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Robust H∞ nonlinear modeling and control via uncertain fuzzy systems

✍ Scribed by Ji-Chang Lo; Min-Long Lin

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
325 KB
Volume
143
Category
Article
ISSN
0165-0114

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✦ Synopsis

In theory, an Algebraic Riccati Equation (ARE) scheme applicable to robust H ∞ quadratic stabilization problems of a class of uncertain fuzzy systems representing a nonlinear control system is investigated. It is proved that existence of a set of solvable AREs su ces to guarantee the quadratic stabilization of an uncertain fuzzy system while satisfying H ∞ -norm bound constraint. It is also shown that a stabilizing control law is reminiscent of an optimal control law found in linear quadratic regulator, and a linear control law can be immediately discerned from the stabilizing one. In practice, the minimal solution to a set of parameter dependent AREs is somewhat stringent and, instead, a linear matrix inequalities formulation is suggested to search for a feasible solution to the associated AREs. The proposed method is compared with the existing fuzzy literature from various aspects.

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