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Robust adaptive fuzzy controller for non-affine nonlinear systems with dynamic rule activation. (English) Zbl 1026.93028

The authors present a comprehensive design of a robust adaptive fuzzy controller for a general class of uncertain single-input single-output non-affine nonlinear dynamic systems of the form \[ y^{(n)}= F(y,y^{(1)},y^{(2)}, \dots,y^{(n-1)},u) \] where “\(y\)” denotes the measured output, “\(u\)” stands for control and “\(F\)” is some unknown nonlinear function. In contrast to the existing studies dealing with fixed fuzzy rule-based systems, the approach taken in this study concerns dynamic activation aspects of the rules. A uniform boundedness property for the tracking error is assured via the Lyapunov synthesis applied at the design phase of the system. A number of numerical simulations are presented.

MSC:

93C42 Fuzzy control/observation systems
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
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