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Title: Minimum norm regularization of descriptor systems by mixed output feedback
Authors: Chu, D. 
Mehrmann, V.
Nichols, N.K.
Keywords: Condensed form
Descriptor system
Mixed feedback
Orthogonal transformations
Output feedback
Issue Date: 15-Jul-1999
Source: Chu, D.,Mehrmann, V.,Nichols, N.K. (1999-07-15). Minimum norm regularization of descriptor systems by mixed output feedback. Linear Algebra and Its Applications 296 (1-3) : 39-77. ScholarBank@NUS Repository.
Abstract: We study the regularization problem for linear, constant coefficient descriptor systems Eẋ = Ax + Bu, y1 = Cx, y2 = Γẋ by proportional and derivative mixed output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one and E + BGΓ has a desired rank, i.e., there is a desired number of differential and algebraic equations. To resolve the freedom in the choice of the feedback matrices we then discuss how to obtain the desired regularizing feedback of minimum norm and show that this approach leads to useful results in the sense of robustness only if the rank of E is decreased. Numerical procedures are derived to construct the desired feedback gains. These numerical procedures are based on orthogonal matrix transformations which can be implemented in a numerically stable way. © 1999 Elsevier Science Inc. All rights reserved.
Source Title: Linear Algebra and Its Applications
ISSN: 00243795
Appears in Collections:Staff Publications

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