Event-triggered controller design for positive T-S fuzzy systems with random time-delay |
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| Institution: | 1. School of Artificial Intelligence, Shenyang University of Technology, Shenyang, Liaoning, 110870, China;2. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, China;1. National Center for Applied Mathematics in Chongqing, Chongqing Normal University, Chongqing, 401331, PR China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200072, PR China;3. Faculty of Engineering and IT, University of Technology Sydney, NSW 2007, Australia;4. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, PR China;1. Chongqing Key Laboratory of Complex Systems and Bionic Control, Chongqing University of Posts and Telecommunications, Chongqing, China;2. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China;3. Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough LE11 3TU, U.K.;1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Communications and Networks Engineering, Prince Sultan University, Saudi Arabia |
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| Abstract: | This paper is concerned with the design of event-triggered controller for positive Takagi-Sugeno (T-S) fuzzy systems with a random time-delay. The random time-delay is described as a Markov process. A controller switched at different event-triggered instant is proposed. By constructing a new event-triggered instant-dependent linear co-positive Lyapunov function, the design criteria of event-triggered controller is derived to ensure the positivity and stability of the closed-loop system. These criteria can be solved by linear programming (LP) technique. A positive lower bound on the inter-execution time is ensured, which means that there is Zeno-free phenomenon. Finally, the simulation has demonstrated the effectiveness and merit of the proposed results. |
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