Observer‐based Reliable Control for Discrete Time Systems: An Average Dwell Time Approach |
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Authors: | Dongsheng Du Bin Jiang Peng Shi Zehui Mao |
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Affiliation: | 1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, , Nanjing, 210016 Jiangsu, China;2. School of Science, Huaihai Institute of Technology, , Lianyungang, 222005 Jiangsu, China;3. Department of Computing and Mathematical Sciences, University of Glamorgan, , Pontypridd, CF37 1DL UK;4. School of Engineering and Science, Victoria University, , Melbourne, 8001 Vic Australia;5. School of Mathematics and Statistics, University of South Australia, , 5095 Australia |
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Abstract: | This paper deals with the problem of reliable control for discrete time systems with actuator failures. The actuator is assumed to fail occasionally and can recover over a time interval. During the time of suffering failures, the considered closed‐loop system is assumed unstable. Using an average dwell time method and under the condition that the activation time ratio between the system without actuator failures and the system with actuator failures is not less than a specified constant, an observer‐based feedback controller is developed in terms of linear matrix inequalities such that the resulting closed‐loop system is exponentially stable. An example is included to demonstrate the effectiveness of the proposed approach. |
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Keywords: | Average dwell time failure linear matrix inequality (LMI) observer |
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