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Zbl 1217.93085
Boulkroune, A.; M'Saad, M.; Farza, M.
Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. (English)
[J] Fuzzy Sets Syst. 164, No. 1, 45-65 (2011). ISSN 0165-0114

Summary: An adaptive fuzzy variable-structure controller is investigated for a class of uncertain Multi-Input Multi-Output (MIMO) nonlinear time-delay systems with both sector nonlinearities and dead-zones. A decomposition property of the control-gain matrix is fully exploited in the controller design and the stability analysis. The unknown time-varying delay uncertainties are compensated for using an appropriate Lyapunov-Krasovskii functional. The boundedness of all signals of the closed-loop system as well as the exponential convergence of the underlying tracking errors to an adjustable region are established. The effectiveness of the proposed fuzzy adaptive controller is illustrated throughout simulation results.

MSC 2000:: *93C42 Fuzzy control
93C35 Multivariable, multidimensional control systems
93C40 Adaptive control systems
93C10 Nonlinear control systems
93B12 Variable structure systems
93C15 Control systems governed by ODE

Keywords: adaptive control; variable-structure control; fuzzy system; MIMO nonlinear systems; time-delay; sector nonlinearity; dead-zone

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Zentralblatt MATH Berlin [Germany]