A Robustness Consideration in Continuous Time [K, KL] Sector for Nonlinear System

Abstract

In this paper, we concerned to achieve an asymptotic stabilization of a generalized nonlinear system with significant uncertainties by rendering a relatively lesser amount of control. Here, a combined control consist of Hands-Off control and an adaptive sliding mode control is allowed to adjust the movement of the system state to the interior of $\mathcal {[K,KL]}$ sector and compensate the unknown disturbance, respectively. The adaptation methodology consists of a low-pass filter to filter-out the high-frequency component and searches for minimum possible value to cancel the effect of the unknown disturbance throughout the dynamical system. Finally, a design example is shown with the simulation results for $\mathcal {[K,KL]}$ sector design.