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Distributed predictor-based stabilization of continuous interconnected systems with input delays. (English) Zbl 1387.93128
Summary: 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.

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
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