Title
Parameterization of decoupling control laws for affine nonlinear systems
Abstract
The problem of parameterizing all the decoupling feedbacks is investigated and applied to the design of a stable noninteracting control for affine nonlinear systems. An algebraic study of controlled invariance is presented. It covers a new criterion for controlled invariance, parameterization and novel properties of the friend set, and computational aspects of the maximal controlled invariant distribution. This analysis is used to derive Falb-Wolovich-like conditions for general decoupling (including disturbance decoupling and noninteracting control) problems. It is shown that to determine all the decoupling feedbacks one usually needs infinitely many (sets of) controlled invariant or controllability distributions that can arise as solutions to the problems. It is also shown that under certain conditions, stable noninteracting design based on first parameterizing the decoupling feedbacks is still a feasible approach in the sense that a feedback can be chosen from the friend set of the maximal solution for the exponentially stable and noninteracting design problem
Year
DOI
Venue
1993
10.1109/9.222303
Automatic Control, IEEE Transactions  
Keywords
DocType
Volume
Nonlinear control systems,Control systems,Nonlinear systems,State feedback,Aerodynamics,Distributed computing,Output feedback,Control design,Controllability,Ear
Journal
38
Issue
ISSN
Citations 
6
0018-9286
3
PageRank 
References 
Authors
0.58
1
1
Name
Order
Citations
PageRank
X. Xia1645.66