带有未知内部扰动的星形Euler-Bernoulli梁网络的指数跟踪控制

Abstract

Abstract:

In this paper, the exponential tracking control for a star-shaped network of Eulerbernoulli beams with unknown internal disturbance is studied. The problem is transformed into the stabilization of the error system between the objective network and the active network. The idea of sliding-mode control is used to design a nonlinear feedback control law. The solvability of the error system is obtained via monotone operator theory under an appropriately chosen space norm. The error system is proved to be exponentially stabilized at any decay rate by a suitable Lyapunov functional. So the objective network can track the active network exponentially at any designated rate.

Key words: Tracking control, Unknown internal disturbance, Star-shaped network of Eulerbernoulli beams, Sliding-mode control, Exponential stabilization

CLC Number:

O231.9

Yaxuan Zhang,Genqi Xu,Yanni Guo. Exponential Tracking Control for a Star-Shaped Network of Euler-Bernoulli Beams with Unknown Internal Disturbance[J].Acta mathematica scientia,Series A, 2019, 39(3): 596-610.

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Exponential Tracking Control for a Star-Shaped Network of Euler-Bernoulli Beams with Unknown Internal Disturbance

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