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Volumn 12, Issue 4, 2014, Pages 709-721

Mixed l-/l1 fault detection observer design for positive switched systems with time-varying delay via delta operator approach

Author keywords

Average dwell time; delta operator; fault detection; fault sensitivity; positive switched systems

Indexed keywords

DESIGN; LYAPUNOV FUNCTIONS; SWITCHING SYSTEMS; TIME VARYING CONTROL SYSTEMS;

EID: 84904643082     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-013-0466-1     Document Type: Article
Times cited : (48)

References (43)
  • 1
    • 33745617163 scopus 로고    scopus 로고
    • A positive systems model of TCP-like congestion control: Asymptotic results
    • 10.1109/TNET.2006.876178 2262977
    • R. Shorten, F. Wirth, and D. Leith, "A positive systems model of TCP-like congestion control: Asymptotic results," IEEE/ACM Trans. on Networking, vol. 14, no. 3, pp. 616-629, June 2006.
    • (2006) IEEE/ACM Trans. on Networking , vol.14 , Issue.3 , pp. 616-629
    • Shorten, R.1    Wirth, F.2    Leith, D.3
  • 2
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • 10.1109/TAC.2003.812781 1986266
    • A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. on Automatic Control, vol. 48, no. 6, pp. 988-1001, June 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 3
    • 67949086638 scopus 로고    scopus 로고
    • Constrained control of positive systems with delays
    • X. Liu, "Constrained control of positive systems with delays," IEEE Trans. on Automatic Control, vol. 54, no. 7, pp. 1596-1600, July 2009.
    • (2009) IEEE Trans. on Automatic Control , vol.54 , Issue.7 , pp. 1596-1600
    • Liu, X.1
  • 6
    • 39649086464 scopus 로고    scopus 로고
    • Positive observation problem for linear discrete positive systems
    • 10.1109/CDC.2006.377749
    • M. Rami and F. Tadeo, "Positive observation problem for linear discrete positive systems," Proc. of the 45th IEEE Conf. on Decision and Control, pp. 4729-4733, 2006.
    • (2006) Proc. of the 45th IEEE Conf. on Decision and Control , pp. 4729-4733
    • Rami, M.1    Tadeo, F.2
  • 7
    • 77955350346 scopus 로고    scopus 로고
    • Linear copositive Lyapunov functions for continuous-time positive switched systems
    • 10.1109/TAC.2010.2049918 2681294
    • E. Fornasini and M. E. Valcher, "Linear copositive Lyapunov functions for continuous-time positive switched systems," IEEE Trans. on Automatic Control, vol. 55, no. 8, pp. 1933-1937, August 2010.
    • (2010) IEEE Trans. on Automatic Control , vol.55 , Issue.8 , pp. 1933-1937
    • Fornasini, E.1    Valcher, M.E.2
  • 8
    • 67349220777 scopus 로고    scopus 로고
    • Stability analysis of switched positive systems: A switched linear co-positive Lyapunov function method
    • 10.1109/TCSII.2009.2019326
    • X. Liu, "Stability analysis of switched positive systems: A switched linear co-positive Lyapunov function method," IEEE Trans. on Circuits and Systems II: Express Briefs, vol. 56, no. 5, pp. 414-418, May 2009.
    • (2009) IEEE Trans. on Circuits and Systems II: Express Briefs , vol.56 , Issue.5 , pp. 414-418
    • Liu, X.1
  • 9
    • 67649601053 scopus 로고    scopus 로고
    • On linear copositive Lyapunov functions for sets of linear positive systems
    • 10.1016/j.automatica.2009.04.013 1185.93122 2879520
    • F. Knorn, O. Mason, and R. Shorten, "On linear copositive Lyapunov functions for sets of linear positive systems," Automatica, vol. 45, no. 8, pp. 1943-1947, August 2009.
