Robust control of chaos in Lorenz systems subject to mismatch uncertainties |
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| Institution: | 1. College of Automation, Northwestern Polytechnical University, Xi''an,710072, China;2. Department of Management and Engineering, University of Padova, Vicenza, 36100, Italy;1. Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa;2. Departament of Mathematics, University of Yaounde I, Yaounde 812, Cameroon;3. Department of Mathematics, University of Namibia, Private Bag 13301, Windhoek, Namibia |
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| Abstract: | This paper is concerned with robust control for a class of Lorenz systems subject to mismatch uncertainties. It is implemented by using variable structure control. The proposed variable structure controller ensures the occurrence of the sliding mode for the error dynamics. It is guaranteed that under the proposed control law, uncertain Lorenz systems can drive the system state exactly to some specific points or in a predictable neighborhood of arbitrary desired points in the state space even with mismatch uncertainties, which is not addressed in the literature. |
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