NDLI: Enlarge your region of attraction using high-gain feedback

Content Provider	IEEE Xplore Digital Library
Author	Davidson, D.E. Bortoff, S.A.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. Eng., Toronto Univ., Ont., Canada (Davidson, D.E.; Bortoff, S.A.)
Abstract	We can associate with the pseudo-linearization method of regulation a region of attraction, /spl Uscr//sub 0/, containing the equilibrium manifold of a nonlinear system. This paper discusses the use of high-gain feedback to force system trajectories into /spl Uscr//sub 0/. The control strategy is to switch from the high-gain controller to the pseudolinear controller once the state enters an estimate of /spl Uscr//sub 0/. This controller structure can increase the size of the region of attraction when compared to pseudolinearization alone. Sufficient conditions for the existence of the controller are presented, as is an algorithm for controller construction. The peaking phenomenon, which can arise because of the high gain, is investigated. Finally, the acrobot is presented as an application of the high-gain switching control. Simulations indicate the region of attraction is significantly enlarged, while computational complexity of the overall control law, both in terms of off-line construction and real-time implementation, is reasonable.<>
Starting Page	634
Ending Page	639
File Size	598482
Page Count	6
File Format	PDF
ISBN	0780319680
DOI	10.1109/CDC.1994.410974
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Size control Nonlinear systems Force feedback Switches Control systems Manifolds State estimation Computational modeling Computational complexity Nonlinear control systems
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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