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Adaptive output feedback control of large-scale nonlinear time-delay systems with uncertain output equations
Institution:1. School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;2. Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, University of Electronic and Technology of China, Chengdu 611731, China;3. Department of Computer Science and Technology, Faculty of Science and Engineering, University of Hull, HU6 7RX, UK;1. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, Shanghai, China;2. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210023, Jiangsu, China;3. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, Hunan, China;4. Key Laboratory of Control and Optimization of Complex Systems, Hunan Normal University, College of Hunan Province, Changsha 410081, China;1. Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China;2. Department of Electrical and Electronic Engineering, Shiraz University of Technology, Modarres Blvd., P.O. Box: 71555-313, Shiraz, Iran;3. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;4. School of Information and Communication Engineering, Hainan University, Haikou 570228, Hainan, China;1. Department of Electronics and Communications Engineering, De La Salle University, 2401 Taft Ave., Manila, 0922, Philippines;2. Electronics Engineering Department, University of Santo Tomas, Espana Blvd., Sampaloc, Manila,1008, Philippines;3. Tokyo City University, 1-28-1 Tamazutsumi, Setagaya, Tokyo, 158-8557, Japan;1. College of Automation, Chongqing University, Chongqing, 400044, China;2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China
Abstract:For a class of large-scale nonlinear time-delay systems with uncertain output equations, the problem of global state asymptotic regulation is addressed by output feedback. The class of systems under consideration are subject to feedforward growth conditions with unknown growth rate and time delays in inputs and outputs. To deal with the system uncertainties and the unknown delays, a novel low-gain observer with adaptive gain is firstly proposed; next, an adaptive output feedback delay-free controller is constructed by combining Lyapunov-Krasovskii functional with backstepping algorithm. Compared with the existing results, the controllers proposed are capable of handling both the uncertain output functions and the unknown time delays in inputs and outputs. With the help of dynamic scaling technique, it is shown that the closed-loop states converge asymptotically to zero, while the adaptive gain is bounded globally. Finally, the effectiveness of our control schemes are illustrated by three examples.
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