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- W3207927172 abstract "We present an adaptive event-triggered boundary control scheme for a parabolic PDE-ODE system, where the reaction coefficient of the parabolic PDE, and the system parameter of a scalar ODE, are unknown. In the proposed controller, the parameter estimates, which are built by batch least-square identification, are recomputed and the plant states are resampled simultaneously. As a result, both the parameter estimates and the control input employ piecewise-constant values. In the closed-loop system, the following results are proved: 1) the absence of a Zeno phenomenon; 2) finite-time exact identification of the unknown parameters under most initial conditions of the plant (all initial conditions except a set of measure zero); 3) exponential regulation of the plant states to zero. A simulation example is presented to validate the theoretical result." @default.
- W3207927172 created "2021-10-25" @default.
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- W3207927172 date "2021-10-11" @default.
- W3207927172 modified "2023-10-17" @default.
- W3207927172 title "Event-Triggered Adaptive Control of a Parabolic PDE-ODE Cascade with Piecewise-Constant Inputs and Identification" @default.
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- W3207927172 doi "https://doi.org/10.48550/arxiv.2110.05680" @default.
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