30 papers
Solving Monotone Linear-Quadratic Generalized Nash Equilibrium Problems via Quadratic Programming
Alberto Bemporad, Tatiana Tatarenko
We consider generalized Nash equilibrium problems among players with convex quadratic costs and shared affine constraints, assuming only that the game's pseudogradient is merel…
Solving Multiparametric Generalized Nash Equilibrium Problems and Explicit Game-Theoretic Model Predictive Control
Sophie Hall, Alberto Bemporad
We present a method for computing explicit solutions to parametric generalized Nash equilibrium (GNE) problems with convex quadratic cost functions and linear coupling and local co…
Learning practically stabilizing output-feedback nonlinear controllers
Kui Xie, Pablo Krupa, Alberto Bemporad
This paper addresses the problem of learning an output-feedback surrogate controller offline that approximates a given, possibly computationally expensive, nonlinear controller-obs…
Amortized Nonlinear Model Predictive Control
Francesco Pillitteri, Alberto Bemporad
Nonlinear Model Predictive Control requires solving a constrained nonlinear program (NLP) in real-time at every sampling instant, a computational bottleneck that limits deployment…
Learning Approximate Solutions to Multiparametric Generalized Nash Equilibrium Problems
A. Bemporad, T. Tatarenko
We propose a learning-based approach for approximating solution mappings of multiparametric generalized Nash equilibrium problems (GNEPs) with coupling in both objectives and const…
Towards A Goldfarb-Idnani Variant for Strongly Monotone Linear-Quadratic Games
Alberto Bemporad
We analyze a simple variant of the Goldfarb-Idnani (GI) dual active-set method for computing variational generalized Nash equilibria of strongly monotone N-player games with convex…