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|Title:||Symbolic realization of asymptotic time-scale and eigenstructure assignment design method in multivariable control|
|Citation:||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|
|Appears in Collections:||Staff Publications|
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