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Volumn 8, Issue 7 B, 2012, Pages 5025-5044

Model reduction of switched systems based on switching generalized gramians

Author keywords

Gramian and stability; Model reduction; Switched systems

Indexed keywords

BALANCED REDUCTION; FREQUENCY INTERVALS; GENERAL METHOD; GRAMIANS; MODEL ORDER REDUCTION; MODEL REDUCTION; NUMERICAL EFFICIENCY; NUMERICAL EXAMPLE; NUMERICAL INSTABILITY; PETROV-GALERKIN; REDUCTION METHOD; SWITCHED LINEAR SYSTEM; SWITCHED SYSTEM;

EID: 84862313151     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (36)

References (45)
  • 2
    • 4544354870 scopus 로고    scopus 로고
    • A survey of model reduction by balanced truncation and some new results
    • S. Gugercin and A. Antoulas, A survey of model reduction by balanced truncation and some new results, International Journal of Control, vol.77, pp.748-766, 2004.
    • (2004) International Journal of Control , vol.77 , pp. 748-766
    • Gugercin, S.1    Antoulas, A.2
  • 3
    • 0242674368 scopus 로고    scopus 로고
    • A collection of benchmark examples for model reduction of linear time invariant dynamical systems
    • Y. Chahlaoui and P. van Dooren, A collection of benchmark examples for model reduction of linear time invariant dynamical systems, SLICOT Working Note, 2002.
    • (2002) SLICOT Working Note
    • Chahlaoui, Y.1    van Dooren, P.2
  • 6
    • 33749999526 scopus 로고    scopus 로고
    • Model simplification for switched hybrid systems
    • H. Gao, J. Lam and C. Wang, Model simplification for switched hybrid systems, Systems & Control Letters, vol.55, pp.1015-1021, 2006.
    • (2006) Systems & Control Letters , vol.55 , pp. 1015-1021
    • Gao, H.1    Lam, J.2    Wang, C.3
  • 7
    • 77955216714 scopus 로고    scopus 로고
    • Generalized gramian framework for model reduction of switched systems
    • Hungary
    • H. R. Shaker and R. Wisniewski, Generalized gramian framework for model reduction of switched systems, European Control Conference, Hungary, 2009.
    • (2009) European Control Conference
    • Shaker, H.R.1    Wisniewski, R.2
  • 9
    • 79960511790 scopus 로고    scopus 로고
    • Generalized gramian framework for model/controller order re-duction of switched systems
    • H. R. Shaker and R. Wisniewski, Generalized gramian framework for model/controller order re-duction of switched systems, International Journal of Systems Science, vol.42, no.8, pp.1277-1291, 2011.
    • (2011) International Journal of Systems Science , vol.42 , Issue.8 , pp. 1277-1291
    • Shaker, H.R.1    Wisniewski, R.2
  • 10
    • 77649201946 scopus 로고    scopus 로고
    • Switched systems reduction framework based on convex combina-tion of generalized gramians
    • H. R. Shaker and R. Wisniewski, Switched systems reduction framework based on convex combina-tion of generalized gramians, Journal of Control Science and Engineering, 2009.
    • (2009) Journal of Control Science and Engineering
    • Shaker, H.R.1    Wisniewski, R.2
  • 11
    • 79960505376 scopus 로고    scopus 로고
    • On exact/approximate reduction of dynamical systems living on piecwise linear partition
    • Vienna, Austria
    • H. R. Shaker and R. Wisniewski, On exact/approximate reduction of dynamical systems living on piecwise linear partition, IMACS IFAC Symposium on Mathematical Modelling, Vienna, Austria, 2009.
    • (2009) IMACS IFAC Symposium on Mathematical Modelling
    • Shaker, H.R.1    Wisniewski, R.2
  • 12
    • 57949103727 scopus 로고    scopus 로고
    • Weighted H-infinity model reduction for linear switched systems with time-varying delay
    • L. Wu and W. X. Zheng, Weighted H-infinity model reduction for linear switched systems with time-varying delay, Automatica, vol.45, pp.186-193, 2009.
    • (2009) Automatica , vol.45 , pp. 186-193
    • Wu, L.1    Zheng, W.X.2
  • 13
    • 60749084774 scopus 로고    scopus 로고
    • Fi-dependent model reduction for uncertain discrete-time switched linear systems with average dwell time
    • L. Zhang, E. Boukas and P. Shi, fi-dependent model reduction for uncertain discrete-time switched linear systems with average dwell time, International Journal of Control, vol.82, no.2, pp.378-388, 2009.
    • (2009) International Journal of Control , vol.82 , Issue.2 , pp. 378-388
    • Zhang, L.1    Boukas, E.2    Shi, P.3
  • 14
    • 56649099174 scopus 로고    scopus 로고
    • L2 L1 model reduction for switched LPV systems with average dwell time
