Decoupling of square singular systems via proportional state feedback

Necessary and sufficient conditions for the decoupling of a solvable square singular system Ex(t)=Ax(t)+Bu(t) with output y(t)=Dx(t), through an admissible control law of the form u(t)=Kx(t)+Hr(t) where H is a square nonsingular matrix. It has been shown that for a given singular system that satisfi...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 36; no. 1; pp. 95 - 102
Main Author Ailon, A.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.01.1991
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control systems
Control theory. Systems
Controllability
Erbium
Exact sciences and technology
Output feedback
Proportional control
State feedback
Sufficient conditions
Transfer functions
State feedback
Singular system
Decoupling
Necessary and sufficient condition
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Summary:Necessary and sufficient conditions for the decoupling of a solvable square singular system Ex(t)=Ax(t)+Bu(t) with output y(t)=Dx(t), through an admissible control law of the form u(t)=Kx(t)+Hr(t) where H is a square nonsingular matrix. It has been shown that for a given singular system that satisfies these conditions, a propagational state feedback exists for which the system's transfer function is a diagonal, nonsingular, and proper rational matrix. The proofs of the main results are constructive and provide a procedure for computing an appropriate proportional state feedback.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/9.62273