NDLI: An LMI optimization approach for structured linear controllers

Content Provider	IEEE Xplore Digital Library
Author	Jeongheon Han Skelton, R.E.
Copyright Year	2003
Description	Author affiliation: Dept. of Mech. & Aerosp. Eng., California Univ., San Diego, La Jolla, CA, USA (Jeongheon Han; Skelton, R.E.)
Abstract	This paper presents a new algorithm for the design of linear controllers with special structural constraints imposed on the control gain matrix. This so called SLC (structured linear control) problem can be formulated with linear matrix inequalities (LMI's) with a nonconvex equality constraint. This class of problems includes fixed order output feedback control, multi-objective controller design, decentralized controller design, joint plant and controller design, and other interesting control problems. Our approach includes two main contributions. The first is that many design specifications are described by a similar matrix inequality. A new matrix variable is introduced to give more freedom to design the controller. Indeed this new variable helps to find the optimal fixed-order output feedback controller. The second contribution is to propose a linearization algorithm to search for a solution to the nonconvex SLC problems. This has the effect of adding a certain potential function to the nonconvex constraints to make them convex. The convexified matrix inequalities will not bring significant conservatism because they will ultimately go to zero, guaranteeing the feasibility of the original nonconvex problem. Numerical examples demonstrate the performance of the proposed algorithms and provide a comparison with some of the existing methods.
Sponsorship	Honeywell Lab. Xerox Nat. Instruments Math Works
Starting Page	5143
Ending Page	5148
File Size	443824
Page Count	6
File Format	PDF
ISBN	0780379241
ISSN	01912216
DOI	10.1109/CDC.2003.1272453
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-12-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear matrix inequalities Output feedback Linear feedback control systems Optimal control Performance analysis Control systems Laboratories Aerospace engineering Algorithm design and analysis Lyapunov method
Content Type	Text
Resource Type	Article

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