원문정보
초록
영어
This paper proposes a novel sliding mode control (SMC) scheme to stabilize a class of fractional-order chaotic systems. Through constructing two sliding mode variables, the control problem of n-dimensional system can be transformed to the equivalent stabilizing problem of a reduced-order system. Subsequently, on the basis of second-order sliding mode (SOSM) technique, a robust control law is designed, which strongly attenuates the chattering phenomenon inherent in traditional sliding mode controller, and guarantees the existence of sliding motion in a finite time. The stability of two sliding mode variables to the origin is proved by conventional and fractional Lyapunov theories, respectively. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approach.
목차
1. Introduction
2. Preliminaries
3. Main Results
3.1. Design of Chattering-free SOSM Controller for Uncertain Fractional-order Chain of Integrator
3.2. Application of the Proposed Control Scheme for a Class of 3D Fractional-order Systems
4. Simulation Results
4.1. Example 1
4.2. Example 2
5. Conclusions
Acknowledgements
References