Linear Hybrid Systems with Periodic Jumps: A Notion of Strong Observability and Strong Detectability

Hector Rios; Jorge Davila; Andrew R. Teel

doi:10.1109/TAC.2019.2940230

Linear Hybrid Systems with Periodic Jumps: A Notion of Strong Observability and Strong Detectability

Hector Rios, Jorge Davila, Andrew R. Teel

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Ticomán

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.

Original language	English
Article number	8827648
Pages (from-to)	2640-2646
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	65
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2019.2940230
State	Published - Jun 2020

Keywords

Hybrid invariant zeros
hybrid systems
strong detectability
strong observability

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10.1109/TAC.2019.2940230

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title = "Linear Hybrid Systems with Periodic Jumps: A Notion of Strong Observability and Strong Detectability",

abstract = "In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.",

keywords = "Hybrid invariant zeros, hybrid systems, strong detectability, strong observability",

author = "Hector Rios and Jorge Davila and Teel, {Andrew R.}",

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T2 - A Notion of Strong Observability and Strong Detectability

AU - Rios, Hector

AU - Davila, Jorge

AU - Teel, Andrew R.

PY - 2020/6

Y1 - 2020/6

N2 - In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.

AB - In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.

KW - Hybrid invariant zeros

KW - hybrid systems

KW - strong detectability

KW - strong observability

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SP - 2640

EP - 2646

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

M1 - 8827648

ER -

Linear Hybrid Systems with Periodic Jumps: A Notion of Strong Observability and Strong Detectability

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Keywords

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