A modified orthogonal forward regression least-squares algorithm for system modelling from noisy regressors

References

• Aguirre , LA and Billings , SA . 1995a . “Improved structure selection for nonlinear models based on term clustering” . Int. J. Contr. , 62 : 569 – 587 .
   Web of Science ®Google Scholar
• Aguirre , LA and Billings , SA . 1995b . “Retrieving dynamical invariants from chaotic data using narmax models” . Int. J. Bifurcation and Chaos , 5 : 449 – 474 .
   Google Scholar
• Balikhin , MA , Zhu , D and Billings , SA . 2005 . “Time domain identification of nonlinear systems: from the measurements to continuous differential equations” . In The 2005 Joint Assembly Meeting of AGU, SEG, NABS and SPD/AAS , New Orleans : Louisiana .
   Google Scholar
• Billings , SA , Fadzil , MB , Sulley , J and Johnson , PM . 1988a . “Identification of a nonlinear difference equation model of an industrial diesel generator” . Mech. Sys. Sig. Proc. , 2 : 59 – 76 .
   Web of Science ®Google Scholar
• Billings , SA , Korenberg , MJ and Chen , S . 1988b . “Identification of non-linear output-affine systems using an orthogonal least-squares algorithm” . Int. J. Syst. Sci. , 19 : 59 – 76 .
   Google Scholar
• Billings , SA , Chen , S and Kronenberg , MJ . 1989 . “Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator” . Int. J. Contr. , 49 : 2157 – 2189 .
   Web of Science ®Google Scholar
• Billings , SA , Chen , S and Backhouse , RJ . 1989 . “The identification of linear and nonlinear models of a turbocharged automotive diesel engine” . Mech. Sys. Sig. Proc. , 3 : 123 – 142 .
   Web of Science ®Google Scholar
• Billings , SA . 1986 . and W.S.F. Voon. “Correlation based model validity tests for nonlinear models” . Int. J. Cont. , 40 : 235 – 244 .
   Google Scholar
• Billings , SA and Zhu , QM . 1994 . “Nonlinear model validation using correlation tests” . Int. J. Cont. , 60 : 1107 – 1120 .
   Web of Science ®Google Scholar
• Chen , S , Billings , SA and Luo , W . 1989 . “Orthogonal least squares methods and their application to non-linear system identification” . Int. J. Cont. , 50 : 1873 – 1896 .
   Web of Science ®Google Scholar
• Coca , D and Billings , SA . 2001 . “Identification of coupled map lattice models of complex spatio-temporal pattern” . Phys. Lett. , A287 : 65 – 73 .
   Google Scholar
• Coca , D , Zheng , Y , Mayhew , J and Billings , SA . 2000 . “Nonlinear system identification and analysis of complex dynamical behaviour in reflected light measurements of vasomotion” . Int. J. Bifurcation and Chaos , 10 : 461 – 476 .
   Google Scholar
• Guo , LZ and Billings , SA . 2004 . “Identification of coupled map lattice models of stochastic spatio-temporal dynamics using wavelets” . Dynamic Systems , 19 : 265 – 278 .
   Web of Science ®Google Scholar
• Hong , X and Harris , CJ . 2001 . “Nonlinear model structure design and construction using orthogonal least squares and d-optimality design” . IEEE Trans. Neural Networks , 13 : 1245 – 1250 .
   Google Scholar
• Leontaritis , IJ and Billings , SA . 1987 . “Experimental design and identificability for nonlinear systems” . Int. J. Syst. Sci. , 18 : 189 – 202 .
   Web of Science ®Google Scholar
• Liu , JJ , Kung , IC and Chao , HC . 2001 . “Speed estimate of induction motor using a nonlinear identification technique” . In Proceedings of the National Science Council , Vol. 25 , 107 – 114 . Republic of China. Part A .
   Google Scholar
• Mao , KZ and Billings , SA . 1997 . “Algorithms for minimal model structure detection in nonlinear dynamic system identification” . Int. J. Cont. , 68 : 311 – 330 .
   Web of Science ®Google Scholar
• Mao , KZ and Billings , SA . 1999 . “Variable selection in nonlinear systems modelling” . Mech. Sys. Sig. Proc. , 13 : 351 – 366 .
   Web of Science ®Google Scholar
• Wei , HL , Billings , SA and Liu , J . 2004 . “Term and variable selection for nonlinear system identification” . Int. J. Cont. , 77 : 86 – 110 .
   Web of Science ®Google Scholar