Variable structure controller design for linear systems with bounded inputs |
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| Authors: | Shengjian Bai Pinhas Ben-Tzvi Qingkun Zhou Xinsheng Huang |
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| Affiliation: | (1) College Automation Science & Engineering, Center for Control and Optimization, South China University of Technology, Guangzhou, 510640, People’s Republic of China;(2) Department of Electrical and Computer Engineering, The National University of Singapore, Singapore, Singapore;(3) Robotics Institue and Institute of Intelligent Systems and Information Technology, University of Electronic Science and Technology of China, Chengdu, People’s Republic of China |
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| Abstract: | This paper studies the design of variable structure systems with saturation inputs. Sliding mode domain, reaching domain, and unescapable reaching domain of linear systems with variable structure are defined and investigated. When the state matrix of the linear system is Hurwitz, the stability of the variable structure systems is proven by using passivity theory. Moreover, variable structure systems with novel nonlinear switching surfaces are proposed for second order systems. Two strategies for designing variable structure control for high order linear systems are also proposed, such as stepby-step variable structure control and moving-surface variable structure control, which were found to guarantee that the reaching condition of the variable structure control is always satisfied. Finally, an illustrative example pertaining to the attitude control of a flexible spacecraft demonstrates the effectiveness of the proposed methods. |
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