Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems

doi:10.1016/j.ifacol.2015.09.097

	Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems
	Chachuat, Benoit 1; Houska, Boris3 ; Paulen, Radoslav 2; Peric, Nikola 1; Rajyaguru, Jai 1; Villanueva, Mario E.1
	2015
会议录名称	IFAC PAPERSONLINE
卷号	48
期号	8
页码	981-995
发表状态	已发表
DOI	10.1016/j.ifacol.2015.09.097
摘要	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 reachability 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. (C) 2015, IFAC (International Federation or Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
关键词	affine-set parameterization differential equations reachable set bifurcation analysis set-membership estimation
出版地	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
会议地点	Whistler, BC, Canada
收录类别	CPCI ; ISSHP ; EI
语种	英语
资助项目	Engineering and Physical Sciences Research Council[EP/J006572/1EPSRC]
WOS记录号	WOS:000375842300165
出版者	ELSEVIER SCIENCE BV
EI入藏号	20160301805367
EI主题词	Bifurcation (mathematics) ; Calculations ; Chemical analysis ; Differential equations ; Differentiation (calculus) ; Dynamical systems ; Enclosures ; Model predictive control ; Nonlinear dynamical systems ; Nonlinear systems ; Parameter estimation ; Robust control
EI分类号	Automatic Control Principles and Applications:731 ; Mathematics:921 ; Calculus:921.2 ; Systems Science:961
WOS关键词	INITIAL-VALUE PROBLEMS ; PARAMETER-ESTIMATION ; GLOBAL OPTIMIZATION ; VALIDATED SOLUTIONS ; CONVEX COMPUTATION ; MODEL INVALIDATION ; INTERVAL-ANALYSIS ; STATE ; RELAXATIONS ; INTEGRATION
原始文献类型	Proceedings Paper
引用统计
文献类型	会议论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/2291
专题	信息科学与技术学院_PI研究组_Boris Houska组
通讯作者	Chachuat, Benoit
作者单位	1.Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn, Ctr Proc Syst Engn, South Kensington Campus, London SW7 2AZ, England 2.Tech Univ Dortmund, Dept Biochem & Chem Engn, Proc Dynam & Operat Grp, D-44221 Dortmund, Germany 3.Shanghai Tech Univ, Sch Informat Sci & Technol, Shanghai 200031, Peoples R China
推荐引用方式 GB/T 7714	Chachuat, Benoit,Houska, Boris,Paulen, Radoslav,et al. Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems[C]. PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS:ELSEVIER SCIENCE BV,2015:981-995.