    • (2009) Automatica , vol.45 , Issue.8 , pp. 1943-1947
    • Knorn, F.1    Mason, O.2    Shorten, R.3
  • 11
    • 84876688041 scopus 로고    scopus 로고
    • L1-induced norm and controller synthesis of positive systems
    • 10.1016/j.automatica.2013.02.023 3044017
    • X. Chen, J. Lam, P. Li, and Z. Shu, "L1-induced norm and controller synthesis of positive systems," Automatica, vol. 49, no. 5, pp. 1377-1385, May 2013.
    • (2013) Automatica , vol.49 , Issue.5 , pp. 1377-1385
    • Chen, X.1    Lam, J.2    Li, P.3    Shu, Z.4
  • 12
    • 84873148525 scopus 로고    scopus 로고
    • Stability, L1-gain and control synthesis for positive switched systems with time-varying delay
    • 1287.93078 3038011
    • M. Xiang and Z. Xiang, "Stability, L1-gain and control synthesis for positive switched systems with time-varying delay," Nonlinear Analysis: Hybrid Systems, vol. 9, no. 1, pp. 9-17, January 2013.
    • (2013) Nonlinear Analysis: Hybrid Systems , vol.9 , Issue.1 , pp. 9-17
    • Xiang, M.1    Xiang, Z.2
  • 13
    • 84893939451 scopus 로고    scopus 로고
    • Reliable L1 control of positive switched systems with time-varying delays
    • M. Xiang and Z. Xiang, "Reliable L1 control of positive switched systems with time-varying delays," Advances in Difference Equations, vol. 2013, no. 25, pp. 1-15, January 2013.
    • (2013) Advances in Difference Equations , vol.2013 , Issue.25 , pp. 1-15
    • Xiang, M.1    Xiang, Z.2
  • 14
    • 50249144559 scopus 로고    scopus 로고
    • State estimation for neural networks of neutral-type with interval time-varying delays
    • 10.1016/j.amc.2008.04.025 2451557
    • J. H. Park, O. M. Kwon, and S. M. Lee, "State estimation for neural networks of neutral-type with interval time-varying delays," Applied Mathematics and Computation, vol. 203, no. 1, pp. 217-223, September 2001.
    • (2001) Applied Mathematics and Computation , vol.203 , Issue.1 , pp. 217-223
    • Park, J.H.1    Kwon, O.M.2    Lee, S.M.3
  • 15
    • 77955087595 scopus 로고    scopus 로고
    • ∞ synchronization for uncertain neural networks with mixed time delays
    • 10.1109/TSMCB.2009.2024408
    • ∞ synchronization for uncertain neural networks with mixed time delays," IEEE Trans. on Systems, Man and Cybernetics Part B: Cybernetics, vol. 40, no. 1, pp. 173-185, February 2010.
    • (2010) IEEE Trans. on Systems, Man and Cybernetics Part B: Cybernetics , vol.40 , Issue.1 , pp. 173-185
    • Karimi, H.R.1    Gao, H.2
  • 16
    • 79960146746 scopus 로고    scopus 로고
    • Stability analysis of positive switched linear systems with delays
    • 10.1109/TAC.2011.2122710 2848281
    • X. Liu and C. Dang, "Stability analysis of positive switched linear systems with delays," IEEE Trans. on Automatic Control, vol. 56, no. 7, pp. 1684-1690, July 2011.
    • (2011) IEEE Trans. on Automatic Control , vol.56 , Issue.7 , pp. 1684-1690
    • Liu, X.1    Dang, C.2
  • 17
    • 84873446795 scopus 로고    scopus 로고
    • Stability and a class of switched positive linear time-delay systems
    • 10.1002/rnc.2777 1284.93208 3021606
    • X. Zhao, L. Zhang, and P. Shi, "Stability and a class of switched positive linear time-delay systems," International Journal of Robust and Nonlinear Control, vol. 23, no. 5, pp. 578-589, March 2013.
