Distributed formation control of double-integrator fractional-order multi-agent systems with relative damping and nonuniform time-delays |
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| Institution: | 1. School of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, PR China;2. School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, PR China;1. Electrical Engineering Department, University of Bonab, Bonab, Iran;2. Bogazici University, Istanbul, Turkey & University of Science and Technology Beijing, China;1. School of Information and Electrical Engineering, Ludong University, Yantai 264025, China;2. School of Control Engineering, Beihang University, Beijing 100191, China;1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China;2. School of Mathematics and Statistics, University of Western Australia, Nedlands, Perth, WA 6009, Australia;3. Mineral Resources, CSIRO, Kensington, Perth, WA 6151, Australia;1. School of Automation Science and Electrical Engineering, Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing 100191, PR China;2. Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, PR China;3. Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191, PR China;4. Beijing Institute of Electronic System Engineering, Beijing 100854, PR China;1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;2. Intelligent Control Laboratory, College of Engineering, Peking University, Beijing 100871, China;3. College of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China |
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| Abstract: | In this paper, distributed formation control problems are studied for double-integrator fractional-order multi-agent systems (DIFOMASs) with relative damping and nonuniform time-delays. The required state deviations of a group of multi-agent systems are achieved through a local state information interaction, which means that this group of multi-agent systems achieves formation control. In the context of this paper, the dynamic model is first established and the formation control protocol is designed for distributed formation control of DIFOMASs with relative damping under symmetric time-delays and asymmetric time-delays. Then, some sufficient conditions for achieving distributed formation control of DIFOMASs are acquired with the help of graph theory, matrix theory, stability theory and frequency-domain theory. In the end, two simulation examples are performed to verify the efficacy of our proposed method. |
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