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Adding integral action for open-loop exponentially stable semigroups and application to boundary control of PDE systems

Abstract : The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE (partial differential equation) systems and an example of hyperbolic systems are worked out to show how exponentially stabilizing integral controllers are designed. The proof is based on a novel Lyapunov functional construction which employs the forwarding techniques.
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Submitted on : Monday, January 7, 2019 - 11:08:19 AM
Last modification on : Thursday, December 5, 2019 - 4:21:32 PM
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A Terrand-Jeanne, Vincent Andrieu, Valérie dos Santos Martins, C.-Z Xu. Adding integral action for open-loop exponentially stable semigroups and application to boundary control of PDE systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2020, ⟨10.1109/TAC.2019.2957349⟩. ⟨hal-01971584⟩

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