Finite-time Stabilization of Fractional-order Systems with Model Uncertainties and External Disturbances
In this paper,a fractional-order sliding mode controller is proposed to realize the finite-time stabilization of fractional order(FO)system.The FO systems are perturbed by model uncertainties and external disturbances.First,a new fractional non-singular terminal sliding surface with desired dynamics is proposed.Subsequently,on the basis of Lyapunov function and finite-time control theory,a robust control law is introduced to guarantee the occurrence of the sliding motion in a given time.It demonstrates that reaching and sliding phases both are finite-time convergent.Finally,an example is provided to illustrate the effectiveness of the proposed method.
Finite-time stabilization Fractional-order system Model uncertainties External disturbances
Xiaomin Tian Shumin Fei Lin Chai
School of Automation,Southeast University,Nanjing 210096,China
国际会议
长沙
英文
703-707
2014-05-31(万方平台首次上网日期,不代表论文的发表时间)