NDLI: Partial pole placement with minimum norm controller

Content Provider	IEEE Xplore Digital Library
Author	Datta, S. Chaudhuri, B. Chakraborty, D.
Copyright Year	2010
Description	Author affiliation: Department of Electrical Engineering, Indian Institute of Technology Bombay, India (Datta, S.; Chakraborty, D.) \|\| Department of Electronics and Electrical Engineering, Imperial College, London, UK (Chaudhuri, B.)
Abstract	The problem of placing an arbitrary subset (m) of the (n) closed loop eigenvalues of a $n^{th}$ order continuous time single input linear time invariant(LTI) system, using full state feedback, is considered. The required locations of the remaining (n − m) closed loop eigenvalues are not precisely specified. However, they are required to be placed anywhere inside a pre-defined region in the complex plane. The resulting non-uniqueness is utilized to minimize the controller effort through optimization of the feedback gain vector norm. Using a variant of the boundary crossing theorem, the region constraint on the unspecified (n−m) poles is translated into a quadratic constraint on the characteristic polynomial coefficients. The resulting quadratically constrained quadratic program can be approximated by a quadratic program with linear constraints. The proposed theory is demonstrated for power oscillation damping controller design, where the eigenvalues corresponding to poorly damped electro-mechanical modes are critical for performance and hence are specified precisely by the designer, whereas the remaining eigenvalues are non-critical and need not be specified precisely. Acceptable closed loop pole placement is achieved for this example along with a 51% reduction in controller norm.
Starting Page	5001
Ending Page	5006
File Size	167685
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717194
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Eigenvalues and eigenfunctions Mathematical model Numerical stability Damping Optimization
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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