Robust H-Infinity Control For Uncertain Delta System With Time Delays And Non-Linear Perturbations Based On Delta Operators Approach
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL(2010)
Abstract
This paper is concerned with the problem of robust control for uncertain delta system with time delays and non-linear perturbations based on delta operators approach. By employing Lyapunov function in delta domain as well as a unified LMI approach, a delay-dependent robust stability criterion is presented. At the same time, the explicit expression of the desired state feedback controller is also given. Furthermore, the criterion can be changed to a traditional discrete result or a continuous one when the sampling period is chosen as 1 or 0. A numerical example illustrates the effectiveness of the method in this paper.
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Key words
robust H-infinity control, time-varying delays, uncertain delta systems, non-linear perturbations, norm-bounded uncertainties
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