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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November 2012
Research-Article
Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach
M. R. Davoodi,
A. Golabi,
A. Golabi
e-mail: arash.golabi@gmail.com
Automation and Instruments Laboratory,
Department of Electrical Engineering,
Automation and Instruments Laboratory,
Department of Electrical Engineering,
Tarbiat Modares University
,Tehran 14115-111, Iran
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H. A. Talebi,
H. A. Talebi
Department of Electrical Engineering,
e-mail: alit@aut.ac.ir
Amirkabir University of Technology
,Tehran 15875-4413, Iran
e-mail: alit@aut.ac.ir
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H. R. Momeni
H. R. Momeni
1
Automation and Instruments Laboratory,
Department of Electrical Engineering,
e-mail: momeni_h@modares.ac.ir
Department of Electrical Engineering,
Tarbiat Modares University
,Tehran 14115-111, Iran
e-mail: momeni_h@modares.ac.ir
1Corresponding author.
Search for other works by this author on:
M. R. Davoodi
e-mail: davoodi.eng@gmail.com
A. Golabi
e-mail: arash.golabi@gmail.com
Automation and Instruments Laboratory,
Department of Electrical Engineering,
Automation and Instruments Laboratory,
Department of Electrical Engineering,
Tarbiat Modares University
,Tehran 14115-111, Iran
H. A. Talebi
Department of Electrical Engineering,
e-mail: alit@aut.ac.ir
Amirkabir University of Technology
,Tehran 15875-4413, Iran
e-mail: alit@aut.ac.ir
H. R. Momeni
Automation and Instruments Laboratory,
Department of Electrical Engineering,
e-mail: momeni_h@modares.ac.ir
Department of Electrical Engineering,
Tarbiat Modares University
,Tehran 14115-111, Iran
e-mail: momeni_h@modares.ac.ir
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 24, 2011; final manuscript received February 27, 2012; published online September 13, 2012. Assoc. Editor: Warren E. Dixon.
J. Dyn. Sys., Meas., Control. Nov 2012, 134(6): 061010 (10 pages)
Published Online: September 13, 2012
Article history
Received:
July 24, 2011
Revision Received:
February 27, 2012
Citation
Davoodi, M. R., Golabi, A., Talebi, H. A., and Momeni, H. R. (September 13, 2012). "Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach." ASME. J. Dyn. Sys., Meas., Control. November 2012; 134(6): 061010. https://doi.org/10.1115/1.4006372
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