Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2013; 11(2): 416-421

Published online March 27, 2013

https://doi.org/10.1007/s12555-012-0196-9

© The International Journal of Control, Automation, and Systems

Second-Order Sliding Mode Control with Backstepping for Aeroelastic Systems Based on Finite-Time Technique

Zhankui Song and Hongxing Li

Dalian University of Technology, China

Abstract

In this paper, a backstepping second-order sliding mode control scheme (BSOSMC) is proposed for suppressing both flutter and limit cycle oscillation in the aeroelastic system. The proposed control scheme combining the sliding mode control and backstepping technique, which obtain the properties of fast response and improve the control accuracy. To obtain a better disturbance rejection property, we employ compensated control term. The compensated control term provides the complete compensation of the uncertainty and disturbance, and it relax the requirement of the bound of uncer-tainty and disturbance. The convergence and stability of the proposed control scheme are proved by using Lyapunov’s method. Finally, the simulation results demonstrate the effectiveness of the proposed control scheme.

Keywords Aeroelastic system, backstepping, finite time, second-order sliding mode control.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2013; 11(2): 416-421

Published online April 1, 2013 https://doi.org/10.1007/s12555-012-0196-9

Copyright © The International Journal of Control, Automation, and Systems.

Second-Order Sliding Mode Control with Backstepping for Aeroelastic Systems Based on Finite-Time Technique

Zhankui Song and Hongxing Li

Dalian University of Technology, China

Abstract

In this paper, a backstepping second-order sliding mode control scheme (BSOSMC) is proposed for suppressing both flutter and limit cycle oscillation in the aeroelastic system. The proposed control scheme combining the sliding mode control and backstepping technique, which obtain the properties of fast response and improve the control accuracy. To obtain a better disturbance rejection property, we employ compensated control term. The compensated control term provides the complete compensation of the uncertainty and disturbance, and it relax the requirement of the bound of uncer-tainty and disturbance. The convergence and stability of the proposed control scheme are proved by using Lyapunov’s method. Finally, the simulation results demonstrate the effectiveness of the proposed control scheme.

Keywords: Aeroelastic system, backstepping, finite time, second-order sliding mode control.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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