Further refinement on controller design for linear systems with input saturation

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• 作者：Do Wan Kim¹ ; ^{dowankim@hanbat.ac.kr}
• 关键词：Saturation ; Linear matrix inequality (LMI) ; Lyapunov ; Stabilization ; Exponential stability ; Local stability
• 刊名：Automatica
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：77
• 期：Complete
• 页码：14-17
• 全文大小：652 K
• 卷排序：77

文摘

This paper addresses on the design problem for a class of continuous-time linear systems under the saturated linear feedbacks. The concerned problem becomes an exponential stabilization one through the further refined treatment on the saturation nonlinearity, including a property of absolute value and the SS-procedure lemma. Then, sufficient linear matrix inequality (LMI) conditions for its local exponential stabilizability are derived in the sense of Lyapunov stability criterion. A numerical example is provided to show the reduced conservatism of the proposed design conditions.