New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI

The problems of relaxed quadratic stability conditions, fuzzy observer designs and H ∞ controller designs for T-S fuzzy systems have been studied. First new stability conditions are obtained by relaxing the stability conditions derived in previous papers. Secondly, new fuzzy observers based on the r...

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Bibliographic Details
Published in:Automatica (Oxford) 2003-09, Vol.39 (9), p.1571-1582
Main Authors: Xiaodong, Liu, Qingling, Zhang
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Fuzzy observer
H∞ control
Linear matrix inequalities (LMIs)
Miscellaneous
Modelling and identification
Quadratic stability
T-S fuzzy systems
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Summary:The problems of relaxed quadratic stability conditions, fuzzy observer designs and H ∞ controller designs for T-S fuzzy systems have been studied. First new stability conditions are obtained by relaxing the stability conditions derived in previous papers. Secondly, new fuzzy observers based on the relaxed stability conditions for the T-S fuzzy systems have been proposed. Thirdly two sufficient LMI conditions, which guarantee the existence of the H ∞ controllers based on fuzzy observers for the T-S fuzzy systems have been proposed. The conditions are not only simple, but also consider the interactions among the fuzzy subsystems. Finally by some examples, using the LMI technique, we show that the regulators, the fuzzy observers and the H ∞ controller designs based on new observers for the T-S fuzzy systems are very practical and efficient.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(03)00172-9