Reliable control of discrete - Time systems via LEQG performance criteria

Der-Cherng Liaw; Chun Hone Chen

doi:10.1109/TENCON.2002.1182566

Reliable control of discrete - Time systems via LEQG performance criteria

Der-Cherng Liaw^*, Chun Hone Chen

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

In this study, results obtained by Veillette (1995) for continuous systems are extended to the study of Linear-Exponential-Quadratic-Gaussian (LEQG) type reliable control for discrete-time systems which can tolerate abnormal operation within some pre-specified set of actuators. This is achieved by suitable modification of the Algebraic Riccati Equation (ARE) for the design of the controller. Using the LEQG controller's Kalman gain, we show that, the stability of the overall system is preserved despite the abnormal operation of actuators within a pre-specified subset. The gain margin of the feedback gain for reliable stabilization is also derived, which is shown to agree with the one obtained by Veillette in 1995 for the continuous case when the sampling time is sufficiently small.

Original language	American English
Pages	1306-1309
Number of pages	4
DOIs	https://doi.org/10.1109/TENCON.2002.1182566
State	Published - 28 Oct 2002
Event	2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering - Beijing, China Duration: 28 Oct 2002 → 31 Oct 2002

Conference

Conference	2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering
Country/Territory	China
City	Beijing
Period	28/10/02 → 31/10/02

Keywords

Kalman filter
LEQG
Reliable control

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10.1109/TENCON.2002.1182566

Cite this

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title = "Reliable control of discrete - Time systems via LEQG performance criteria",

abstract = "In this study, results obtained by Veillette (1995) for continuous systems are extended to the study of Linear-Exponential-Quadratic-Gaussian (LEQG) type reliable control for discrete-time systems which can tolerate abnormal operation within some pre-specified set of actuators. This is achieved by suitable modification of the Algebraic Riccati Equation (ARE) for the design of the controller. Using the LEQG controller's Kalman gain, we show that, the stability of the overall system is preserved despite the abnormal operation of actuators within a pre-specified subset. The gain margin of the feedback gain for reliable stabilization is also derived, which is shown to agree with the one obtained by Veillette in 1995 for the continuous case when the sampling time is sufficiently small.",

keywords = "Kalman filter, LEQG, Reliable control",

author = "Der-Cherng Liaw and Chen, {Chun Hone}",

year = "2002",

month = oct,

day = "28",

doi = "10.1109/TENCON.2002.1182566",

language = "American English",

pages = "1306--1309",

note = "2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering ; Conference date: 28-10-2002 Through 31-10-2002",

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T1 - Reliable control of discrete - Time systems via LEQG performance criteria

AU - Liaw, Der-Cherng

AU - Chen, Chun Hone

PY - 2002/10/28

Y1 - 2002/10/28

N2 - In this study, results obtained by Veillette (1995) for continuous systems are extended to the study of Linear-Exponential-Quadratic-Gaussian (LEQG) type reliable control for discrete-time systems which can tolerate abnormal operation within some pre-specified set of actuators. This is achieved by suitable modification of the Algebraic Riccati Equation (ARE) for the design of the controller. Using the LEQG controller's Kalman gain, we show that, the stability of the overall system is preserved despite the abnormal operation of actuators within a pre-specified subset. The gain margin of the feedback gain for reliable stabilization is also derived, which is shown to agree with the one obtained by Veillette in 1995 for the continuous case when the sampling time is sufficiently small.

AB - In this study, results obtained by Veillette (1995) for continuous systems are extended to the study of Linear-Exponential-Quadratic-Gaussian (LEQG) type reliable control for discrete-time systems which can tolerate abnormal operation within some pre-specified set of actuators. This is achieved by suitable modification of the Algebraic Riccati Equation (ARE) for the design of the controller. Using the LEQG controller's Kalman gain, we show that, the stability of the overall system is preserved despite the abnormal operation of actuators within a pre-specified subset. The gain margin of the feedback gain for reliable stabilization is also derived, which is shown to agree with the one obtained by Veillette in 1995 for the continuous case when the sampling time is sufficiently small.

KW - Kalman filter

KW - LEQG

KW - Reliable control

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DO - 10.1109/TENCON.2002.1182566

M3 - Paper

AN - SCOPUS:0037661193

SP - 1306

EP - 1309

T2 - 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering

Y2 - 28 October 2002 through 31 October 2002

ER -

Reliable control of discrete - Time systems via LEQG performance criteria

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Keywords

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