REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS: A RICCATI EQUATION APPROACH.

I. R. Petersen

REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS: A RICCATI EQUATION APPROACH.

I. R. Petersen^*

^*Corresponding author for this work

The Australian National University

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

1 Citation (Scopus)

Abstract

This paper presents a procedure for designing a reduced order observer and feedback control law to stabilize a given uncertain linear system. The uncertain systems are described by state equations containing unknown but bounded uncertain parameters. These parameters are allowed to be time-varying. The design procedure involves finding the solutions to two algebraic Riccati equations. The solutions to these Riccati equations are used to construct the required feedback gain and observer gain matrices. These solutions are used to form a quadratic Lyapunov function which is used to establish the stability of the closed loop system.

Original language	English
Title of host publication	National Conference Publication - Institution of Engineers, Australia
Publisher	Inst of Engineers
Pages	196-200
Number of pages	5
Edition	86 /4
ISBN (Print)	0858252996
Publication status	Published - 1986

Publication series

Name	National Conference Publication - Institution of Engineers, Australia
Number	86 /4
ISSN (Print)	0313-6922

Cite this

@inproceedings{e8d8ca4df88a49b2be20d578ffd0febf,

title = "REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS: A RICCATI EQUATION APPROACH.",

abstract = "This paper presents a procedure for designing a reduced order observer and feedback control law to stabilize a given uncertain linear system. The uncertain systems are described by state equations containing unknown but bounded uncertain parameters. These parameters are allowed to be time-varying. The design procedure involves finding the solutions to two algebraic Riccati equations. The solutions to these Riccati equations are used to construct the required feedback gain and observer gain matrices. These solutions are used to form a quadratic Lyapunov function which is used to establish the stability of the closed loop system.",

author = "Petersen, \{I. R.\}",

year = "1986",

language = "English",

isbn = "0858252996",

series = "National Conference Publication - Institution of Engineers, Australia",

publisher = "Inst of Engineers",

number = "86 /4",

pages = "196--200",

booktitle = "National Conference Publication - Institution of Engineers, Australia",

edition = "86 /4",

}

REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS: A RICCATI EQUATION APPROACH. / Petersen, I. R.
National Conference Publication - Institution of Engineers, Australia. 86 /4. ed. Inst of Engineers, 1986. p. 196-200 (National Conference Publication - Institution of Engineers, Australia; No. 86 /4).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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T1 - REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS

T2 - A RICCATI EQUATION APPROACH.

AU - Petersen, I. R.

PY - 1986

Y1 - 1986

N2 - This paper presents a procedure for designing a reduced order observer and feedback control law to stabilize a given uncertain linear system. The uncertain systems are described by state equations containing unknown but bounded uncertain parameters. These parameters are allowed to be time-varying. The design procedure involves finding the solutions to two algebraic Riccati equations. The solutions to these Riccati equations are used to construct the required feedback gain and observer gain matrices. These solutions are used to form a quadratic Lyapunov function which is used to establish the stability of the closed loop system.

AB - This paper presents a procedure for designing a reduced order observer and feedback control law to stabilize a given uncertain linear system. The uncertain systems are described by state equations containing unknown but bounded uncertain parameters. These parameters are allowed to be time-varying. The design procedure involves finding the solutions to two algebraic Riccati equations. The solutions to these Riccati equations are used to construct the required feedback gain and observer gain matrices. These solutions are used to form a quadratic Lyapunov function which is used to establish the stability of the closed loop system.

UR - https://www.scopus.com/pages/publications/0022883762

M3 - Conference Paper

AN - SCOPUS:0022883762

SN - 0858252996

T3 - National Conference Publication - Institution of Engineers, Australia

SP - 196

EP - 200

BT - National Conference Publication - Institution of Engineers, Australia

PB - Inst of Engineers

ER -

REDUCED ORDER OBSERVERS IN THE STABILIZATION OF UNCERTAIN SYSTEMS: A RICCATI EQUATION APPROACH.

Abstract

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