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An LMI Approach to Mixed H22/H∞ Model Following Based Fuzzy Control for Nonlinear Dynamic System

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3 Author(s)
A. H. Besheer ; Desert Environment Research Institute, Mounoufia University, Sadat City, Sixth Zone, Egypt. e-mail: ahtawfeek@yahoo.com ; H. M. Emara ; M. M. Abdel Aziz

This paper presents a fuzzy based mixed H2/Hinfin control for model following applications in nonlinear dynamic systems. Using parallel distributed compensation techniques, a fuzzy controller is developed to achieve suboptimal H2 control performance with a guaranteed Hinfin model reference tracking performance. An optimization problem -subjected to two bilinear matrix inequality constraints-is formulated as the outcome of the mixed H2/Hinfin model following fuzzy based control. The resulting BMIs, are transformed into pure LMI programs for which efficient optimization techniques are available. Finally, a simulation example is introduced to illustrate the validity and applicability of the given approach.

Published in:

2006 IEEE International Conference on Systems, Man and Cybernetics  (Volume:4 )

Date of Conference:

8-11 Oct. 2006