Observer-based finite-time control of time-delayed jump systems |
| |
Authors: | Shuping He Fei Liu |
| |
Institution: | Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, PR China Institute of Automation, Jiangnan University, Wuxi, Jiangsu 214122, PR China |
| |
Abstract: | This paper provides the observer-based finite-time control problem of time-delayed Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. The observer-based finite-time H∞ controller via state feedback is proposed to guarantee the stochastic finite-time boundedness and stochastic finite-time stabilization of the resulting closed-loop system for all admissible disturbances and unknown time-delays. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic robust control performance of time-delay jump systems are derived. The control criterion is formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The presented results are extended to time-varying delayed MJSs. Simulation results illustrate the effectiveness of the developed approaches. |
| |
Keywords: | Markov jump systems Finite-time H&infin controller Finite-time boundedness Finite-time stabilization Time-delays Linear matrix inequalities |
本文献已被 ScienceDirect 等数据库收录! |
|