Set-theoretic approaches in analysis, estimation and control of nonlinear systems
File(s)
Accepted version
Author(s)
Type
Conference Paper
Abstract
This paper gives an overview of recent developments in set-theoretic methods for nonlinear systems, with a particular focus on the activities in our own research group. Central to these approaches is the ability to compute tight enclosures of the range of multivariate systems, e.g. using ellipsoidal calculus or higher-order inclusion techniques based on multivariate polynomials, as well as the ability to propagate these enclosures to enclose the trajectories of parametric or uncertain differential equations. We illustrate these developments with a range of applications, including the reach ability analysis of nonlinear dynamic systems; the determination of all equilibrium points and bifurcations in a given state-space domain; and the solution of set-membership parameter estimation problems. We close the paper with a discussion about on-going research in tube-based methods for robust model predictive control.
Date Issued
2015-09-25
Date Acceptance
2015-06-07
Citation
IFAC Proceedings Volumes (IFAC-PapersOnline), 2015, 48 (8), pp.981-995
ISSN
1474-6670
Publisher
Elsevier
Start Page
981
End Page
995
Journal / Book Title
IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume
48
Issue
8
Copyright Statement
© 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Grant Number
EP/J006572/1
PCIG9-GA-2011-293953
Source
9th IFAC Symposium on Advanced Control of Chemical Processes
Publication Status
Published
Start Date
2015-06-07
Finish Date
2015-06-10
Coverage Spatial
Whistler, Canada