Output feedback guaranteed cost control for uncertain discrete-time systems using linear matrix inequalities

Authors:
L. Yu;F. Gao
Affiliations:
Professor, Department of Automation, Zhejiang University of Technology, Hangzhou, Zhejiang, PRC;Associate Professor, Department of Chemical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Venue:
Journal of Optimization Theory and Applications
Year:
2002

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Abstract

This paper considers the output feedback guaranteed cost controller design problem for uncertain discrete-time systems. The uncertainty is assumed to be of linear fractional form, unstructured, and is allowed to be time-varying. It is proved that the existence of a guaranteed cost controller is equivalent to the feasibility of a certain linear matrix inequality (LMI), and that a full-order output feedback controller can be constructed in terms of the feasible solution to the LMI. Furthermore, a convex optimization problem is introduced for the selection of a suitable controller minimizing a specified cost bound.