Set-membership state estimation for discrete time piecewise affine systems using zonotopes

Mojtaba Tabatabaeipour, Jakob Stoustrup

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Abstract

This paper presents a method for guaranteed state estimation of discrete time piecewise affine systems with unknown but bounded noise and disturbance. Using zonotopic set representations, the proposed method computes the set of states that are consistent with the model, observation, and bounds on the noise and disturbance such that the real state of the system is guaranteed to lie in this set. Because in piecewise affine systems, the state space is partitioned into a number
of polyhedral sets, at each iteration the intersection of the zonotopes containing a set-valued estimation of the states with each of the polyhedral partitions must be computed. We use an analytic method to compute the intersection as a zonotope and minimize the size of the intersection. A numerical example is provided to illuminate the algorithm.
Original languageEnglish
Title of host publicationProceedings of the 2013 European Control Conference
PublisherIEEE
Publication date2013
Pages3143-3148
ISBN (Print)78-3-952-41734-8
Publication statusPublished - 2013
Event12th European Control Conference (ECC 2013) - Zurich, Switzerland
Duration: 17 Jul 201319 Jul 2013
http://www.ecc13.ch/

Conference

Conference12th European Control Conference (ECC 2013)
CountrySwitzerland
CityZurich
Period17/07/201319/07/2013
Internet address

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