Fast explicit nonlinear model predictive control via multiresolution function approximation with guaranteed stability

Autor: John Lygeros, Davide M. Raimondo, Sean Summers, Manfred Morari, Colin N. Jones
Rok vydání: 2010
Předmět:
Zdroj: IFAC Proceedings Volumes. 43:533-538
ISSN: 1474-6670
DOI: 10.3182/20100901-3-it-2016.00275
Popis: In this paper an algorithm for nonlinear explicit model predictive control is introduced based on multiresolution function approximation that returns a low complexity approximate receding horizon control law built on a hierarchy of second order interpolets. Feasibility and stability guarantees for the approximate control law are given using reachability analysis, where interval methods are used to construct a capture basin (feasible region). A constructive algorithm is provided that combines adaptive function approximation with interval methods to build a receding horizon control law that is suboptimal, yet with a region of guaranteed feasibility and stability. The resulting control law is built on a grid hierarchy that is fast to evaluate in real-time systems.
Databáze: OpenAIRE