Simultaneous semi-global -stabilization and asymptotical stabilization for singular systems subject to input saturation

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• 作者：Lei Zhou^a ; Xiaoqing Xiao^a ; Guoping Lu^b ; ^{gplu@pub.nt.jsinfo.net} ; ^{lu.gp@ntu.edu.cn}
• 关键词：Singular systems ; Input saturation ; Semi-global stabilization ; Low-and-high gain state feedback ; Riccati equation
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：March, 2012
• 卷：61
• 期：3
• 页码：403-411
• 文件大小：310 K

摘要

The simultaneous semi-global -stabilization and asymptotic stabilization in both semi-global and global cases are considered for continuous-time linear singular systems subject to input saturation. Based on the asymptotical property of the parametric generalized algebraic Riccati equations, a low-and-high gain state feedback control law and a scheduling technique are proposed. When applied to the singular system subject to input saturation and external disturbance, the semi-global finite-gain -stabilization and semi-global/global asymptotic stabilization are obtained simultaneously. The obtained results reduce to the existing ones for non-singular linear systems when the linear singular system reduces to a non-singular system. Furthermore, our results also improve the semi-global stabilization results for singular systems with saturation in the absence of the external disturbance.