Approximate linearization of nonlinear systems: a neural network approach

作者: Hai-Long Pei , Qi-Jie Zhou , T.P. Leung

DOI: 10.1109/ISIC.1996.556242

关键词:

摘要: Recent researches show that neural networks have the ability to approximate a function as well its derivatives. This result offers promising opportunity introduce network theory into nonlinear system control. In this paper novel method of linearization with is proposed. The approximator designed integrate involutive equation no matter whether integrability condition satisfied or not. Simulation results feasible.

参考文章(13)
John Hauser, Richard M. Murray, Nonlinear controllers for non-integrable systems: the Acrobot example american control conference. pp. 669- 671 ,(1990) , 10.23919/ACC.1990.4790817
JEAN-JACQUES E. SLOTINE, J. KARL HEDRICK, Robust input-output feedback linearization International Journal of Control. ,vol. 57, pp. 1133- 1139 ,(1993) , 10.1080/00207179308934435
Arthur J. Krener, Approximate linearization by state feedback and coordinate change Systems & Control Letters. ,vol. 5, pp. 181- 185 ,(1984) , 10.1016/S0167-6911(84)80100-0
Kurt Hornik, Maxwell Stinchcombe, Halbert White, Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks Neural Networks. ,vol. 3, pp. 551- 560 ,(1990) , 10.1016/0893-6080(90)90005-6
Christopher I. Byrnes, Alberto Isidori, Local stabilization of minimum-phase nonlinear systems Systems & Control Letters. ,vol. 11, pp. 9- 17 ,(1988) , 10.1016/0167-6911(88)90105-3
L.R. Hunt, J. Turi, A new algorithm for constructing approximate transformations for nonlinear systems IEEE Transactions on Automatic Control. ,vol. 38, pp. 1553- 1556 ,(1993) , 10.1109/9.241575
Pierre Cardaliaguet, Guillaume Euvrard, Original Contribution: Approximation of a function and its derivative with a neural network Neural Networks. ,vol. 5, pp. 207- 220 ,(1992) , 10.1016/S0893-6080(05)80020-6
J. Hauser, S. Sastry, P. Kokotovic, Nonlinear control via approximate input-output linearization: the ball and beam example IEEE Transactions on Automatic Control. ,vol. 37, pp. 392- 398 ,(1992) , 10.1109/9.119645
FU-CHUANG CHEN, HASSAN K. KHALIL, Adaptive control of nonlinear systems using neural networks International Journal of Control. ,vol. 55, pp. 1299- 1317 ,(1992) , 10.1080/00207179208934286
Kurt Hornik, Maxwell Stinchcombe, Halbert White, Multilayer feedforward networks are universal approximators Neural Networks. ,vol. 2, pp. 359- 366 ,(1989) , 10.1016/0893-6080(89)90020-8