Paper Info
Title
Set-Invariant Estimators for Multiple-Output Discrete-Time Systems
Abstract
A new technique for the design of full-order state observers with limitation of the estimation error has been recently proposed, based on the concept of set-invariance. However, such a technique was limited to single-output linear systems. In this paper, the design of set-invariant estimators is extended to multiple-output linear discrete-time systems subject to bounded disturbances. Based on multiparametric linear programming concepts, necessary and sufficient conditions are established under which a given polyhedral set defined on the estimation error space is invariant, in the sense that the error trajectory can be kept in this set by means of a suitable output injection. Moreover, three algorithms are proposed for the computation of an invariant polyhedron which bounds the trajectory of the estimation error. Important issues such as the computation of the output injection law and the convergence of the proposed algorithms are discussed as well. Numerical examples illustrate the proposed technique
Year
DOI
Venue
2006
10.1109/CDC.2006.377493
San Diego, CA
Keywords
DocType
ISSN
convergence,discrete time systems,linear programming,linear systems,multivariable control systems,observers,set theory,bounded disturbance,multiparametric linear programming,multiple-output discrete-time systems,polyhedral set,set-invariant estimators,state observers,linear program,state observer,linear system
Conference
0743-1546
ISBN
Citations 
PageRank 
1-4244-0171-2
1
0.41
References 
Authors
0
1
Name
Order
Citations
PageRank
C. E. T. Dorea12514.67