Journal article
Stabilization of nonlinear sandwich systems via state feedback—Discrete‐time systems
International journal of robust and nonlinear control, Vol.21(16), pp.1841-1864
11/10/2011
Handle:
https://hdl.handle.net/2376/110121
Abstract
A recent paper (IEEE Trans. Aut. Contr. 2010; 55(9):2156–2160) considered stabilization of a class of continuous‐time nonlinear sandwich systems via state feedback. This paper is a discrete‐time counterpart of it. The class of nonlinear sandwich systems consists of saturation elements sandwiched between linear systems. We focus first on single‐layer sandwich systems, which consist of a single saturation sandwiched between two linear systems. For such systems, we present necessary and sufficient conditions for semi‐global and global stabilization problems by state feedback, and develop design methodologies to achieve the prescribed stabilization. We extend the results to single‐layer sandwich systems subject to additional actuator saturation. Finally, we discuss further extension to general multi‐layer sandwich systems with an arbitrary number of saturations sandwiched between linear systems, both with and without actuator saturation. The design methodologies can be viewed as extensions of classical low‐gain design methodologies developed during the 1990s in the context of stabilizing linear systems subject to actuator saturation. Copyright © 2010 John Wiley & Sons, Ltd.
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Details
- Title
- Stabilization of nonlinear sandwich systems via state feedback—Discrete‐time systems
- Creators
- Xu WangAnton A StoorvogelAli SaberiHåvard Fjær GripPeddapullaiah Sannuti
- Publication Details
- International journal of robust and nonlinear control, Vol.21(16), pp.1841-1864
- Academic Unit
- Electrical Engineering and Computer Science, School of
- Publisher
- John Wiley & Sons, Ltd; Chichester, UK
- Number of pages
- 24
- Identifiers
- 99900547378701842
- Language
- English
- Resource Type
- Journal article