Adaptive second-order fractional sliding mode control with application to water tanks level control

Please enable javascript in your browser.

Senejohnny, D ; Sharif University of Technology | 2015

76 Viewed

Type of Document: Article
Publisher: Nova Science Publishers, Inc , 2015
Abstract:
Combining the fractional calculus with second-order sliding mode control,a novel type of control strategycalled second order fractional sliding mode control is introduced for a class of nonlinear dynamical systemssubject to uncertainty. A fractional-order switching manifold is proposed and the corresponding control law isformulated based on the Lyapunov stability theory to guarantee the sliding condition. A novel adaptation algorithm is derived to ensure perfect tracking, diminish chattering effect and steady state error by estimating switching controller parameters. Finally, numerical simulation results utilizing the dynamic model of interconnected twin tank system are presented to illustrate the effectiveness of the proposed method
Keywords:
Source: Fractional Calculus: Applications ; 2015 , Pages 149-163 ; 9781634632331 (ISBN)9781634632218 (ISBN)