most citedGain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation

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eess.SY2024★ 2 cited

Adaptive Neural-Operator Backstepping Control of a Benchmark Hyperbolic PDE

Maxence Lamarque, Luke Bhan, Yuanyuan Shi +1

To stabilize PDEs, feedback controllers require gain kernel functions, which are themselves governed by PDEs. Furthermore, these gain-kernel PDEs depend on the PDE plants' function…

eess.SY2024★ 3 cited

Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation

Maxence Lamarque, Luke Bhan, Rafael Vazquez +1

To stabilize PDE models, control laws require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients. When a PDE is nonlinear and its "…