Identification of piecewise affine systems via mixed-integer programming
TLDR
This paper provides algorithms based on mixed-integer linear or quadratic programming which are guaranteed to converge to a global optimum of hybrid dynamical systems, and suggests a way of trading off between optimality and complexity by using a change detection approach.About:
This article is published in Automatica.The article was published on 2004-01-01 and is currently open access. It has received 384 citations till now. The article focuses on the topics: Affine combination & Affine hull.read more
Citations
More filters
Book
Predictive Control for Linear and Hybrid Systems
TL;DR: Predictive Control for Linear and Hybrid Systems is an ideal reference for graduate, postgraduate and advanced control practitioners interested in theory and/or implementation aspects of predictive control.
Journal ArticleDOI
Perspectives on System Identification
TL;DR: This presentation aims at giving an overview of the “science” side of System identification, i.e. basic principles and results and at pointing to open problem areas in the practical, “art”, side of how to approach and solve a real problem.
Journal ArticleDOI
A bounded-error approach to piecewise affine system identification
TL;DR: This paper proposes a three-stage procedure for parametric identification of piecewise affine autoregressive exogenous (PWARX) models and imposes that the identification error is bounded by a quantity /spl delta/.
Journal ArticleDOI
Identification of hybrid systems - A tutorial
TL;DR: In this paper, the identification of hybrid models with a hybrid structure is discussed, and the main features of the selected procedures are presented, and possible interactions to still enhance their effectiveness are suggested.
Proceedings Article
Identification of hybrid systems : A tutorial
TL;DR: Four different approaches for the identification of switched affine and piecewise affine models are focused on, namely an algebraic procedure, a Bayesian procedure, an clustering-based procedure, and a bounded-error procedure.
References
More filters
Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Journal ArticleDOI
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
TL;DR: Bendixson's theorem is extended to the case of Lipschitz continuous vector fields, allowing limit cycle analysis of a class of "continuous switched" systems.
Journal ArticleDOI
Control of systems integrating logic, dynamics, and constraints
Alberto Bemporad,Manfred Morari +1 more
TL;DR: A predictive control scheme is proposed which is able to stabilize MLD systems on desired reference trajectories while fulfilling operating constraints, and possibly take into account previous qualitative knowledge in the form of heuristic rules.
Journal ArticleDOI
Nonlinear black-box modeling in system identification: a unified overview
Jonas Sjöberg,Qinghua Zhang,Lennart Ljung,Albert Benveniste,Bernard Delyon,Pierre-Yves Glorennec,Håkan Hjalmarsson,Anatoli Juditsky +7 more
TL;DR: What are the common features in the different approaches, the choices that have to be made and what considerations are relevant for a successful system-identification application of these techniques are described, from a user's perspective.
Journal ArticleDOI
A unified framework for hybrid control: model and optimal control theory
TL;DR: This work introduces a mathematical model of hybrid systems as interacting collections of dynamical systems, evolving on continuous-variable state spaces and subject to continuous controls and discrete transitions, and develops a theory for synthesizing hybrid controllers for hybrid plants in all optimal control framework.