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In this paper, for the fault detection of a single-input single-output (SISO) system, we define a concept of matching chaotic stimulation with a measured system, establish a criterion of matching chaotic stimulation with a measured system, and propose a method of adjusting the matching of chaotic stimulation with a measured system. Finally, the improved prediction error is used to detect faults in the SISO system. The simulation results show that matched chaotic stimulation can be used to detect faults effectively, while unmatched ones can add uncertainty into the fault detection.
[1] Ma H G, Zhu X F, Xu J F, Ai M S 2008 J. Franklin. I. 345 75
[2] Wang G Y, Bao X L, Wang Z L 2008 Chin. Phys. B 17 3596
[3] Wang G Y, He H L 2008 Chin. Phys. B 17 4014
[4] Logan D, Mathew J 1996 Mech. Syst. Signal Pr. 10 241
[5] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[6] Mandelbrot B B 1985 Phys. Scripta 32 257
[7] Nichols J M, Todd M D, Wait J R 2003 Smart. Mater. Struct. 12 580
[8] Todd M D, Erickson K, Chang L, Lee K, Nichols J M 2004 Chaos 14 387
[9] Xia H C, Zhan Y Q 2004 Acta Phys. Sin. 53 1299 (in Chinese) [夏恒超, 詹永麒 2004 物理学报 53 1299]
[10] Nichols J M, Trickey S T, Todd M D, Virgin L N 2003 Mechanica 38 239
[11] Nichols J M, Nichols C J, Todd M D, Seaver M, Trickey S T, Virgin L N 2004 Smart. Mater. Struct. 13 241
[12] Torkamani S, Butcher E A, Todd M D, Park G 2011 Smart Mater. Struct. 20 025006
[13] Farmer J D, Ott E, Yorke J A 1983 Physica D 7 153
[14] Nichols J M, Todd M D, Seaver M, Trickey S T, Pecora L M, Moniz L 2003 P. Natl. Acad. Sci. USA 100 15299
[15] Schreiber T 1997 Phys. Rev. Lett. 78 843
[16] Nichols J M, Todd M D, Seaver M, Virgin L N 2003 Phys. Rev. E 67 016209
[17] Olson C C, Overbey L A, Todd M D 2009 Mech. Syst. Signal Pr. 23 344
[18] Lorenz E N 1963 J. Atmos. Sci. 20 130
[19] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[20] Briggs K 1990 Phys. Lett. A 151 27
[21] Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 129 (in Chinese) [王兴元, 王明军 2007 物理学报 56 129]
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[1] Ma H G, Zhu X F, Xu J F, Ai M S 2008 J. Franklin. I. 345 75
[2] Wang G Y, Bao X L, Wang Z L 2008 Chin. Phys. B 17 3596
[3] Wang G Y, He H L 2008 Chin. Phys. B 17 4014
[4] Logan D, Mathew J 1996 Mech. Syst. Signal Pr. 10 241
[5] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[6] Mandelbrot B B 1985 Phys. Scripta 32 257
[7] Nichols J M, Todd M D, Wait J R 2003 Smart. Mater. Struct. 12 580
[8] Todd M D, Erickson K, Chang L, Lee K, Nichols J M 2004 Chaos 14 387
[9] Xia H C, Zhan Y Q 2004 Acta Phys. Sin. 53 1299 (in Chinese) [夏恒超, 詹永麒 2004 物理学报 53 1299]
[10] Nichols J M, Trickey S T, Todd M D, Virgin L N 2003 Mechanica 38 239
[11] Nichols J M, Nichols C J, Todd M D, Seaver M, Trickey S T, Virgin L N 2004 Smart. Mater. Struct. 13 241
[12] Torkamani S, Butcher E A, Todd M D, Park G 2011 Smart Mater. Struct. 20 025006
[13] Farmer J D, Ott E, Yorke J A 1983 Physica D 7 153
[14] Nichols J M, Todd M D, Seaver M, Trickey S T, Pecora L M, Moniz L 2003 P. Natl. Acad. Sci. USA 100 15299
[15] Schreiber T 1997 Phys. Rev. Lett. 78 843
[16] Nichols J M, Todd M D, Seaver M, Virgin L N 2003 Phys. Rev. E 67 016209
[17] Olson C C, Overbey L A, Todd M D 2009 Mech. Syst. Signal Pr. 23 344
[18] Lorenz E N 1963 J. Atmos. Sci. 20 130
[19] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[20] Briggs K 1990 Phys. Lett. A 151 27
[21] Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 129 (in Chinese) [王兴元, 王明军 2007 物理学报 56 129]
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