DocumentCode :
1051859
Title :
An algorithm for pole assignment in high order multivariable systems
Author :
Shafai, B. ; Bhattacharyya, S.P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
Volume :
33
Issue :
9
fYear :
1988
fDate :
9/1/1988 12:00:00 AM
Firstpage :
870
Lastpage :
876
Abstract :
An efficient computational method is presented for solving the problem of pole assignment by state feedback in linear multivariable systems with large dimensions. A given multiinput system is first transformed to an upper block Hessenberg form by means of orthogonal state coordinate transformations. The state feedback problem is then reformulated in terms of the Sylvester equation. The transformed system matrices, along with certain assumed block forms for unknown matrices, enable the Sylvester equation to be decomposed and solved effectively. A distinct point of the proposed algorithm is that the solution procedure can be tailored to parallel implementation and is therefore fast. Computational aspects of the algorithm are discussed and numerical examples are provided
Keywords :
linear systems; multivariable control systems; poles and zeros; Sylvester equation; high order multivariable systems; linear systems; multiinput system; orthogonal state coordinate transformations; pole assignment; state feedback; upper block Hessenberg form; Covariance matrix; Data analysis; Equations; MIMO; Matrix decomposition; Random variables; Spectral analysis; State feedback; Statistical analysis; Stochastic processes;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.1320
Filename :
1320
Link To Document :
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