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arXiv · 1801.06569

Observer-based boundary control of the sine-Gordon model energy

Maksim Dolgopolik·Alexander L. Fradkov·Boris Andrievsky
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Abstract

In this paper the output feedback energy control problem for the sine-Gordon model is studied. An observer for the sine-Gordon equation and a speed-gradient boundary control law for solving this problem are analysed. Explicit inequalities on system's parameters ensuring the exponential decay of the estimation error are obtained. Under an additional assumption the achievement of the control goal is proved. The results of numerical experiments demonstrate that the transient time in energy is close to the transient time in observation error.

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Maksim Dolgopolik, Alexander L. Fradkov, Boris Andrievsky. 2018-01-19. Observer-based boundary control of the sine-Gordon model energy. https://arxiv.org/abs/1801.06569

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