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Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance
School of Mathematics and Statistics, Shandong Normal University, Jinan, China
- 1 School of Mathematics and Statistics, Shandong Normal University, Jinan, China
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Abstract
This paper has studied the output feedback regulation problem for 1-D anti-stable wave equation with distributed disturbance and a given reference signal generated by a finite-dimensional exosystem. We first design an observer for both exosystem and auxiliary PDE system to recover the state. Then we show the well-posedness of the regulator equations and propose an observer-based feedback control law to regulate the tracking error to zero exponentially and keep all the states bounded.
KeywordsAnti-Stable Wave EquationDistributed DisturbanceExosystemOutput Feedback Regulation
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