Non-fragile controller design for discrete descriptor systems

This paper is concerned with the design problem of non-fragile controller for discrete descriptor systems. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback con...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2009-11, Vol.346 (9), p.914-922
Main Authors: Wo, Songlin, Zou, Yun, Chen, Qingwei, Xu, Shengyuan
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Controller gain variation
Discrete descriptor systems
Exact sciences and technology
Modelling and identification
Non-fragile control
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Summary:This paper is concerned with the design problem of non-fragile controller for discrete descriptor systems. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback controller with additive uncertainty and multiplicative uncertainty are obtained in terms of a set of matrix inequalities, respectively. With these conditions, the problems of non-fragile control for discrete descriptor systems are solved. Explicit expressions of desired non-fragile state feedback controllers are also given, and no matrix decomposition is required. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2009.07.008