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In this paper, adaptive prescribed finite time stabilization of uncertainsingle-input and single-output nonlinear systems is considered in the presenceof unknown states, unknown parameters, external load disturbance, andnon-symmetric input saturation. A prescribed finite time disturbance observeris designed to approximate the unmeasured external disturbance. Also, anonsingular prescribed finite time terminal sliding mode control is proposedfor the closed-loop control of the system with the non-symmetric inputsaturation. Extended Kalman filter algorithm is employed for the real-timeestimations of the states and unknown parameters of the system. Moreover,particle swarm optimization algorithm is used to obtain the design parametersof the proposed disturbance observer and controller. To show the performance ofdesigned control scheme, the proposed approach is employed to guaranteeprescribed finite time stabilization of nonlinear vibration of a nonlocalstrain gradient nanobeam. Finally, numerical simulations are performed toillustrate the effectiveness and performance of the developed adaptive controlscheme for the vibration control of nanobeam in comparison to the conventionalsliding mode control.

Adaptive prescribed-time disturbance observer using nonsingular terminal sliding mode control: Extended Kalman filter and particle swarm optimization