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Original Articles

L2-optimal identification of MIMO errors-in-variables models from the v-gap geometrical interpretation

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Pages 898-905 | Received 21 Nov 2011, Accepted 17 Feb 2012, Published online: 05 Apr 2012

References

  • Agüero , JC and Goodwin , GC . 2008 . Identifiability of Errors in Variables Dynamic Systems . Automatica , 44 : 371 – 382 .
  • Coleman , T , Branch , MA and Grace , A . 1999 . Optimization Toobox for Use with MATLAB, 2nd version , Natick , MA : The MathWorks, Inc .
  • Date , P and Vinnicombe , G . 1999 . An Algorithm for Identification in the v-gap Metric . Proceedings of the 38th IEEE Conference on Decision and Control . 1999 . pp. 3230 – 3235 . Phoenix, Arizona , , USA
  • Date , P and Vinnicombe , G . 2004 . Algorithms for Worst Case Identification in H ∞ and in the v-gap Metric . Automatica , 40 : 995 – 1002 .
  • Diversi , R , Guidorzi , R and Soverini , U . 2007 . Maximum Likelihood Identification of Noisy Input–Output Models . Automatica , 43 : 464 – 472 .
  • Geng , L-H and Geng , L-Y . 2011 . L 2-optimal Identification of MIMO Errors-in-variables Models . Proceedings of the 2nd IEEE International Conference on Electrical and Control Engineering . 2011 . pp. 4548 – 4551 . Yichang , , China
  • Geng , L-H , Xiao , D-Y , Zhang , T and Song , J-Y . 2011a . Worst-case Identification of Errors-in-variables Models in Closed Loop . IEEE Transactions on Automatic Control , 56 : 762 – 771 .
  • Geng , L-H , Xiao , D-Y , Zhang , T , Song , J-Y and Che , Y-Q . 2011b . L 2-optimal Identification of Errors-in-variables Models Based on Normalised Coprime Factors . IET Control Theory and Applications , 5 : 1235 – 1242 .
  • Geng , L-H , Xiao , D-Y , Zhang , T and Song , J-Y . 2011c . Robust Control Oriented Identification of Errors-in-variables Models Based on Normalised Coprime Factors . International Journal of Systems Science , DOI: 10.1080/00207721.2011.554910
  • Gill , PE , Murray , W and Wright , MH . 1991 . Numerical Linear Algebra and Optimization , Vol. 1 , Redwood City , CA : Addison Wesley .
  • Green , M and Anderson , BDO . 1986 . Identification of Multivariable Errors in Variables Models with Dynamics . IEEE Transactions on Automatic Control , AC-31 : 467 – 471 .
  • Heuberger , PSC , Van den Hof , PMJ and Bosgra , OH . 1995 . A Generalised Orthonormal Basis for Linear Dynamical Systems . IEEE Transactions on Automatic Control , 40 : 451 – 465 .
  • Kaneko , O and Fujii , T . 2000 . Discrete-time Average Positivity and Spectral Factorisation in a Behavioural Framework . Systems and Control Letters , 39 : 31 – 44 .
  • Ljung , L . 1999 . System Identification: Theory for the User , Upper Saddle River , , NJ : Prentice Hall PTR .
  • Ljung , L and Söderström , T . 1983 . Theory and Practice of Recursive Identification , London : the MIT Press .
  • Mahata , K . 2007 . An Improved Bias-compensation Approach for Errors-in-variables Model Identification . Automatica , 43 : 1339 – 1354 .
  • Mahata , K and Garnier , H . 2006 . Identification of Continuous-time Errors-in-variables Models . Automatica , 42 : 1477 – 1490 .
  • Pintelon , R and Schoukens , J . 2001 . System Identification: A Frequency Domain Approach , Piscataway , NJ : IEEE Press .
  • Pintelon , R and Schoukens , J . 2007 . Frequency Domain Maximum Likelihood Estimation of Linear Dynamic Errors-in-variables Models . Automatica , 43 : 621 – 630 .
  • Roorda , B and Heij , C . 1995 . Global Total Least Squares Modelling of Multivariable Time Series . IEEE Transactions on Automatic Control , 40 : 50 – 63 .
  • Schachermayer , W and Deistler , M . 1998 . The Set of Observationally Equivalent Errors-in-variables Models . Systems and Control Letters , 34 : 101 – 104 .
  • Schittowski , K . 1985 . NlQPL: A FORTRAN-subroutine Solving Constrained Nonlinear Programming Problems . Annals of Operations Research , 5 : 485 – 500 .
  • Söderström , T . 2007 . Errors-in-variables Methods in System Identification . Automatica , 43 : 939 – 958 .
  • Song , Q-J and Chen , H-F . 2008 . Identification of Errors-in-variables Systems with ARMA Observation Noises . Systems and Control Letters , 57 : 420 – 424 .
  • Thil , S , Garnier , H and Gilson , M . 2008 . Third-order Cumulants Based Methods for Continuous-time Errors-in-variables Model Identification . Automatica , 44 : 647 – 658 .
  • Viberg , M . 1995 . Subspace-based Methods for the Identification of Linear Time-invariant Systems . Automatica , 31 : 1835 – 1851 .
  • Vinnicombe , G . 1993 . Frequency Domain Uncertainty and the Graph Topology . IEEE Transactions on Automatic Control , 38 : 1371 – 1383 .
  • Zheng , WX . 2002 . A Bias Correction Method for Identification of Linear Dynamic Errors-in-variables Models . IEEE Transactions on Automatic Control , 47 : 1142 – 1147 .
  • Zhou , K , Doyle , JC and Glover , K . 1996 . Robust and Optimal Control , Upper Saddle River , NJ : Prentice-Hall .

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