    • (2013) International Journal of Robust and Nonlinear Control , vol.23 , Issue.5 , pp. 578-589
    • Zhao, X.1    Zhang, L.2    Shi, P.3
  • 18
    • 84883366272 scopus 로고    scopus 로고
    • Observer design of switched positive systems with time-varying delays
    • 10.1007/s00034-013-9557-8 3100708
    • M. Xiang and Z. Xiang, "Observer design of switched positive systems with time-varying delays," Circuits, Systems, and Signal Processing, vol. 32, no. 5, pp. 2171-2184, October 2013.
    • (2013) Circuits, Systems, and Signal Processing , vol.32 , Issue.5 , pp. 2171-2184
    • Xiang, M.1    Xiang, Z.2
  • 19
    • 0031378596 scopus 로고    scopus 로고
    • Survey of robust residual generation and evaluation methods in observer-based fault detection systems
    • 10.1016/S0959-1524(97)00016-4
    • P. M. Frank and X. Ding, "Survey of robust residual generation and evaluation methods in observer-based fault detection systems," Journal of Process Control, vol. 7, no. 6, pp. 403-424, December 1997.
    • (1997) Journal of Process Control , vol.7 , Issue.6 , pp. 403-424
    • Frank, P.M.1    Ding, X.2
  • 20
    • 0034498417 scopus 로고    scopus 로고
    • Optimal thresholding for robust fault detection of uncertain Systems
    • 10.1002/1099-1239(20001215)10:14<1155: AID-RNC521>3.0.CO;2-V 0965.93059 1807820
    • F. Rambeaux, F. Hamelin, and D. Sauter, "Optimal thresholding for robust fault detection of uncertain Systems," International Journal of Robust and Nonlinear Control, vol. 10, no. 14, pp. 1155-1173, December 2000.
    • (2000) International Journal of Robust and Nonlinear Control , vol.10 , Issue.14 , pp. 1155-1173
    • Rambeaux, F.1    Hamelin, F.2    Sauter, D.3
  • 21
    • 37249081565 scopus 로고    scopus 로고
    • Fault detection for uncertain fuzzy systems: An LMI approach
    • 10.1109/TFUZZ.2007.894983
    • S. K. Nguang, P. Shi, and S. Ding, "Fault detection for uncertain fuzzy systems: an LMI approach," IEEE Trans. on Fuzzy Systems, vol. 15, no. 6, pp. 1251-1262, December 2007.
    • (2007) IEEE Trans. on Fuzzy Systems , vol.15 , Issue.6 , pp. 1251-1262
    • Nguang, S.K.1    Shi, P.2    Ding, S.3
  • 22
    • 75649113788 scopus 로고    scopus 로고
    • Robust fault detection for continuous-time switched delay systems: A linear matrix inequality approach
    • 10.1049/iet-cta.2008.0517 2605505
    • D. Wang, P. Shi, and W. Wang, "Robust fault detection for continuous-time switched delay systems: a linear matrix inequality approach," IET Control Theory & Applications, vol. 4, no. 1, pp. 100-108, January 2010.
    • (2010) IET Control Theory & Applications , vol.4 , Issue.1 , pp. 100-108
    • Wang, D.1    Shi, P.2    Wang, W.3
  • 23
    • 79958250864 scopus 로고    scopus 로고
    • Fault detection for discrete-time switched systems with interval time-varying delays
    • 10.1007/s12555-011-0223-2
    • B. Jiang, D. Du, and V. Cocquempot, "Fault detection for discrete-time switched systems with interval time-varying delays," International Journal of Control, Automation and Systems, vol. 9, no. 2, pp. 396-401, April 2011.
    • (2011) International Journal of Control, Automation and Systems , vol.9 , Issue.2 , pp. 396-401
    • Jiang, B.1    Du, D.2    Cocquempot, V.3
  • 25
    • 0032630378 scopus 로고    scopus 로고
    • Norm based design of fault detectors
    • 10.1080/002071799220704 0938.93529 1694917
    • M. L. Rank and H. Niemann, "Norm based design of fault detectors," International Journal of Control, vol. 72, no. 9, pp. 773-783, November 1999.
