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Fuzzy Control and Filter Design for Uncertain Fuzzy Systems (Paperback, 2006 ed.)
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Fuzzy Control and Filter Design for Uncertain Fuzzy Systems (Paperback, 2006 ed.)
Series: Lecture Notes in Control and Information Sciences, 347
Expected to ship within 10 - 15 working days
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Most real physical systems are nonlinear in nature. Control and
?ltering of nonlinear systems are still open problems due to their
complexity natures. These problem becomes more complex when the
system's parameters are - certain. A common approach to designing a
controller/?lter for an uncertain nonlinear system is to linearize
the system about an operating point, and uses linear control theory
to design a controller/?lter. This approach is successful when the
operating point of the system is restricted to a certain region. H-
ever, when a wide range operation of the system is required, this
method may fail.
ThisbookpresentsnewnovelmethodologiesfordesigningrobustH fuzzy ?
controllers and robustH fuzzy ?lters for a class of uncertain fuzzy
systems ? (UFSs), uncertain fuzzy Markovian jump systems (UFMJSs),
uncertain fuzzy singularly perturbed systems (UFSPSs) and uncertain
fuzzy singularly p- turbed systems with Markovian jumps
(UFSPS-MJs). These new meth- ologies provide a framework for
designing robustH fuzzy controllers and ? robustH fuzzy ?lters for
these classes of systems based on a Tagaki-Sugeno ? (TS) fuzzy
model. Solutions to the design problems are presented in terms of
linear matrix inequalities (LMIs). To investigate the design
problems, we ?rst describe a class of uncertain nonlinear systems
(UNSs), uncertain nonlinear Markovianjumpsystems(UNMJSs),
uncertainnonlinearsingularlyperturbed
systems(UNSPSs)anduncertainnonlinearsingularlyperturbedsystemswith
Markovian jumps (UNSPS-MJs) by a TS fuzzy system with parametric -
certainties and with/without Markovian jumps. Then, based on an LMI
- proach, we develop a technique for designing robustH fuzzy
controllers and ? robustH fuzzy ?lters such that a given prescribed
performance index is ? guaranteed.
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