Decentralized partial-variable periodic intermittent control for a class of interconnected fractional-order systems |
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| Institution: | 1. Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650500, China;2. School of Automation, Chongqing University, Chongqing 400030, China;1. Department of Electrical and Computer Engineering, University of Alberta, Edmonton T6G 2W3, Canada;2. Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;1. College of Control Science and Engineering, Bohai University, Jinzhou, Liaoning 121013, China;2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China;1. Vehicle Engineering Institute, Chongqing University of Technology, Chongqing 40054, China;2. Key Laboratory of Advanced Manufacturing Technology for Automobile Parts of Ministry of Education, Chongqing University of Technology, Chongqing 400054, China;3. College of Automation, Chongqing University, Chongqing 40004, China;4. National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | This paper investigates the problems of stability and decentralized control for a class of interconnected fractional-order systems. Firstly, model of the interconnected fractional-order system is established. In the meantime, a decentralized periodic intermittent control technique based on partial variables of the system is developed, and the time cost in the control process and the control cost can be saved by this technique. Secondly, stability criteria by using stability theory of fractional-order systems are derived, respectively. Related results can also be used for estimating regions of stability and applied to practical systems such as the power system, the wireless power transfer(WPT) system and the brushless DC motors (BLDCM) system. Besides, in order to reduce the conservatism of the results, the relevant inequality technique is introduced during the derivation process. At last, illustrative examples are given to demonstrate effectiveness of the obtained results. Compared with existing literatures, simulation results indicate that the conservatism of the results is decreased obviously, and the proposed control scheme can indeed save the time cost and the control cost. |
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