On the design of output regulators for nonlinear systems

	On the design of output regulators for nonlinear systems
	Cheng, D ; Tarn, TJ ; Spurgeon, SK
刊名	SYSTEMS & CONTROL LETTERS
	2001-07-06
卷号	43 期号:3 页码:167-179
关键词	output regulation state feedback center manifold Poisson stability hyperbolic realization Whitney topology
ISSN号	0167-6911
英文摘要	This paper considers the output regulation problem for nonlinear systems. By adding the assumption that the decoupling matrix of the system under consideration has maximum rank, the general results presented in Isidori and Byrnes (IEEE Trans. Automat. Control 35(2) (1990) 131-140) have been improved in three ways. Firstly, the precise form of the regulators is presented for multi-input multi-output affine nonlinear systems. Secondly, the number of unknown functions in the controller parameterization has been reduced. Finally, by introducing a hyperbolic realization and constructing auxiliary systems, a sufficient and generically necessary condition for the existence of the unknown functions is obtained. This condition is easily verifiable using only algebraic computation. These results provide a complete solution to the output regulation problem, for a dass of nonlinear systems. It is also shown that for this class of systems, the output regulation problem is always generically solvable. (C) 2001 Elsevier Science B.V. All rights reserved.
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000169498400002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/16189]
专题	中国科学院数学与系统科学研究院
通讯作者	Spurgeon, SK
作者单位	1.Univ Leicester, Control Syst Res Grp, Leicester LE1 7RH, Leics, England 2.Chinese Acad Sci, Inst Syst Sci, Lab Syst & Control, Beijing 100080, Peoples R China 3.Washington Univ, Dept Syst Sci & Math, St Louis, MO 63130 USA
推荐引用方式 GB/T 7714	Cheng, D,Tarn, TJ,Spurgeon, SK. On the design of output regulators for nonlinear systems[J]. SYSTEMS & CONTROL LETTERS,2001,43(3):167-179.
APA	Cheng, D,Tarn, TJ,&Spurgeon, SK.(2001).On the design of output regulators for nonlinear systems.SYSTEMS & CONTROL LETTERS,43(3),167-179.
MLA	Cheng, D,et al."On the design of output regulators for nonlinear systems".SYSTEMS & CONTROL LETTERS 43.3(2001):167-179.