Predictive control of uncertain systems over networks with redundant link |
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| Institution: | 1. College of Electrical Engineering, Henan University of Technology, Zhengzhou 450052, China;2. School of Automation, Beijing Institute of Technology, Beijing 100081, China;1. School of Chemical and Environmental Engineering, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;2. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;1. School of Science, Chongqing University of Technology, Chongqing 400054, PR China;2. School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, PR China;3. School of Science, Hunan Institute of Technology, Hengyang 421002, PR China;1. Collegee of Science, Hebei North University, Zhangjiakou, 075000, PR China;2. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China;1. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China;1. Departamento de Automação e Sistemas, Universidade Federal de Santa Catarina, Florianópolis, Brazil;2. Université Grenoble Alpes, CNRS, Grenoble INP (Institute of Engineering, Univ. Grenoble Alpes), GIPSA-Lab, Grenoble 38000, France;3. Université de Lorraine, CNRS, CRAN, Nancy F-54000, France |
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| Abstract: | Networked systems using redundant channels to transmit data can effectively reduce the probability of data loss and improve system reliability and control margin. However, the structural complexity and economic cost of the system are also increased. To balance the redundancy and feasibility, the ratio of attraction domain to packet loss rate is defined as a balanced feasibility index. In this paper, single-channel packet loss is considered as Bernoulli distribution and a bounded packet loss network system control model is constructed as the arbitrary bounded packet loss control problem for redundant channel transmission network system. Therefore, the robust conditions of the closed-loop system and the constraints of the input and state are established under the framework of robust predictive control to construct the linear matrix inequality (LMI) optimization problem. Finally, to verify the effectiveness of the design method proposed in this paper, the discrete time-varying linear system and the main steam control system with redundant channels are used as study cases. |
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