    • L. Zhang and P. Shi, L2 L1 model reduction for switched LPV systems with average dwell time, IEEE Transactions on Automatic Control, vol.53, pp.2443-2448, 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 2443-2448
    • Zhang, L.1    Shi, P.2
  • 15
    • 55049112642 scopus 로고    scopus 로고
    • H1 model reduction for switched linear discrete-time systems with polytopic uncertainties
    • L. Zhang, P. Shi, E. Boukas and C. Wang, H1 model reduction for switched linear discrete-time systems with polytopic uncertainties, Automatica, vol.44, pp.2944-2949, 2008.
    • (2008) Automatica , vol.44 , pp. 2944-2949
    • Zhang, L.1    Shi, P.2    Boukas, E.3    Wang, C.4
  • 16
    • 0043013342 scopus 로고    scopus 로고
    • H1 model reduction of Markovian jump linear systems
    • L. Zhang, B. Huang and J. Lam, H1 model reduction of Markovian jump linear systems, Systems & Control Letters, vol.50, pp.103-118, 2003.
    • (2003) Systems & Control Letters , vol.50 , pp. 103-118
    • Zhang, L.1    Huang, B.2    Lam, J.3
  • 17
    • 56549107722 scopus 로고    scopus 로고
    • Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities
    • L. Zhang, E. Boukas and J. Lam, Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities, IEEE Transactions on Automatic Control, vol.53, pp.2458-2464, 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 2458-2464
    • Zhang, L.1    Boukas, E.2    Lam, J.3
  • 18
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • B. C. Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE Transactions on Automatic Control, vol.26, pp.17-32, 1981.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , pp. 17-32
    • Moore, B.C.1
  • 20
    • 9644310354 scopus 로고    scopus 로고
    • Structured coprime factor model reduction based on LMIs
    • L. Li and F. Paganini, Structured coprime factor model reduction based on LMIs, Automatica, vol.41, pp.145-151, 2005.
    • (2005) Automatica , vol.41 , pp. 145-151
    • Li, L.1    Paganini, F.2
  • 21
    • 0021641650 scopus 로고
    • Model reduction with balanced realizations: An error bound and a frequency weighted generalization
    • Las Vegas
    • D. F. Enns, Model reduction with balanced realizations: An error bound and a frequency weighted generalization, IEEE Conference on Decision and Control, Las Vegas, pp.127-132, 1984.
    • (1984) IEEE Conference on Decision and Control , pp. 127-132
    • Enns, D.F.1
  • 22
    • 0032594194 scopus 로고    scopus 로고
    • A new frequency weighted balanced truncation method and an error bound
    • G. Wang, V. Sreeram and W. Q. Liu, A new frequency weighted balanced truncation method and an error bound, IEEE Transactions on Automatic Control, vol.44, pp.1734-1737, 1999.
    • (1999) IEEE Transactions on Automatic Control , vol.44 , pp. 1734-1737
    • Wang, G.1    Sreeram, V.2    Liu, W.Q.3
  • 23
    • 23944507612 scopus 로고    scopus 로고
    • Frequency weighted model reduction technique with error bounds
    • Portland, OR, USA
    • V. Sreeram and A. Ghafoor, Frequency weighted model reduction technique with error bounds, American Control Conference, Portland, OR, USA, 2005.
    • (2005) American Control Conference
    • Sreeram, V.1    Ghafoor, A.2
  • 25
    • 0034205665 scopus 로고    scopus 로고
    • Model reduction of discrete linear systems via frequency domain bal-anced realization
    • D. Wang and A. Zilouchian, Model reduction of discrete linear systems via frequency domain bal-anced realization, IEEE Trans. Circuits Syst. I: Fund. Theory Appl., vol.47, no.6, pp.830-837, 2000.
    • (2000) IEEE Trans. Circuits Syst. I: Fund. Theory Appl. , vol.47 , Issue.6 , pp. 830-837
    • Wang, D.1    Zilouchian, A.2
  • 27
    • 0023288081 scopus 로고
    • Computation of balancing transformations and other applications of simultaneous diagonalization algorithms
    • A. J. Laub, M. T. Heath, C. C. Page and R. C. Ward, Computation of balancing transformations and other applications of simultaneous diagonalization algorithms, IEEE Transactions on Automatic Control, vol.32, pp.115-122, 1987.
    • (1987) IEEE Transactions on Automatic Control , vol.32 , pp. 115-122
    • Laub, A.J.1    Heath, M.T.2    Page, C.C.3    Ward, R.C.4
  • 30
    • 0036857323 scopus 로고    scopus 로고
    • Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach
    • J. Daafouz, P. Riedinger and C. Iung, Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach, IEEE Transactions on Automatic Control, vol.47, no.11, pp.1883-1887, 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.11 , pp. 1883-1887
