Variable structure controller design for linear systems with bounded inputs

被引:0
|
作者
Shengjian Bai
Pinhas Ben-Tzvi
Qingkun Zhou
Xinsheng Huang
机构
[1] National University of Defense Technology,College of Mechatronics Engineering and Automation
[2] The George Washington University,Robotics and Mechatronics Laboratory, School of Engineering and Applied Science
来源
International Journal of Control, Automation and Systems | 2011年 / 9卷
关键词
Bounded inputs; linear systems; nonlinear switching surface; passivity theory; variable structure control;
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摘要
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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