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Original Articles

Newton method based iterative learning control for discrete non-linear systems

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Pages 1263-1276 | Received 16 Jan 2006, Accepted 22 May 2006, Published online: 20 Feb 2007

References

  • Amann , N , Owens , DH and Rogers , E . 1996a . “Iterative learning control using optimal feedback and feedforward actions” . Int. J. Contr. , 65 : 277 – 293 .
  • Amann , N , Owens , DH and Rogers , E . 1996b . “Iterative learning control for discrete-time systems with exponential rate of convergence” . IEE Proc. – Contr. Theory and Appl. , 143 : 217 – 224 .
  • Amann , N , Owens , DH and Rogers , E . 1998 . “Predictive optimal iterative learning control” . Int. J. Contr. , 69 : 203 – 226 .
  • Arimoto , S , Kawamura , S and Miyazaki , F . 1984a . “Bettering operation of robots by learning” . J. of Robot. Sys. , 1 : 123 – 140 .
  • Arimoto , S , Kawamura , S and Miyazaki , F . 1984b . “Iterative learning control for robot systems” . Proc. of IECON . 1984b , Tokyo, Japan. pp. 22 – 26 .
  • Avrachenkov , KE . 1998 . “Iterative learning control based on quasi-Newton methods” . Proc. of 37th IEEE Conf. on Decision and Control . 1998 , Tampa, FL, USA.
  • Bien , Z and Xu , J . 1998 . Iterative Learning Control: Analysis, Design, Integration and Applications , London : Kluwer Academic Publishers .
  • Chen , C and Hwang , J . 2005 . “Iterative learning control for position tracking of a pneumatic actuated X–Y table” . Contr. Eng. Prac. , 13 ( 12 ) : 1455 – 1461 .
  • Chien , C . 1998 . “A discrete iterative learning control for a class of nonlinear time-varying systems” . IEEE Trans. on Autom. Contr. , 43 : 748 – 752 .
  • Choi , C and Jeong , G . 2001 . “Perfect tracking for maximum-phase nonlinear systems by iterative learning control” . Int. J. Sys. Sci. , 32 : 1177 – 1183 .
  • Du , H , Hu , M , Xie , J and Ling , S . 2005 . “Control of an electrostrictive actuator using Newton's method” . Prec. Eng. , 29 ( 3 ) : 375 – 380 .
  • Economou , CG , Morari , M and Palsson , BO . 1986 . “Internal model control: 5. Extention to nonlinear systems” . Indus. Eng. Chem.: Process Des. Develop. , 25 : 403 – 411 .
  • French , M , Rogers , E , Wibowo , H and Owens , DH . 2001 . “A 2D systems approach to iterative learning control based on nonlinear adaptive control techniques” . in Proc. of the IEEE Int. Symposium on Circuits and Systems (ISCAS 2001) , vol. 2 : II429 – II432 .
  • Hätönen , J , Harte , T , Owens , DH , Ratcliffe , J , Lewin , P and Rogers , E . 2003 . “A new robust iterative learning control algorithm for application on a gantry robot” . Proc. of the IEEE Conf. on Emerging Technologies in Factory Automation (ETFA03) . 2003 , Portugal. pp. 305 – 312 .
  • Hu , M , Du , H , Ling , S , Zhou , Z and Li , Y . 2004 . “Motion control of an electrostrictive actuator” . Mechatronics , 14 : 153 – 161 .
  • Ortega , JM and Rheinboldt , WC . 1970 . Iterative Solution of a Nonlinear Equation in Several Variables , London : Academic Press .
  • Owens , DH and Hätönen , J . 2005 . “Iterative learning control — an optimization paradigm” . Ann. Rev. Contr. , 29 : 57 – 70 .
  • Owens , DH , Amann , N , Rogers , E and French , M . 2000 . “Analysis of linear iterative learning control schemes — 2D systems/repetitive processes approach” . Multidimensional Sys. Sig. Process. , 11 : 125 – 177 .
  • Wang , D . 1998 . “Convergence and robustness of discrete time nonlinear systems with iterative learning control” . Automatica , 34 : 1445 – 1448 .
  • Xiong , Z and Zhang , J . 2004 . “Batch-to-batch optimal control of nonlinear batch processes based on incrementally updated models” . IEE Proc. — Contr. Theory Appl. , 151 : 158 – 165 .
  • Xu , J . 1997 . “Analysis of iterative learning control for a class of nonlinear discrete-time systems” . Automatica , 33 : 1905 – 1907 .
  • Xu , J and Tan , Y . 2002a . “On the P-type and Newton-type ILC Scheme for dynamic systems with non-affine-in-input factors” . Automatica , 38 : 1237 – 1242 .
  • Xu , J and Tan , Y . 2002b . “Robust optimal design and convergence properties analysis of iterative learning control approaches” . Automatica , 38 : 1867 – 1880 .

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