Robust pole assignment for linear time-invariant systems using state-derivative feedback

Abstract In this paper, a technique for computing robust controller for multivariable time-invariant linear systems via state-derivative feedback is introduced such that the sensitivity of the closed-loop system eigenvalues to perturbations in the system and gain matrices is minimized. The proposed...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering Journal of systems and control engineering, 2009-03, Vol.223 (2), p.187-199
Main Author: Abdelaziz, T H S
Format: Article
Language:English
Subjects:
Algorithms
Closed loop systems
Computing time
Constrictions
Control systems
Derivation
Eigenvalues
Feedback
Linear systems
Mathematical analysis
Matrices (mathematics)
Mechanical engineering
Multivariable control
Multivariable control systems
Pole placement
Poles
Regression analysis
Robust control
Robustness (mathematics)
Sensitivity
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Summary:Abstract In this paper, a technique for computing robust controller for multivariable time-invariant linear systems via state-derivative feedback is introduced such that the sensitivity of the closed-loop system eigenvalues to perturbations in the system and gain matrices is minimized. The proposed technique can be applied for any controllable system with some restrictions when assigning zero poles. This article focuses on the derivation of feedback gain when the open-loop state matrix is singular. The available degrees of freedom offered by state-derivative feedback for multivariable system are utilized to improve robustness of the closed-loop system. Finally, a computational algorithm and a numerical example are introduced to demonstrate the effectiveness of the proposed technique.
ISSN:0959-6518
2041-3041
DOI:10.1243/09596518JSCE632