Model-free control of Lorenz chaos using an approximate optimal control strategy |
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| Authors: | Shuai Li Yangming Li Bu Liu Timmy Murray |
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| Institution: | 1. Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA;2. Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230009, China;3. Department of Computer Science, University of Massachusetts, Amherst, MA 01003, USA;1. The Department of Electronic Engineering, City University of Hong Kong, Kowloon Tong, KLN, Hong Kong;2. Institute of Technology Management, National Chung Hsing University, Taiwan;3. Imperial College, UK;1. Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD, United States;2. Engelhardt Institute of Molecular Biology, Russian Academy of Sciences, Moscow, Russian Federation |
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| Abstract: | In this paper, we are concerned with model-free control of the Lorenz chaotic system, where only the online input and output are available while the mathematic model of the system is unknown. The problem is formulated from an optimal control perspective and solved using an iterative method. The convergence of the iteration and the stability of the control law are proven in theory. Simulations validate theoretical conclusions and demonstrate the effectiveness of the proposed method. |
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