Title
Global robust servomechanism problem of lower triangular systems in the general case
Abstract
The global robust servomechanism problem (alternatively, global robust output regulation problem) for lower triangular systems has been studied for two special cases. The first case assumes that the systems only contain polynomial nonlinearities, and the second case limits the exogenous signals and the unknown parameters to be within a known bounded set. This paper presents the solvability conditions of the global robust servomechanism problem for the lower triangular systems for the most general case where neither of the above two assumptions is needed. Our approach consists of two steps. In the first step, we convert the problem into a global adaptive regulation problem for lower triangular systems subject to both dynamic and static uncertainties. In the second step, we derive the solvability conditions of the problem by appealing to the recent result on the solvability of the global adaptive regulation problem for lower triangular systems with both dynamic and static uncertainties.
Year
DOI
Venue
2004
10.1016/j.sysconle.2003.10.006
Systems & Control Letters
Keywords
Field
DocType
Servomechanism,Output regulation,Nonlinear control
Mathematical optimization,Polynomial,Control theory,Nonlinear control,Bounded set,Servomechanism,Triangular matrix,Dynamical system,Mathematics
Journal
Volume
Issue
ISSN
52
3
0167-6911
Citations 
PageRank 
References 
16
1.48
8
Authors
2
Name
Order
Citations
PageRank
Zhiyong Chen116419.68
Jie Huang23125268.59