Title
A general formulation and solvability of the global robust output regulation problem
Abstract
While the output regulation problem for linear systems accommodates both bounded and unbounded exogenous signals, the existing formulation of the output regulation problem for nonlinear systems only allows bounded exogenous signals produced by an exosystem with a neutrally stable equilibrium. In particular, when it comes to the robust output regulation problem, the only admissible exogenous signal is a finite combination of step and sinusoidal functions. In this paper, we give a general formulation of the robust output regulation problem that admits unbounded exogenous signals, and contains the previous formulations as special cases when the system is linear or when the exogenous signals are bounded. Then, we give conditions under which the problem can be solved by solving a robust stabilization problem of an augmented system. Finally, we apply our general result to obtain the solvability conditions of the general robust output regulation problem for the class of lower triangular nonlinear systems.
Year
DOI
Venue
2005
10.1109/TAC.2005.844721
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Robustness,Nonlinear systems,Automation,Linear systems,Robust control,Councils,Eigenvalues and eigenfunctions,Testing,Control engineering,Stability
Journal
50
Issue
ISSN
Citations 
4
0018-9286
26
PageRank 
References 
Authors
1.71
13
2
Name
Order
Citations
PageRank
Zhiyong Chen116419.68
Jie Huang23125268.59