Distributed Geometric Control of Wave Equation

Maidi, Ahmed; Diaf, Moussa; Corriou, Jean‐Pierre

doi:10.3182/20080706-5-kr-1001.00037

Cited by 5 publications

(1 citation statement)

References 18 publications

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“…A very classic control problem in control theory is output regulation or to design a controller so that the output of a closed-loop system tracks asymptotically a reference signal, regardless of external disturbance and initial state. Many output regulations for finite-dimensional systems [1][2][3][4] have been generalized to the infinite-dimensional systems, like [5][6][7][8][9][10] and the references therein. However, it is well known that the performance output tracking has not been studied for infinite-dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

Output Tracking for One‐Dimensional Schrödinger Equation subject to Boundary Disturbance

Liu

Wang

Guo

2017

Asian Journal of Control

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In this paper, we are concerned with the output reference signal tracking for a one dimensional Schrödinger equation subject to general harmonic disturbance at one end and the control at the another end. Based on the reference signal, we design a state reference system and the output feedback control to cancel the disturbance and track the output reference signal. We show that the whole closed‐loop system is well‐posed and the performance output is tracking the reference signal. The numerical experiments are carried out to illustrate the approach effective.

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