An approach of partial control design for system control and synchronization |
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| Authors: | Wuhua Hu Jiang Wang Xiumin Li |
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| Institution: | 1. Department of Electrical Engineering, National Institute of Technology Meghalaya, Shillong, Meghalaya 793003, India;2. Department of Electrical Engineering, National Institute of Technology Silchar, Cachar, Assam 788010 India;1. Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;2. College of Automation, Chongqing University, Chongqing 400044, China;3. School of Economics and Business Administration, Chongqing University, Chongqing 400044, China |
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| Abstract: | In this paper, a general approach of partial control design for system control and synchronization is proposed. It turns control problems into simpler ones by reducing their control variables. This is realized by utilizing the dynamical relations between variables, which are described by the dynamical relation matrix and the dependence–influence matrix. By adopting partial control theory, the presented approach provides a simple and general way to stabilize systems to their partial or whole equilibriums, or to synchronize systems with their partial or whole states. Further, based on this approach, the controllers can be simplified. Two examples of synchronizing chaotic systems are given to illustrate its effectiveness. |
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