    • (1999) International Journal of Control , vol.72 , Issue.9 , pp. 773-783
    • Rank, M.L.1    Niemann, H.2
  • 26
    • 0034314668 scopus 로고    scopus 로고
    • A unified approach to the optimization of fault detection systems
    • 10.1002/1099-1115(200011)14:7<725: AID-ACS618>3.0.CO;2-Q 0983.93016
    • S. X. Ding, T. Jeinsh, P. M. Frank, and E. L. Ding, "A unified approach to the optimization of fault detection systems," International Journal of Adaptive Control and Signal Processing, vol. 14, no. 7, pp. 725-745, November 2000.
    • (2000) International Journal of Adaptive Control and Signal Processing , vol.14 , Issue.7 , pp. 725-745
    • Ding, S.X.1    Jeinsh, T.2    Frank, P.M.3    Ding, E.L.4
  • 28
    • 24944462280 scopus 로고    scopus 로고
    • An LMI approach to minimum sensitivity analysis with application to fault detection
    • 10.1016/j.automatica.2005.06.005 1087.93019 2168665
    • J. Liu, J. L. Wang, and G. H. Yang, "An LMI approach to minimum sensitivity analysis with application to fault detection," Automatica, vol. 41, no. 11, pp. 1995-2004, November 2005.
    • (2005) Automatica , vol.41 , Issue.11 , pp. 1995-2004
    • Liu, J.1    Wang, J.L.2    Yang, G.H.3
  • 29
    • 71949116485 scopus 로고    scopus 로고
    • Fault detection observer design in low frequency domain for linear timedelay systems
    • 10.3724/SP.J.1004.2009.01465 2654408
    • X. J. Li and G. H. Yang, "Fault detection observer design in low frequency domain for linear timedelay systems," Acta Automatica Sinica, vol. 35, no. 11, pp. 1465-1470, November 2009.
    • (2009) Acta Automatica Sinica , vol.35 , Issue.11 , pp. 1465-1470
    • Li, X.J.1    Yang, G.H.2
  • 30
    • 34547587575 scopus 로고    scopus 로고
    • ∞ fault detection observer design
    • 10.1016/j.automatica.2007.02.019 1128.93321 2327079
    • ∞ fault detection observer design," Automatica, vol. 43, no. 9, pp. 1656-1665, September 2007.
    • (2007) Automatica , vol.43 , Issue.9 , pp. 1656-1665
    • Wang, J.L.1    Yang, G.H.2    Liu, J.3
  • 32
    • 0022676060 scopus 로고
    • Rapprochement between continuous and discrete model reference adaptive control
    • 10.1016/0005-1098(86)90081-6 0614.93039
    • G. C. Goodwin, R. Lozano Leal, D. Q. Mayne, and R. H. Middleton, "Rapprochement between continuous and discrete model reference adaptive control," Automatica, vol. 22, no. 2, pp. 199-207, March 1986.
    • (1986) Automatica , vol.22 , Issue.2 , pp. 199-207
    • Goodwin, G.C.1    Lozano Leal, R.2    Mayne, D.Q.3    Middleton, R.H.4
  • 33
    • 0002050908 scopus 로고    scopus 로고
    • Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators
    • 10.1016/S0167-6911(00)00016-5 0977.93069 1827558
    • S. Chen, R. H. Istepanian, J. Wu, and J. Chu, "Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators," Systems & Control Letters, vol. 40, no. 3, pp. 153-163, July 2000.
