for a class of periodic piecewise linear systems with uncertainties, time-varying delay, actuator faults and disturbances is discussed. Precisely, the resilient reliable control scheme is designed to stabilize the addressed system with satisfactory disturbance attenuation index. Moreover, the concerned system is a kind of periodic system which consists of many subsystems with constant state dynamics. Based on fixed dwell time approach, the addressed system is divided into many piecewise subsystems and activated periodically. Depending on the division of subintervals, the sufficient conditions are derived by constructing a proper Lyapunov–Krasovskii functional with piecewise time-varying positive definite matrices. Further, the periodic time-varying control gain matrices for individual subsystems are obtained via solving the developed constraints. Specifically, the potential and impact of the developed control scheme is examined by presenting two numerical examples including the periodic piecewise vibration systems. |
| Databáze: | OpenAIRE |
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