带有内部扰动的Timoshenko梁系统的指数稳定性

Abstract

Abstract:

In this paper, we consider the stabilization of a Timoshenko beam with interior disturbances. On the basis of the idea of sliding-mode control, we design nonlinear distributed feedback controllers to reduce the effects of the external disturbances. Due to the resulting controlled system is a nonlinear system, the theories of nonlinear maximal monotone operators and variation principle are employed for the solvability analysis of the nonlinear closed-loop system. Moreover we show that exponential stability of the closed-loop system by the Lyapunov method.

Key words: Exponential stability, Timoshenko beam, Maximal monotone operator, Internal disturbance, Nonlinear distributed feedback controller

CLC Number:

O231.9

Zhang Liping, Liu Dongyi, Zhang Guoshan. Exponential Stabilization of a Timoshenko Beam System with Internal Disturbances[J].Acta mathematica scientia,Series A, 2017, 37(1): 185-198.

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Exponential Stabilization of a Timoshenko Beam System with Internal Disturbances

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