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A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method
Institution:1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., Orlando, USA;2. University of Palermo, Department of Mathematics and Computer Science, Via Archirafi 34, 90123 Palermo, Italy;1. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India;2. Advanced Technological Development Centre, Indian Institute of Technology, Kharagpur 721302, India;1. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicz Avenue 30, 30059 Kraków, Poland;2. Mathematical Institute, Silesian University in Opava, Na Rybníčku 1, 74601 Opava, Czech Republic;3. Subbotin Institute for Geophysics of NAS of Ukraine, Palladin Avenue 32, 03142 Kyiv, Ukraine
Abstract:
Keywords:Duffing oscillator  Lorenz system  Liu system  Lorenz–Stenflo system  Tracking problem  Regulator problem  Differential algebraic equations  Lie-group DAE method  Sliding mode control  Two-stage controller
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