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The twisting and supertwisting algorithms, generating important classes of second order sliding modes (SOSMs), are well-recognized for their finite time stability and robustness properties. In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of the supertwisting algorithm are introduced to extend the class of SOSM's that present the afore-mentioned...
New chattering-free feedback design for a class of perturbed nonlinear systems is presented. The idea is basically founded on uniting rational-power feedbacks with rational-type feedbacks that approximate the sign function. We show that the degree of smoothness of the applied controller depends essentially upon the number of the rational-power terms used in the expansion of the whole feedback. A detailed...
In this paper, we develop a model reference adaptive control (MRAC) scheme with sliding mode for a class of nonlinear dynamic systems with state delay which is robust with respect to an unknown plant delay, to a nonlinear perturbation, and to an external disturbance with unknown bounds. A novel Lyapunov-Krasovskii type functional is introduced to design the adaptive controller with smooth control...
We consider the application of a conditional integrator based continuous sliding mode control design for robust regulation of MIMO minimum-phase nonlinear systems to the control of the lateral flight dynamics of an F-16 aircraft. The system is non-affine in the input but can be rewritten as the perturbation of a control affine system with matched (input-dependent) disturbances. A parameter dependent...
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