Optimal pole-placement for linear multi-input controllable systems

This paper presents a new method for the design of linear state-feedback controllers for multiinput systems which results in a desired preselected set of distinct closed-loop eigenvalues and simultaneously optimizes a quadratic performance index. The method is based on a computationally efficient al...

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Bibliographic Details
Published inIEEE transactions on circuits and systems Vol. 34; no. 12; pp. 1602 - 1604
Main Authors Alexandridis, A.T., Galanos, G.D.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1987
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control systems
Control theory. Systems
Damping
Design methodology
Eigenvalues and eigenfunctions
Exact sciences and technology
Feedback
Linear systems
Optimal control
Performance analysis
Riccati equations
Symmetric matrices
Closed loop
State feedback
Linear system
Algebraic equation
System synthesis
Quadratic cost
Riccati equation
Gain
Pole assignment
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Summary:This paper presents a new method for the design of linear state-feedback controllers for multiinput systems which results in a desired preselected set of distinct closed-loop eigenvalues and simultaneously optimizes a quadratic performance index. The method is based on a computationally efficient algorithm, which constructs the feedback gainmatrix by selecting the optimal closed-loop eigenvectors of the system without solving the algebraic matrix Riccati equation.
ISSN:0098-4094
1558-1276
DOI:10.1109/TCS.1987.1086083