Abstract

In text research, the output tracking problem of the left endpoint of one-dimensional wave equation with the control input at the opposite is considered, with non-differentiable reference signal and boundary disturbance. the output tracking problem of one-dimensional wave equation is considered to adopt the Auto disturbance rejection control(ADRC) technology. Firstly, an infinite order disturbance observer is designed. Secondly, we use the linear third-order Tracking Differentiator that used to extract the approximate derivatives of the reference signal. Then, constructing an auxiliary system which the right boundary condition is 0 and the reference signal is posed as the left boundary condition. The right boundary hidden regularity of the auxiliary system is used as the right boundary condition and the estimated value of the disturbance is posed as the left boundary condition to design the servo system, The problem studied in this paper that the control inputs and outputs are non-collocated. Finally, the numerical simulation verifies the theoretical analysis results.

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