12 papers
Approximate Feedback Linearization for a Nonlinear Hyperbolic PDE Class -- Part I: Volterra Truncation
Miroslav Krstic
Backstepping for nonlinear PDEs yields exact feedback linearizing laws in the form of infinite Volterra series -- elegant in theory, but with challenges for implementation. This pa…
Stabilization of nonlinear systems with unknown delays via delay-adaptive neural operator approximate predictors
Luke Bhan, Miroslav Krstic, Yuanyuan Shi
This work establishes the first rigorous stability guarantees for approximate predictors in delay-adaptive control of nonlinear systems, addressing a key challenge in practical imp…
Neural Operator Feedback for a First-Order PIDE with Spatially-Varying State Delay
Jie Qi, Jiaqi Hu, Jing Zhang +1
A transport PDE with a spatial integral and recirculation with constant delay has been a benchmark for neural operator approximations of PDE backstepping controllers. Introducing a…
Delay compensation of multi-input distinct delay nonlinear systems via neural operators
Filip Bajraktari, Luke Bhan, Miroslav Krstic +1
In this work, we present the first stability results for approximate predictors in multi-input non-linear systems with distinct actuation delays. We show that if the predictor appr…
Backstepping for Partial Differential Equations:A Survey
Rafael Vazquez, Jean Auriol, Federico Bribiesca-Argomedo +1
Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as systems that are by nature finite-dimensional and modeled by ordinary differential equations…
Delay-adaptive Control of Nonlinear Systems with Approximate Neural Operator Predictors
Luke Bhan, Miroslav Krstic, Yuanyuan Shi
In this work, we propose a rigorous method for implementing predictor feedback controllers in nonlinear systems with unknown and arbitrarily long actuator delays. To address the an…