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• W4313139654 abstract "We present an adaptive event-triggered boundary control scheme for a parabolic partial differential equation–ordinary differential equation (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); and 3) exponential regulation of the plant states to zero. A simulation example is presented to validate the theoretical result." @default.
• W4313139654 created "2023-01-06" @default.
• W4313139654 creator A5018293076 @default.
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• W4313139654 date "2023-09-01" @default.
• W4313139654 modified "2023-10-16" @default.
• W4313139654 title "Event-Triggered Adaptive Control of a Parabolic PDE–ODE Cascade With Piecewise-Constant Inputs and Identification" @default.
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• W4313139654 doi "https://doi.org/10.1109/tac.2022.3227916" @default.
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