    • (2000) Systems & Control Letters , vol.40 , Issue.3 , pp. 153-163
    • Chen, S.1    Istepanian, R.H.2    Wu, J.3    Chu, J.4
  • 34
    • 0028396196 scopus 로고
    • Delta operator formulated discrete-time approximations of continuous-time systems
    • 10.1109/9.280764 0813.93053 1268297
    • K. Premaratne, R. Salvi, N. R. Habib, and J. P. LeGall, "Delta operator formulated discrete-time approximations of continuous-time systems," IEEE Trans. on Automatic Control, vol. 39, no. 3, pp. 581-585, March 1994.
    • (1994) IEEE Trans. on Automatic Control , vol.39 , Issue.3 , pp. 581-585
    • Premaratne, K.1    Salvi, R.2    Habib, N.R.3    Legall, J.P.4
  • 35
    • 0022809661 scopus 로고
    • Improved finite word length characteristics in digital control using delta operators
    • 10.1109/TAC.1986.1104162 0608.93053
    • R. H. Middleton and G. C. Goodwin, "Improved finite word length characteristics in digital control using delta operators," IEEE Trans. on Automatic Control, vol. 31, no. 11, pp. 1015-1021, November 1986.
    • (1986) IEEE Trans. on Automatic Control , vol.31 , Issue.11 , pp. 1015-1021
    • Middleton, R.H.1    Goodwin, G.C.2
  • 36
    • 0027271782 scopus 로고
    • Properties of the delta operator model of dynamic physical systems
    • 10.1109/21.214791 0775.93172
    • C. P. Neuman, "Properties of the delta operator model of dynamic physical systems," IEEE Trans. on Systems, Man and Cybernetics, vol. 23, no. 1, pp. 296-301, February 1993.
    • (1993) IEEE Trans. on Systems, Man and Cybernetics , vol.23 , Issue.1 , pp. 296-301
    • Neuman, C.P.1
  • 38
    • 84869417450 scopus 로고    scopus 로고
    • Nonfragile observer design for nonlinear time delay systems using delta operator
    • R. Wang, J. Xing, P. Wang, and Q. Yang, "Nonfragile observer design for nonlinear time delay systems using delta operator," UKACC International Conference on Control, pp. 387-393, 2012.
    • (2012) UKACC International Conference on Control , pp. 387-393
    • Wang, R.1    Xing, J.2    Wang, P.3    Yang, Q.4
  • 39
    • 84897675220 scopus 로고    scopus 로고
    • Robust stabilization of discrete-time positive switched systems with uncertainties and average dwell time switching
    • 10.1007/s00034-013-9632-1 3159173
    • J. Zhang, Z. Han, H. Wu, and J. Huang, "Robust stabilization of discrete-time positive switched systems with uncertainties and average dwell time switching," Circuits, Systems, and Signal Processing, vol. 33, no. 1, pp. 71-95, January 2014.
    • (2014) Circuits, Systems, and Signal Processing , vol.33 , Issue.1 , pp. 71-95
    • Zhang, J.1    Han, Z.2    Wu, H.3    Huang, J.4
  • 40
    • 57149147432 scopus 로고    scopus 로고
    • Positive observers and dynamic output-feedback controllers for interval positive linear systems
    • 2517469
    • Z. Shu, J. Lam, H. Gao, B. Du, and L. Wu, "Positive observers and dynamic output-feedback controllers for interval positive linear systems," IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 55, no. 10, pp. 3209-3222, April 2008.
    • (2008) IEEE Trans. on Circuits and Systems I: Regular Papers , vol.55 , Issue.10 , pp. 3209-3222
    • Shu, Z.1    Lam, J.2    Gao, H.3    Du, B.4    Wu, L.5
  • 43
    • 0142184077 scopus 로고    scopus 로고
    • An LMI approach to worst case analysis for fault detection observers
    • J. Liu, J. L. Wang, and G. H. Yang, "An LMI approach to worst case analysis for fault detection observers," Proc. of the American Control Conference, pp. 2985-2990, 2003.
    • (2003) Proc. of the American Control Conference , pp. 2985-2990
    • Liu, J.1    Wang, J.L.2    Yang, G.H.3


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