Switching control approach for parametric stabilization of nonlinear systems

Ning Chen; Yutian Liu; Bo Liu; Yuqian Guo; Guisheng Zhai

doi:10.1109/CCDC.2012.6244227

Switching control approach for parametric stabilization of nonlinear systems

Ning Chen, Yutian Liu, Bo Liu, Yuqian Guo, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012
Pages	1411-1415
Number of pages	5
DOIs	https://doi.org/10.1109/CCDC.2012.6244227
Publication status	Published - 2012 Oct 1
Event	2012 24th Chinese Control and Decision Conference, CCDC 2012 - Taiyuan, China Duration: 2012 May 23 → 2012 May 25

Publication series

Name	Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012

Conference

Conference	2012 24th Chinese Control and Decision Conference, CCDC 2012
Country/Territory	China
City	Taiyuan
Period	12/5/23 → 12/5/25

ASJC Scopus subject areas

Information Systems and Management
Control and Systems Engineering

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10.1109/CCDC.2012.6244227

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Switching control approach for parametric stabilization of nonlinear systems. / Chen, Ning; Liu, Yutian; Liu, Bo et al.

Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012. 2012. p. 1411-1415 6244227 (Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chen, N, Liu, Y, Liu, B, Guo, Y & Zhai, G 2012, Switching control approach for parametric stabilization of nonlinear systems. in Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012., 6244227, Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012, pp. 1411-1415, 2012 24th Chinese Control and Decision Conference, CCDC 2012, Taiyuan, China, 12/5/23. https://doi.org/10.1109/CCDC.2012.6244227

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title = "Switching control approach for parametric stabilization of nonlinear systems",

abstract = "The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.",

author = "Ning Chen and Yutian Liu and Bo Liu and Yuqian Guo and Guisheng Zhai",

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T1 - Switching control approach for parametric stabilization of nonlinear systems

AU - Chen, Ning

AU - Liu, Yutian

AU - Liu, Bo

AU - Guo, Yuqian

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N2 - The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.

AB - The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.

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ER -

Switching control approach for parametric stabilization of nonlinear systems

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