Brief paper: A set-membership state estimation algorithm based on DC programming

Authors:
T. Alamo;J. M. Bravo;M. J. Redondo;E. F. Camacho
Affiliations:
Departamento de Ingeniería de Sistemas y Automática, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain;Departamento de Ingeniería Electrónica, Sistemas Informáticos y Automática, Universidad de Huelva, Carretera Huelva - La Rábida, Palos de la Frontera, 21071 Huelva, Spain;Departamento de Ingeniería Electrónica, Sistemas Informáticos y Automática, Universidad de Huelva, Carretera Huelva - La Rábida, Palos de la Frontera, 21071 Huelva, Spain;Departamento de Ingeniería de Sistemas y Automática, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 8
Cited 4

Block recursive parallelotopic bounding in set membership identification

Automatica (Journal of IFAC)
DC programming: overview

Journal of Optimization Theory and Applications
Robustness in Identification and Control

Robustness in Identification and Control
Reliable localization using set-valued nonlinear filters

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Technical communique: Robust state estimation and model validation for discrete-time uncertain systems with a deterministic description of noise and uncertainty

Automatica (Journal of IFAC)
Brief paper: Recursive state bounding by parallelotopes

Automatica (Journal of IFAC)
Technical Communique: Nonlinear bounded-error state estimation of continuous-time systems

Automatica (Journal of IFAC)
Brief Guaranteed state estimation by zonotopes

Automatica (Journal of IFAC)

Robust semidefinite programming problems with general nonlinear parameter dependence: Approaches using the DC-representations

Automatica (Journal of IFAC)
Letters: Set-membership state estimation with nonlinear equality constraints and quantization

Neurocomputing
State estimation for Markovian Jump Linear Systems with bounded disturbances

Automatica (Journal of IFAC)
A class of semi-supervised support vector machines by DC programming

Advances in Data Analysis and Classification

Quantified Score

Hi-index	22.15

Visualization

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 sets of states that are consistent with the evolution of the system, the measured outputs and bounded noise and parameters are represented by zonotopes. DC programming and intersection operations are used to obtain a tight bound. An example is given to illustrate the proposed algorithm.