Observer design for semi-Markov jump systems with incremental quadratic constraints |
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| Authors: | Min Zhang Jun Huang Guangdeng Zong Xudong Zhao Yueyuan Zhang |
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| Institution: | 1. School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215021, China;2. School of Engineering, Qufu Normal University, Rizhao 276826, China;3. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;1. School of Artificial Intelligence, Shenyang University of Technology, Shenyang, China;2. College of Engineering, Qufu Normal University, Rizhao, Shandong, China;1. School of Engineering, Qufu Normal University, Rizhao 276826, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, and School of Mathematics, Southeast University, Nanjing 211189, China;4. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China;5. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China;6. School of Science, Harbin Institute of Technology, Weihai 264209, China;7. School of Mathematical Science, Qufu Normal University, Qufu 273165, China;8. School of Electrical Engineering and Information, Southwest Petroleum University, Chengdu 610500, China;1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong 266520, China;2. School of Information Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China;3. School of Public Administration, Shandong Institute of Business and Technology, Yantai, Shandong, 264005, China;1. Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, Guangdong, 510006, China;2. Department of Automation, University of Science and Technology of China, Hefei, Anhui 230026, China;3. College of Automation Science and Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China;4. College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, China |
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| Abstract: | This paper deals with the observer design problem for semi-Markov jump systems with incremental quadratic constraints. Based on the design objective that the state estimation error is stochastically stable, the sufficient conditions formulated by linear matrix inequalities are presented. To reduce the conservatism of sufficient conditions as well as the computational burden, the relaxation method with slack variable is employed. Finally, a simulation example verifies the effectiveness and superiority of the method studied in this paper. |
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