A Robustness Consideration in Continuous Time <inline-formula> <tex-math notation="LaTeX">$\mathcal{[K,KL]}$ </tex-math></inline-formula> 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 [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 [K, KL] sector design.

Keywords

• [K, KL] sector
• Hands-Off control%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">Hands-Off</italic> control
• adaptive sliding mode control