p‐Times differentiable unbounded functions for robust control of uncertain switched nonlinear systems with tracking constraints |
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| Authors: | Ben Niu Xudong Zhao Lixian Zhang Hongyi Li |
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| Affiliation: | 1. College of Mathematics and Physics, Bohai University, Jinzhou, China;2. College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China;3. State Key Laboratory of Urban Water Resources and Environment, Harbin Institute of Technology, Harbin, China;4. Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;5. School of Astronautics, Harbin Institute of Technology, Harbin, China |
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| Abstract: | This paper investigates the problem of robust controller design for output‐constrained and state‐constrained uncertain switched nonlinear systems. By using the idea of p‐times differentiable unbounded functions and the backstepping technique, a constructive method is proposed to design effective controllers such that the output of a class of uncertain switched nonlinear systems in lower triangular form can asymptotically track a constant reference signal without violation of the output tracking error constraint. Furthermore, the explored method is applied to the state‐constrained robust stabilization problem for a class of general uncertain switched nonlinear systems. Finally, a simulation example is provided to demonstrate the effectiveness of the developed results. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | backstepping constraints switched nonlinear systems ‐times differentiable unbounded functions |
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