NDLI: Robust Linear Quadratic Designs with Respect to Parameter Uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Douglas, Joel Athans, Michael
Copyright Year	1992
Description	Author affiliation: Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139 (Douglas, Joel; Athans, Michael)
Abstract	We derive a linear quadratic regulator which is robust to parametric uncertainty, by using the overbounding method of Petersen and Hollot. The resulting controller is determined from the solution of a single modified Riccati equation. We show that when applied to a structural system, the controller gains add robustness by minimizing the potential energy of uncertain stiffness elements, and minimizing the rate of dissipation of energy through uncertain damping elements. We are also considering a worst-case disturbance in the direction of the uncertainty. Finally, we prove that we have increased performance robustness with the robust LQR when compared to a mismatched LQR design where we design the controller on the nominal system, but apply it to the actual uncertain system.
Starting Page	2905
Ending Page	2910
File Size	474814
Page Count	6
File Format	PDF
ISBN	0780302109
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-06-24
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robustness Uncertain systems Uncertainty Control systems Robust control Riccati equations Regulators Damping Control design Open loop systems
Content Type	Text
Resource Type	Article

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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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