NDLI: Nonsmooth output feedback stabilization of a class of genuinely nonlinear systems in the plane

Content Provider	IEEE Xplore Digital Library
Author	Chunjiang Qian Wei Lin
Copyright Year	1963
Abstract	In this note, we address the problem of output feedback stabilization for a class of planar systems that are inherently nonlinear in the sense that the linearized system at the origin is neither controllable nor observable. Moreover, the uncontrollable modes contain eigenvalues on the right-half plane. By the well-known necessary condition, such planar systems cannot be stabilized, even locally by any smooth output feedback, and hence must be dealt with by nonsmooth output feedback. The main contribution of this work is the development of a non-Lipschitz continuous output feedback design method that leads to a solution to the problem. The proposed output feedback control scheme is not based on the separation principle but rather, relies on the design of a reduced-order nonlinear observer from an earlier paper with an appropriate twist, and the tool of adding a power integrator. A non-Lipschitz continuous output feedback controller is explicitly constructed, achieving global stabilization of the planar systems without imposing the high-order growth conditions required in a previous paper.
Sponsorship	IEEE Control Systems Society
Starting Page	1824
Ending Page	1829
Page Count	6
File Size	335176
File Format	PDF
ISSN	00189286
Volume Number	48
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Output feedback Nonlinear systems Control systems Linear feedback control systems Nonlinear control systems State feedback Eigenvalues and eigenfunctions Design methodology Stability
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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