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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)
Besheer, A.H. ; Mounoufia Univ., Sadat City ; Emara, H.M. ; Aziz, M.M.A.

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:
Systems, Man and Cybernetics, 2006. SMC '06. IEEE International Conference on  (Volume:4 )

Date of Conference: 8-11 Oct. 2006

Page(s):
3103 - 3108
E-ISBN :
1-4244-0100-3
Print ISBN:
1-4244-0099-6
INSPEC Accession Number:
9790872
Conference Location :
Taipei
Digital Object Identifier :
10.1109/ICSMC.2006.384592
Product Type:
Conference Publications

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