Abstract
This paper concerns the stability of a one-dimensional Euler-Bernoulli beam equation with external disturbance and output feedback time-delay, in which the disturbance is bounded by an exponential function. In order to estimate disturbance, the authors design an estimator of disturbance, which is composed of two parts: One is the system measurement that is called the eigen-measurement, another is a time-variant estimator of disturbance. Thus, the feedback controller which is based on the estimate of the disturbance is designed to stabilize the system. The finite-time stability of the system under this control law is proved by Lyapunov function method. Finally, some numerical simulations on the dynamical behavior of the closed-loop system is presented to show the correctness of the result.
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This research was supported by the National Science Natural Foundation in China under Grant No. 61773277.
This paper was recommended for publication by Editor SUN Jian.
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Wu, J., Shang, Y. Exponential Stability of the Euler-Bernoulli Beam Equation with External Disturbance and Output Feedback Time-Delay. J Syst Sci Complex 32, 542–556 (2019). https://doi.org/10.1007/s11424-018-7182-0
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DOI: https://doi.org/10.1007/s11424-018-7182-0