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Research Papers

Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach

[+] Author and Article Information
M. R. Davoodi

Automation and Instruments Laboratory, Department of Electrical Engineering,  Tarbiat Modares University, Tehran 14115-111, Irandavoodi.eng@gmail.com

A. Golabi

Automation and Instruments Laboratory, Department of Electrical Engineering,  Tarbiat Modares University, Tehran 14115-111, Iranarash.golabi@gmail.com

H. A. Talebi

Department of Electrical Engineering,  Amirkabir University of Technology, Tehran 15875-4413, Iranalit@aut.ac.ir

H. R. Momeni1

Automation and Instruments Laboratory, Department of Electrical Engineering,  Tarbiat Modares University, Tehran 14115-111, Iranmomeni_h@modares.ac.ir

1

Corresponding author.

J. Dyn. Sys., Meas., Control 134(6), 061010 (Sep 13, 2012) (10 pages) doi:10.1115/1.4006372 History: Received July 24, 2011; Revised February 27, 2012; Published September 13, 2012; Online September 13, 2012

In this paper, the problem of simultaneous fault detection and control (SFDC) for linear switched systems in discrete- and continuous-time cases under a mixed H− /H∞ framework is considered. In essence, a single unit called detector/controller is designed, where the detector is an observer and the controller is an observer-based controller. The conventional mixed H− /H∞ problem is a conservative approach due to the selection of equal Lyapunov matrices. Extended linear matrix inequalities (LMIs) characterizations are used to reduce the conservativeness by the introduction of additional matrix variables, so as to eliminate the coupling of Lyapunov matrices with the system matrices. Indeed, the idea presented in this paper is based on the average dwell time (ADT) and conservatism reduction approaches, which lead to some sufficient conditions for solving the problem in terms of LMI feasibility conditions. Two examples are provided to demonstrate the effectiveness of the proposed method.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Switching signal

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Figure 2

Residual signal r(t)

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Figure 3

Regulated output z(t)

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Figure 4

The two-tank system

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Figure 5

Switching signal

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Figure 6

Residual signal r(t)

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Figure 7

Regulated output z(t)

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