    • Daafouz, J.1    Riedinger, P.2    Iung, C.3
  • 31
    • 61349147303 scopus 로고    scopus 로고
    • Stability and stabilizability of switched linear systems: A survey of recent results
    • H. Lin and P. J. Antsaklis, Stability and stabilizability of switched linear systems: A survey of recent results, IEEE Transactions on Automatic Control, vol.54, no.2, pp.308-322, 2009.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.2 , pp. 308-322
    • Lin, H.1    Antsaklis, P.J.2
  • 32
    • 52449083358 scopus 로고    scopus 로고
    • Model reduction of linear systems using extended balanced truncation
    • Seattle, Washington, USA
    • H. Sandberg, Model reduction of linear systems using extended balanced truncation, American Control Conference, Seattle, Washington, USA, 2008.
    • (2008) American Control Conference
    • Sandberg, H.1
  • 34
    • 77956458534 scopus 로고    scopus 로고
    • Plug and play control: Control technology towards new challenges
    • J. Stoustrup, Plug and play control: Control technology towards new challenges, European Journal of Control, vol.15, no.3-4, pp.311-330, 2009.
    • (2009) European Journal of Control , vol.15 , Issue.3-4 , pp. 311-330
    • Stoustrup, J.1
  • 36
    • 41549139354 scopus 로고    scopus 로고
    • Frequency domain balanced stochastic truncation for continuous and discrete time systems
    • H. R. Shaker, Frequency domain balanced stochastic truncation for continuous and discrete time systems, Int. J. of Control, Automation and Systems, vol.6, no.2, pp.180-185, 2008.
    • (2008) Int. J. of Control, Automation and Systems , vol.6 , Issue.2 , pp. 180-185
    • Shaker, H.R.1
  • 37
    • 61349114949 scopus 로고    scopus 로고
    • Frequency-domain generalized singular perturbation method for relative error model order reduction
    • H. R. Shaker, Frequency-domain generalized singular perturbation method for relative error model order reduction, Control Theory Appl., vol.7, no.1, pp.57-62, 2009.
    • (2009) Control Theory Appl. , vol.7 , Issue.1 , pp. 57-62
    • Shaker, H.R.1
  • 38
    • 84862322095 scopus 로고    scopus 로고
    • Model reduction via time-interval balanced stochastic truncation for linear time invariant systems
    • M. Tahavori and H. R. Shaker, Model reduction via time-interval balanced stochastic truncation for linear time invariant systems, International Journal of Systems Science, 2011.
    • (2011) International Journal of Systems Science
    • Tahavori, M.1    Shaker, H.R.2
  • 40
    • 77649292084 scopus 로고    scopus 로고
    • Stability of a class of switched linear systems with uncertainties and average dwell time switching
    • L. Zhang and B. Jiang, Stability of a class of switched linear systems with uncertainties and average dwell time switching, International Journal of Innovative Computing, Information and Control, vol.6, no.2, pp.667-676, 2010.
    • (2010) International Journal of Innovative Computing, Information and Control , vol.6 , Issue.2 , pp. 667-676
    • Zhang, L.1    Jiang, B.2
  • 43
    • 79956069807 scopus 로고    scopus 로고
    • Fault-tolerant control based on hybrid redundancy and its application to a chemical reactor
    • M. Takahashi and T. Takagi, Fault-tolerant control based on hybrid redundancy and its application to a chemical reactor, ICIC Express Letters, vol.5, no.6, pp.1809-1814, 2011.
    • (2011) ICIC Express Letters , vol.5 , Issue.6 , pp. 1809-1814
    • Takahashi, M.1    Takagi, T.2
  • 44
    • 85008581310 scopus 로고    scopus 로고
    • Power stage design of fourth-order DC-DC converters by means of principal components analysis
    • A. D. Nardo, N. Femia, M. Nicolfio, G. Petrone and G. Spagnuolo, Power stage design of fourth-order DC-DC converters by means of principal components analysis, IEEE Transactions on Power Electronics, vol.23, no.6, pp.2867-2877, 2008.
    • (2008) IEEE Transactions on Power Electronics , vol.23 , Issue.6 , pp. 2867-2877
    • Nardo, A.D.1    Femia, N.2    Nicolfio, M.3    Petrone, G.4    Spagnuolo, G.5
  • 45
    • 0033097889 scopus 로고    scopus 로고
    • Balanced realization and model reduction for unstable systems
    • K. Zhou, G. Salomon and E. Wu, Balanced realization and model reduction for unstable systems, Int. J. Robust and Nonlinear Control, vol.9, pp.183-198, 1999.
    • (1999) Int. J. Robust and Nonlinear Control , vol.9 , pp. 183-198
    • Zhou, K.1    Salomon, G.2    Wu, E.3


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