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Robust Model Predictive Control Using a Discrete-Time Recurrent Neural Network

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5263))

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Abstract

Robust model predictive control (MPC) has been investigated widely in the literature. However, for industrial applications, current robust MPC methods are too complex to employ. In this paper, a discrete-time recurrent neural network model is presented to solve the minimax optimization problem involved in robust MPC. The neural network has global exponential convergence property and can be easily implemented using simple hardware. A numerical example is provided to illustrate the effectiveness and efficiency of the proposed approach.

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References

  1. Camacho, E., Bordons, C.: Model Predictive Control. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  2. Mayne, D., Rawlings, J., Rao, C., Scokaert, P.: Constrained model predictive control: Stability and optimality. Automatica 36, 789–814 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  3. Zhang, Y., Wang, J.: A dual neural network for convex quadratic programming subject to linear equality and inequality constraints. Physics Letters A 298, 271–278 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Xia, Y., Feng, G., Wang, J.: A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations. Neural Networks 17, 1003–1015 (2004)

    Article  MATH  Google Scholar 

  5. Liu, S., Wang, J.: A simplified dual neural network for quadratic programming with its KWTA application. IEEE Trans. Neural Netw. 17, 1500–1510 (2006)

    Article  Google Scholar 

  6. Hu, X., Wang, J.: Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network. IEEE Trans. Neural Netw. 17, 1487–1499 (2006)

    Article  Google Scholar 

  7. Liu, Q., Wang, J.: A one-layer recurrent neural network with a discontinuous hard-limiting activation function for quadratic programming. IEEE Trans. Neural Netw. 19, 558–570 (2008)

    Article  Google Scholar 

  8. Tao, Q., Fang, T.: The neural network model for solving minimax problems with constraints. Control Theory Applicat. 17, 82–84 (2000)

    MATH  Google Scholar 

  9. Gao, X., Liao, L., Xue, W.: A neural network for a class of convex quadratic minimax problems with constraints. IEEE Trans. Neural Netw. 15, 622–628 (2004)

    Article  Google Scholar 

  10. Gao, X., Liao, L.: A novel neural network for a class of convex quadratic minimax problems. Neural Computation 18, 1818–1846 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  11. Bazaraa, M., Sherali, H., Shetty, C.: Nonlinear programming: theory and algorithms (1993)

    Google Scholar 

  12. Perez-Ilzarbe, M.: Convergence analysis of a discrete-time recurrent neural network toperform quadratic real optimization with bound constraints. IEEE Trans. Neural Netw. 9, 1344–1351 (1998)

    Article  Google Scholar 

  13. Tan, K., Tang, H., Yi, Z.: Global exponential stability of discrete-time neural networks for constrained quadratic optimization. Neurocomputing 56, 399–406 (2004)

    Article  Google Scholar 

  14. Alamo, T., Ramırez, D., Camacho, E.: Efficient implementation of constrained min–max model predictive control with bounded uncertainties: a vertex rejection approach. Journal of Process Control 15, 149–158 (2005)

    Google Scholar 

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Pan, Y., Wang, J. (2008). Robust Model Predictive Control Using a Discrete-Time Recurrent Neural Network. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_97

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_97

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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