Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements. (8th December 2015)

• Record Type: Journal Article
• Authors: Shen, Yanjun; Zhang, Daoyuan; Xia, Xiaohua
• Is Part Of: International journal of robust and nonlinear control. Volume 26:Number 14(2016)
• Page Start: 3075
• Page End: 3087
• Publication Date: 2015-12-08
• Subjects: nonlinear systems -- output feedback stabilization -- hybrid systems -- sampled‐data -- delayed measurements; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3491
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper addresses the problem of output feedback stabilization for nonlinear systems with sampled and delayed output measurements. Firstly, sufficient conditions are proposed to ensure that a class of hybrid systems are globally exponentially stable. Then, based on the sufficient conditions and a dedicated construction continuous observer, an output feedback control law is presented to globally exponentially stabilize the nonlinear systems. The output feedback stabilizer is continuous and hybrid, and can be derived without discretization. The maximum allowable sampling period and the maximum delay are also given. At last, a numerical example is provided to illustrate the design methods. Copyright © 2015 John Wiley & Sons, Ltd.