NDLI: Multi criteria controller design for uncertain MIMO systems using global non-convex optimization

Content Provider	IEEE Xplore Digital Library
Author	Fransson, C.M. Lennartson, B. Wik, T. Holmstrom, K.
Copyright Year	2001
Description	Author affiliation: Dept. of Signals & Syst., Chalmers Univ. of Technol., Goteborg, Sweden (Fransson, C.M.)
Abstract	A controller design procedure for MIMO systems with explicit plant uncertainties is suggested. In the proposed method, the closed loop analysis is integrated in the controller synthesis by an outer optimization loop that optimizes the low frequency performance of the closed loop system subject to additional performance and robustness criteria constrained by specifications. Modifications of the specifications then clearly shows the trade off between performance and robustness in different frequency regions. The controller synthesis is based on PID weighted H/sub /spl infin// loop shaping where the structured singular value (/spl mu/) is used in the optimization to guarantee that the performance specifications are met in spite of the uncertainties. The optimization problems are costly, non-convex and ill-conditioned and we use a combination of new global and standard local optimization algorithms available in the TOMLAB optimization environment to solve the problem. The method, which does not rely on a good initial guess and converges robustly in finite time, is applied to a 2/spl times/2 model of a distillation column and the example shows how a slight modification of specifications on the sensitivity function and control activity may give large improvements in the load disturbance rejection.
Sponsorship	IEEE Control Syst. Soc
Starting Page	3976
Ending Page	3981
File Size	463727
Page Count	6
File Format	PDF
ISBN	0780370619
DOI	10.1109/CDC.2001.980506
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-12-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems MIMO Uncertainty Control system synthesis Constraint optimization Robust control Performance analysis Frequency synthesizers Closed loop systems Robustness
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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