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eess.SY2023
Neural Operators of Backstepping Controller and Observer Gain Functions for Reaction-Diffusion PDEs
Miroslav Krstic, Luke Bhan, Yuanyuan Shi
Unlike ODEs, whose models involve system matrices and whose controllers involve vector or matrix gains, PDE models involve functions in those roles functional coefficients, depende…
eess.SY2023
Neural Operators for Bypassing Gain and Control Computations in PDE Backstepping
Luke Bhan, Yuanyuan Shi, Miroslav Krstic
We introduce a framework for eliminating the computation of controller gain functions in PDE control. We learn the nonlinear operator from the plant parameters to the control gains…