Global stability analysis for coupled control systems and its application: Practical aspects and novel control |
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| Authors: | Jiayi Liu Shuaihao Jiang Yanbin Qu Xuewei Zhang Huihui Song |
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| Institution: | 1. School of New Energy, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;2. College of Engineering, Texas A&M University-Kingsville, Kingsville, TX 78363, USA;1. School of Information and Software Engineering, University of Electronic Science and Technology of China, China;2. School of Mathematical Science, University of Electronic Science and Technology of China, China;3. School of Information Science and Engineering, Chengdu University, China;1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;2. Science and Technology on Underwater Vehicle Technology, Harbin Engineering University, Harbin 150001, China;3. School of Mechanical Engineering, Jiangsu University of Science and Technology, Jiangsu 212003, China;4. College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314001, China;1. National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing 400067, China;2. School of Automation, Chongqing University, Chongqing, 400044, China;1. Research Center for Intelligent Robotics, School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China;2. National Key Laboratory of Aerospace Flight Dynamics, School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China;3. Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore;4. Institute for Future, Qingdao University, Qingdao 266071, China;1. College of Information Engineering, Nanjing University of Finance & Economics, Nanjing 210023, PR China;2. School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200011, PR China;3. The Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, PR China;1. School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, PR China;2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;3. Promotion China PH.D Program, BMW Brilliance Automotive Ltd., Shenyang, Liaoning 110143, PR China |
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| Abstract: | In this paper, the global stability of coupled control systems (CCSs) is discussed. Assembling the energy of each vertex system with the help of graph theory, a systematic method for constructing a global Lyapunov function of CCSs is proposed. Then, two kinds of stability criteria by Lyapunov-type theorem and coefficient-type theorem with the condition of the system topology are derived. Subsequently, the theoretical results are applied to the microgrid and the criterion of global asymptotical stability of the microgrid is developed. Meanwhile, based on the actual demand of the microgrid, the secondary frequency distributed consistency sliding mode control of the microgrid is proposed using the consensus algorithm. In the presence of a time-varying load, the control can not only quickly stabilize the frequency at the equilibrium point but also dynamically achieve active power sharing. Finally, the simulation of an islanded microgrid is conducted to test the validity and feasibility of our results. |
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