State estimation for linear switched systems with unstable invariant zeros and unknown inputs

Hector Rios; Jorge Davila; Leonid Fridman; Denis Efimov

doi:10.1109/CDC.2012.6426455

State estimation for linear switched systems with unstable invariant zeros and unknown inputs

Hector Rios, Jorge Davila, Leonid Fridman, Denis Efimov

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

In this paper the problem of continuous and discrete state estimation for a class of linear switched systems is studied. The class of systems under study can contain nonminimum phase zeros in some of their 'operating modes'. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state-space is decomposed into the strongly observable part, the nonstrongly observable part and the unobservable part, to analyze the effect of the unknown inputs. A state observer based on high-order sliding-mode and Luenberger-like observers is proposed. For the case when the exact reconstruction of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The workability of the proposed method is illustrated by simulations.

Original language	English
Article number	6426455
Pages (from-to)	5499-5504
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426455
State	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

Keywords

High-order Sliding Modes
Linear Switched Systems
Non-minimum Phase
State Observers

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10.1109/CDC.2012.6426455

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title = "State estimation for linear switched systems with unstable invariant zeros and unknown inputs",

abstract = "In this paper the problem of continuous and discrete state estimation for a class of linear switched systems is studied. The class of systems under study can contain nonminimum phase zeros in some of their 'operating modes'. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state-space is decomposed into the strongly observable part, the nonstrongly observable part and the unobservable part, to analyze the effect of the unknown inputs. A state observer based on high-order sliding-mode and Luenberger-like observers is proposed. For the case when the exact reconstruction of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The workability of the proposed method is illustrated by simulations.",

keywords = "High-order Sliding Modes, Linear Switched Systems, Non-minimum Phase, State Observers",

author = "Hector Rios and Jorge Davila and Leonid Fridman and Denis Efimov",

year = "2012",

doi = "10.1109/CDC.2012.6426455",

language = "Ingl{\'e}s",

pages = "5499--5504",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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T1 - State estimation for linear switched systems with unstable invariant zeros and unknown inputs

AU - Rios, Hector

AU - Davila, Jorge

AU - Fridman, Leonid

AU - Efimov, Denis

PY - 2012

Y1 - 2012

N2 - In this paper the problem of continuous and discrete state estimation for a class of linear switched systems is studied. The class of systems under study can contain nonminimum phase zeros in some of their 'operating modes'. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state-space is decomposed into the strongly observable part, the nonstrongly observable part and the unobservable part, to analyze the effect of the unknown inputs. A state observer based on high-order sliding-mode and Luenberger-like observers is proposed. For the case when the exact reconstruction of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The workability of the proposed method is illustrated by simulations.

AB - In this paper the problem of continuous and discrete state estimation for a class of linear switched systems is studied. The class of systems under study can contain nonminimum phase zeros in some of their 'operating modes'. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state-space is decomposed into the strongly observable part, the nonstrongly observable part and the unobservable part, to analyze the effect of the unknown inputs. A state observer based on high-order sliding-mode and Luenberger-like observers is proposed. For the case when the exact reconstruction of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The workability of the proposed method is illustrated by simulations.

KW - High-order Sliding Modes

KW - Linear Switched Systems

KW - Non-minimum Phase

KW - State Observers

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U2 - 10.1109/CDC.2012.6426455

DO - 10.1109/CDC.2012.6426455

M3 - Artículo de la conferencia

AN - SCOPUS:84874280776

SN - 0743-1546

SP - 5499

EP - 5504

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426455

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

State estimation for linear switched systems with unstable invariant zeros and unknown inputs

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