Title
A separation result for systems with feedback constraints
Abstract
In this paper we propose a certainty equivalence principle for the stabilization of nonlinear systems via measurement feedback, which clarifies the connection between the solution of a couple of Hamilton Jacobi inequalities (HJIs) and the design constraints imposed on the control and the estimation error fed back in the control loop by the observer itself. Once a solution of these HJIs has been found a measurement feedback controller can be directly implemented. This controller has different features with respect to classical controllers: in classical control schemes an observer consists of a “copy” of the system plus a term proportional to the error between the actual measurement and the “estimated” measurement. Here, we allow a term which is a nonlinear function of this error. This result is particularly powerful in conjunction with step-by-step strategies as illustrated by an application to feedforward systems.
Year
DOI
Venue
2006
10.1016/j.sysconle.2005.07.008
Systems & Control Letters
Keywords
Field
DocType
Nonlinear systems,Measurement feedback,Control constraints
Error function,Control theory,Mathematical optimization,Nonlinear system,Nonlinear control,Control theory,Control system,Observer (quantum physics),System identification,Mathematics,Feed forward
Journal
Volume
Issue
ISSN
55
5
0167-6911
Citations 
PageRank 
References 
2
0.49
3
Authors
1
Name
Order
Citations
PageRank
Stefano Battilotti113642.34