Input and output constraints-based stabilisation of switched nonlinear systems with unstable subsystems and its application |
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Authors: | Chao Chen Qian Liu Jun Zhao |
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Affiliation: | 1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China;3. Aero Engine Corporation of China (AECC) Shenyang Engine Research Institute, Shenyang, 110115, China |
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Abstract: | This paper studies the problem of stabilisation of switched nonlinear systems with output and input constraints. We propose a recursive approach to solve this issue. None of the subsystems are assumed to be stablisable while the switched system is stabilised by dual design of controllers for subsystems and a switching law. When only dealing with bounded input, we provide nested switching controllers using an extended backstepping procedure. If both input and output constraints are taken into consideration, a Barrier Lyapunov Function is employed during operation to construct multiple Lyapunov functions for switched nonlinear system in the backstepping procedure. As a practical example, the control design of an equilibrium manifold expansion model of aero-engine is given to demonstrate the effectiveness of the proposed design method. |
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Keywords: | Switched nonlinear systems nested switching controllers output constraint bounded input |
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