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Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity

Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity
Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity
This paper introduces a new design method using eigenstructure assignment. The differential sensitivity of the eigenvalues of the system is minimized. The method involves minimizing the least-squared error between the achievable and the desired eigenspace to achieve mode decoupling. A global measure of eigenvalue sensitivity for all desired eigenvalues that make the closed-loop system insensitive to perturbations or parameter variations is included in the method. The technique requires the use of a gradient-based algorithm. The method is illustrated by an example, which is intended to show a more flexible approach to eigenstructure assignment.
eignstructure assignment, eigenvalues, robustness, sensitivity
0142-3312
127-138
Jin, H.
193ff969-2cd3-4cf6-bfc2-2bb59eac99bc
McLean, D.
6a7a72e5-16eb-4a98-8f7c-c24441466b40
Jin, H.
193ff969-2cd3-4cf6-bfc2-2bb59eac99bc
McLean, D.
6a7a72e5-16eb-4a98-8f7c-c24441466b40

Jin, H. and McLean, D. (2001) Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity. Transactions of the Institute of Measurement and Control, 23 (2), 127-138.

Record type: Article

Abstract

This paper introduces a new design method using eigenstructure assignment. The differential sensitivity of the eigenvalues of the system is minimized. The method involves minimizing the least-squared error between the achievable and the desired eigenspace to achieve mode decoupling. A global measure of eigenvalue sensitivity for all desired eigenvalues that make the closed-loop system insensitive to perturbations or parameter variations is included in the method. The technique requires the use of a gradient-based algorithm. The method is illustrated by an example, which is intended to show a more flexible approach to eigenstructure assignment.

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More information

Published date: 2001
Keywords: eignstructure assignment, eigenvalues, robustness, sensitivity

Identifiers

Local EPrints ID: 21749
URI: http://eprints.soton.ac.uk/id/eprint/21749
ISSN: 0142-3312
PURE UUID: 7a666c30-b9f4-47ae-bb33-bc28388bb513

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Date deposited: 16 Mar 2006
Last modified: 08 Jan 2022 09:50

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Contributors

Author: H. Jin
Author: D. McLean

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