Frequency-Domain Robust Performance Condition for Controller Uncertainty in SISO LTI Systems: A Geometric Approach

Autor: Vahid Raissi Dehkordi, Benoit Boulet
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Journal of Control Science and Engineering, Vol 2009 (2009)
Druh dokumentu: article
ISSN: 1687-5249
1687-5257
DOI: 10.1155/2009/746762
Popis: This paper deals with the robust performance problem of a linear time-invariant control system in the presence of robust controller uncertainty. Assuming that plant uncertainty is modeled as an additive perturbation, a geometrical approach is followed in order to find a necessary and sufficient condition for robust performance in the form of a bound on the magnitude of controller uncertainty. This frequency domain bound is derived by converting the problem into an optimization problem, whose solution is shown to be more time-efficient than a conventional structured singular value calculation. The bound on controller uncertainty can be used in controller order reduction and implementation problems.
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