Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207170600726576
Title: Symbolic realization of asymptotic time-scale and eigenstructure assignment design method in multivariable control
Authors: Liu, X.
Lin, Z.
Chen, B. 
Issue Date: 1-Nov-2006
Source: Liu, X., Lin, Z., Chen, B. (2006-11-01). Symbolic realization of asymptotic time-scale and eigenstructure assignment design method in multivariable control. International Journal of Control 79 (11) : 1471-1484. ScholarBank@NUS Repository. https://doi.org/10.1080/00207170600726576
Abstract: This paper reports on a symbolic realization of the asymptotic time-scale and eigenstructure assignment (ATEA) state feedback design technique for multivariable control. The resulting state feedback laws are parameterized in a scalar . Under these state feedback laws, the closed-loop system possesses a pre-specified time-scale and its eigenstructure approaches a pre-specified one, as the value of the parameter approaches zero. By appropriately specifying the time-scale and the eigenstructure, the feedback laws can be obtained to solve various control problems, such as the H 2 and H ∞ suboptimal control, and almost disturbance decoupling problems. We present, in this paper, the software implementation of the ATEA design algorithm using the MATLAB symbolic programming technique. Our m-functions are capable of returning a result, which is explicitly expressed in terms of a symbolic variable epsilon, which represents . The controller design for a piezoelectric bimorph actuator is used to illustrate how the symbolic realization works.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/57573
ISSN: 00207179
DOI: 10.1080/00207170600726576
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