Set-valued estimation for nonlinear systems

Jeff S. Shamma; Kuang Yang Tu

Set-valued estimation for nonlinear systems

Jeff S. Shamma^*, Kuang Yang Tu

^*Corresponding author for this work

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

Abstract

A set-valued observer (SVO) produces a set of possible states based on output measurements and a priori models of exogenous disturbances and noises. A SVO can be constructed conceptually for nonlinear systems, however the set of possible state vectors does not take the form of polytopes as in the linear case. This paper considers an `extended SVO' which linearizes the system about the current state estimate trajectory and derives associated guaranteed convergence properties.

Original language	English (US)
Pages (from-to)	3007-3011
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	5
State	Published - 1997
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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title = "Set-valued estimation for nonlinear systems",

abstract = "A set-valued observer (SVO) produces a set of possible states based on output measurements and a priori models of exogenous disturbances and noises. A SVO can be constructed conceptually for nonlinear systems, however the set of possible state vectors does not take the form of polytopes as in the linear case. This paper considers an `extended SVO' which linearizes the system about the current state estimate trajectory and derives associated guaranteed convergence properties.",

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AU - Shamma, Jeff S.

AU - Tu, Kuang Yang

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AB - A set-valued observer (SVO) produces a set of possible states based on output measurements and a priori models of exogenous disturbances and noises. A SVO can be constructed conceptually for nonlinear systems, however the set of possible state vectors does not take the form of polytopes as in the linear case. This paper considers an `extended SVO' which linearizes the system about the current state estimate trajectory and derives associated guaranteed convergence properties.

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M3 - Article

AN - SCOPUS:0030703385

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VL - 5

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EP - 3011

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

ER -

Set-valued estimation for nonlinear systems

Abstract

ASJC Scopus subject areas

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