Numerical computation of the local feedback stabilizing matrix via linear programming

The paper contains an algorithm,for the numerical computation of the local feedback stabilizing matrix via linear programming for a system (A, B/sub d/) consisting of two interconnected subsystems. Following the initial definition of the global system and its two subsystems in the state space, an eq...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1998-08, Vol.43 (8), p.1175-1179
Main Authors: Parisses, C.E., Fessas, P.S.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Controllability
Exact sciences and technology
Interconnected systems
Kernel
Linear programming
Polynomials
State feedback
State-space methods
Vectors
Citations: Items that this one cites
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Summary:The paper contains an algorithm,for the numerical computation of the local feedback stabilizing matrix via linear programming for a system (A, B/sub d/) consisting of two interconnected subsystems. Following the initial definition of the global system and its two subsystems in the state space, an equivalent system defined in the operator domain by an appropriate polynomial matrix description (PMD) is determined. This is based on the intercontrollability matrix D(s) of system (A, B/sub d/) and the determination of its kernel U(s). Applying a suitable transformation to the PMD system matrix M/sub d/(s), and based on linear programming methods, an algorithm with which the coefficients of the feedback stabilizing matrix could be computed is finally proposed.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.704996