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Abstract
A type of proportional multiple-integral observers is proposed for discrete-time descriptor linear systems. First, some existence conditions of this type of observers are given. Then, a parametric design approach is proposed for proportional multiple-integral observers. Based on a general parametric solution to the generalised Sylvester-observer matrix equation, parameterisations for all the observer gains are given in terms of four parameter matrices. The proposed approach can offer all the degrees of design freedom and has great potential in applications. A numerical example is given to show the design procedure and the effectiveness of the proposed approach.
Acknowledgements
This work was supported by a grant from the Research Grants Council of The Hong Kong Special Administrative Region under project CityU 113708, by the National Natural Science Foundation of China under Grant Nos. 60974044 and 61074111, by the Guangdong Natural Science Foundation under Grant No. 10451805707004154, by the Fundamental Research Funds for the Central Universities under Grant No. HIT.NSRIF.2009137 and by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China under Grant No. 61021002. The authors are very grateful to the anonymous reviewers and the editor for their constructive comments and suggestions which have helped in improving the quality of this article.