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Semi‐global stabilization via linear sampled‐data output feedback for a class of uncertain nonlinear systems
Authors:Chuanlin Zhang  Ruting Jia  Chunjiang Qian  Shihua Li
Affiliation:1. Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China;2. Department of Electrical Engineering and Computer Science, McNeese State University, Lake Charles, LA 70609, USA;3. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA
Abstract:This paper develops a systematic design scheme to construct a linear sampled‐data output feedback controller that semi‐globally asymptotically stabilizes a class of uncertain systems with both higher‐order and linear growth nonlinearities. To deal with the uncertain coefficients in the systems, a robust state feedback stabilizer and a reduced‐order sampled‐data observer, both in the linear form, are constructed and then integrated together. The semi‐global attractivity and local stability are delicately proved by carefully selecting a scaling gain using the output feedback domination approach and a sampling period sufficiently small to restrain the state growth under a zero‐order‐holder input. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:nonlinear systems  output feedback  sampled‐data control  reduced‐order observer
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