Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties |
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| Institution: | 1. Department of Geological Sciences, Faculty of Science, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic;2. Institute of Geology of the Czech Academy of Sciences, v.v.i., Rozvojová 269, 165 00 Prague 6, Czech Republic;3. Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic;4. Department of Geology, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic;1. School of Artificial Intelligence, Hebei University of Technology, Tianjin 300130, China;2. Ministry of Education Engineering Center of Intelligent Rehabilitation and Detection Technology, Hebei University of Technology, Tianjin 300130, China;3. Hebei Key Laboratory of Robot Sensing and Human-Robot Interaction, Tianjin 300130, China;1. University of Carthage, National Institute of Applied Sciences and Technology, Computer Engineering and Mathematics Department, Centre Urbain Nord, BP 676, 1080 Tunis Cedex, Tunisia;2. University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, BP W, 7021 Zarzouna, Bizerta, Tunisia;1. Electrical and Electronic Engineering, Autonomous University of Tamaulipas, Rodhe Campus, Highway Reynosa–San Fernando, Reynosa C.P. 88779, Tamaulipas, Mexico;2. CONACYT Research Fellow, Mexico;3. School of Engineering, Autonomous University of Chihuahua (UACH), Campus II, Circuito Universitario, Chihuahua, C.P. 31100, Chihuahua, Mexico;4. Research Laboratory on Optimal Design, Devices and Advanced Materials -OPTIMA-, Department of Mathematics and Physics, ITESO, Periférico Sur Manuel Gómez Morín 8585 Tlaquepaque C.P. 45604, Jalisco, Mexico |
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| Abstract: | This paper is concerned with the stabilization problem for a class of nonlinear systems. Using second-order sliding mode control approach, a robust control scheme is established to make the states of system to zero or into predictable bounds for matched and unmatched uncertainties, respectively. Meanwhile, the chattering phenomenon is eliminated. A comparative example is given to emphasize the effectiveness and robustness of the proposed method. |
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