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LMI formulations for fuzzy control became the tool of choice in the 1990s. Many nonlinear systems can be modelled as fuzzy systems (sector-nonlinearity), so fuzzy control may be considered as a technique for nonlinear control. Fruitful results have been obtained, but some sources of conservativeness remain when compared to other nonlinear approaches. This paper outlines such conservativeness issues...
A fairly general class of nonlinear plants can be modeled as as a time-varying polytopic combination of “vertex” linear systems also known as Takagi-Sugeno fuzzy systems. As many linear LMI control results naturally generalize to such systems, LMI formulations for TS control became the tool of choice in the 1990s. Important results have since been obtained, although significant sources of conservativeness...
A fairly general class of nonlinear plants can be modeled as fuzzy systems, i.e., as a time-varying convex combination of “vertex” linear systems. As many linear LMI control results naturally generalize to such fuzzy systems, LMI formulations for fuzzy control became the tool of choice in the 1990s. Important results have since been obtained in the fuzzy arena, although significant sources of conservativeness...
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