Distributed predictor-based stabilization of continuous interconnected systems with input delays.

*(English)*Zbl 1387.93128Summary: In this paper, we address the stabilization problem of interconnected systems with input delays. The considered system consists of two coupled subsystems with input delays. Distributed predictor-based controllers are proposed to stabilize such interconnected systems and each controller is independent of the others and does not utilize the state information of other subsystems to predict the state of the corresponding subsystem. We also present a low-pass filter version of the predictor-based controller. In order to analyze the stability of the closed-loop systems, such systems are transformed into Partial Differential Equations (PDE). Under the numerical implementations of the predictor-based controller, exponential stability is asserted for the closed-loop systems and explicit Lyapunov functionals are constructed. Finally, an example is given to show the effectiveness of the distributed predictor-based controller.

##### MSC:

93D20 | Asymptotic stability in control theory |

93D21 | Adaptive or robust stabilization |

93B17 | Transformations |

93C20 | Control/observation systems governed by partial differential equations |

93A14 | Decentralized systems |

##### Keywords:

input delays; interconnected systems; predictor; stabilization; exponential stability; Lyapunov functionals; transformation
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DOI

##### References:

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