Event-based bipartite consensus of second-order discrete-time multi-agent systems with matrix-weighted signed networks |
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| Institution: | 1. Department of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China;2. School of Science, Nanchang Institute of Technology, Nanchang 330099, China;3. Key Laboratory of Imaging Processing and Intelligence Control, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China;4. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Ministry of Education, School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China;1. Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, U.P. 221005, India;2. Conservatoire National des Arts et Métiers (CNAM), Cedric-Lab, 292 rue St-Martin, 75141 Paris Cedex 03, France;1. School of Macaronic Engineering and Automation, Shanghai University, Shanghai 200444, China;2. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China |
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| Abstract: | This article researches the bipartite consensus for discrete-time second-order multi-agent systems on matrix-weighted signed networks, which can describe the inter-dependencies of multidimensional states among states. So as to save limited communication resources, based on the matrix-weighted combined measurements of the position and velocity states, a matrix-weighted event-triggered control algorithm is designed. With the help of the stability theory, variable transformation and the inequality technique, the bipartite consensus conditions which are based on coupling gains, discrete interval, the parameters in the event-triggered rule and communication topology are obtained. Furthermore, the conditions to avoid the controller updating in each discrete-time are supplied. At last, a simulation example is offered to demonstrate the theoretical results. |
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