Trajectory encoding for systems with irregular observations

Lawrence E. Holloway

doi:10.1016/0005-1098(94)00115-Y

Trajectory encoding for systems with irregular observations

Lawrence E. Holloway

Institute for Sustainable Manufacturing (ISM)

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

1 Scopus citations

Abstract

A relational modeling framework is presented for representing a class of uncertain hybrid dynamical systems exhibiting delayed, infrequent, and uncertain observations. The model defines ranges of possible state evolution, and consequently the system trajectories corresponding to a given observation sequence are typically nonunique. For monitoring and state estimation, it is infeasible to individually track each of the potentially infinite number of possible trajectories. This paper presents a method of encoding a family of trajectories in a graphical representation. Necessary and sufficient conditions are given for the existence of a finite encoding of system trajectories corresponding to received observation sequences.

Original language	English
Pages (from-to)	405-418
Number of pages	14
Journal	Automatica
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/0005-1098(94)00115-Y
State	Published - Mar 1995

Bibliographical note

Funding Information:
Acknowledgernenrs-The author thanks Professor Bruce Krogh for his contributionst o this work. This work was funded in part by Rockwell International,t he Ben Franklin PartnershipP rogramo f the Commonwealtho f Pennsylvania, NASA grantN GT-40049,a nd NSF grantE CS-9308737.

Keywords

System theory
hybrid dynamical systems
irregular observations
models
state estimation
uncertainty

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/0005-1098(94)00115-Y

Cite this

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abstract = "A relational modeling framework is presented for representing a class of uncertain hybrid dynamical systems exhibiting delayed, infrequent, and uncertain observations. The model defines ranges of possible state evolution, and consequently the system trajectories corresponding to a given observation sequence are typically nonunique. For monitoring and state estimation, it is infeasible to individually track each of the potentially infinite number of possible trajectories. This paper presents a method of encoding a family of trajectories in a graphical representation. Necessary and sufficient conditions are given for the existence of a finite encoding of system trajectories corresponding to received observation sequences.",

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note = "Funding Information: Acknowledgernenrs-The author thanks Professor Bruce Krogh for his contributionst o this work. This work was funded in part by Rockwell International,t he Ben Franklin PartnershipP rogramo f the Commonwealtho f Pennsylvania, NASA grantN GT-40049,a nd NSF grantE CS-9308737.",

year = "1995",

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AU - Holloway, Lawrence E.

N1 - Funding Information: Acknowledgernenrs-The author thanks Professor Bruce Krogh for his contributionst o this work. This work was funded in part by Rockwell International,t he Ben Franklin PartnershipP rogramo f the Commonwealtho f Pennsylvania, NASA grantN GT-40049,a nd NSF grantE CS-9308737.

PY - 1995/3

Y1 - 1995/3

N2 - A relational modeling framework is presented for representing a class of uncertain hybrid dynamical systems exhibiting delayed, infrequent, and uncertain observations. The model defines ranges of possible state evolution, and consequently the system trajectories corresponding to a given observation sequence are typically nonunique. For monitoring and state estimation, it is infeasible to individually track each of the potentially infinite number of possible trajectories. This paper presents a method of encoding a family of trajectories in a graphical representation. Necessary and sufficient conditions are given for the existence of a finite encoding of system trajectories corresponding to received observation sequences.

AB - A relational modeling framework is presented for representing a class of uncertain hybrid dynamical systems exhibiting delayed, infrequent, and uncertain observations. The model defines ranges of possible state evolution, and consequently the system trajectories corresponding to a given observation sequence are typically nonunique. For monitoring and state estimation, it is infeasible to individually track each of the potentially infinite number of possible trajectories. This paper presents a method of encoding a family of trajectories in a graphical representation. Necessary and sufficient conditions are given for the existence of a finite encoding of system trajectories corresponding to received observation sequences.

KW - System theory

KW - hybrid dynamical systems

KW - irregular observations

KW - models

KW - state estimation

KW - uncertainty

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VL - 31

SP - 405

EP - 418

JO - Automatica

JF - Automatica

IS - 3

ER -

Trajectory encoding for systems with irregular observations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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