DocumentCode :
2614166
Title :
Guaranteed state estimation by zonotopes
Author :
Alamo, T. ; Bravo, J.M. ; Camacho, E.F.
Author_Institution :
Departamento de Ingenieria de Sistemas y Autom., Univ. de Sevilla, Spain
Volume :
6
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
5831
Abstract :
This paper presents a new approach to guaranteed state estimation for nonlinear discrete-time systems with a bounded description of noise and parameters. The main result is an algorithm to compute a set that contains the states consistent with the measured output and the given noise and parameters. This set is represented by a zonotope. The volume of the zonotope is minimized each sample instant solving a convex optimization problem. Interval arithmetic is used to calculate a guaranteed trajectory of the state process. Two examples have been provided for clarifying the algorithm.
Keywords :
convex programming; discrete time systems; nonlinear control systems; set theory; state estimation; convex optimization problem; nonlinear discrete-time systems; state estimation; zonotopes; Arithmetic; Filtering theory; Filters; Gain measurement; Gaussian noise; Noise measurement; Observers; State estimation; Stochastic resonance; Telephony;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1271935
Filename :
1271935
Link To Document :
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