Fault-tolerant Synchronization Control for Markovian Switching Complex Dynamical Networks with Stochastic Perturbations and Nonlinearly Time-varying Delayed Interactions
| Autor: | Bao Kan, Qiang Wang, Yilin Fang, Quan Liu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Lyapunov stability
0209 industrial biotechnology Computer science MathematicsofComputing_NUMERICALANALYSIS Fault tolerance 02 engineering and technology 010501 environmental sciences 01 natural sciences Synchronization 020901 industrial engineering & automation Control theory General Earth and Planetary Sciences Control (linguistics) Markovian switching Actuator 0105 earth and related environmental sciences General Environmental Science Network model |
| Zdroj: | Procedia CIRP. 83:61-70 |
| ISSN: | 2212-8271 |
| DOI: | 10.1016/j.procir.2019.05.004 |
| Popis: | In this study, the fault-tolerant exponential synchronization control is researched for the multi-manipulator system which is characterized by the large number of interconnected manipulators, the stochastic perturbations and the nonlinearly time-varying delayed interactions. After abstracting the corresponding mathematical complex dynamical network model from the system, an effective controller is designed with some definitions, assumptions and lemmas. Particularly, based on the linear matrix inequalities (LMIs), Ito’s formula and the Lyapunov stability theory, the controlled network model is proved to be stochastically synchronous under the actuator failure by constructing a switching stochastic Lyapunov-Krasovskii functional and some sufficient conditions for the mean square exponential synchronization are derived. A numerical example is illustrated for the further verifications and conclusions. |
| Databáze: | OpenAIRE |
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