Inversion control of nonlinear systems with neural network modelling

Access Full Text

Inversion control of nonlinear systems with neural network modelling

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

A method of controlling certain types of nonlinear dynamical systems whose dynamics can be modelled by a multilayer neural network is proposed. The control algorithm assumes that the plant equations are not known but the dimension of the system is known. The control input is derived by inversion of a forward neural network via the Newton Raphson method. During inversion of the multilayer neural network some optimal control senses are resolved. To suppress the control error due to the modelling error of the forward neural network, the inversion controller with a conventional feedback controller is proposed, which provides a better performance than a pure inversion controller. The proposed algorithm shows various advantages, and computer experiments on a bioreactor prove the effectiveness of this algorithm.

Inspec keywords: multilayer perceptrons; Jacobian matrices; feedback; nonlinear dynamical systems; digital simulation; Newton-Raphson method; optimal control

Other keywords: neural network modelling; nonlinear dynamical systems; inversion control; optimal control; bioreactor; multilayer neural network; Newton Raphson method

Subjects: Algebra; Neural computing techniques; Neural nets (theory); Optimal control; Nonlinear control systems; Numerical analysis; Interpolation and function approximation (numerical analysis); Control engineering computing; Algebra

References

    1. 1)
      • D.A. Hoskins , J.N. Hwang , J. Vagners . Iterative inversion of a neural network and its application to adaptivecontrol. IEEE Trans. Neural Netw. , 2 , 292 - 301
    2. 2)
      • D.E. Rumelhart , G.E. Hinton , R.J. Williams . Learning internal representations by error propagation. Parallel Dist. Process.
    3. 3)
      • G. CYBENKO . Approximation by superpositions of a sigmoidal function. Math. Control Signals Syst. , 303 - 314
    4. 4)
      • K. Hornik , M. Stinchcombe , H. White . Multilayer feedforward networks are universal approximators. Neural Netw. , 359 - 399
    5. 5)
      • H. Miyamoto , M. Kawato , T. Setoyama , R. Suzuki . Feedback-error-learning neural network for trajectory control of a roboticmanipulator. Neural Netw. , 251 - 265
    6. 6)
      • A. Behera , M. Gopal , S. Chaudhury . Inversion of RBF networks and applications to adaptive control of nonlinearsystems. IEE Proc. D , 6 , 617 - 624
    7. 7)
      • G. Lightbody , G.W. Irwin . Direct neural model reference adaptive control. IEE Proc. D , 1 , 31 - 43
    8. 8)
      • L.H. Ungar , T. Miller , W. Shutton , P.J. Werbos . (1990) A bioreactor benchmark problem for adaptive network-based process control, Neural networks for control.
    9. 9)
      • M. Iwata , S. Kitamura . An input tracking control systems and an input estimation system usinga feedforward model on neural network. Trans. Soc. Instrum. Control Eng. , 3 , 303 - 309
    10. 10)
      • M. Gupta , H. Rao . (1994) Neuro-control systems.
    11. 11)
      • K.J. Hunt , D. Sbárbaro , R. Zbikowsky , P.J. Gawthrop . Networks for control systems – a survey. Automatica , 6 , 1083 - 1112
    12. 12)
      • J.W. Lee , J.H. Oh . Hybrid learning of errors and Jacobian in multilayer perceptron neuralnetworks. Neural Comput. , 5 , 937 - 958
    13. 13)
      • Y.Y. Yang , D.A. Linkens . Adaptive neural network-based approach for the control of continuouslystirred tank reactor. IEE Proc. D , 5 , 341 - 349
    14. 14)
      • Gomi, H., Kawato, M.: `Learning control for a closed loop system using feedback error learning', Proceedings of 29th IEEE conference on Decision and control, 1990, p. 3289–3294.
    15. 15)
      • W.T. Miller , R.S. Sutton , P.J. Werbos . (1990) Neural networks for control.
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_19971360
Loading

Related content

content/journals/10.1049/ip-cta_19971360
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading