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Adaptive Quasi-Decentralized MPC of Networked Process Systems

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Book cover Distributed Model Predictive Control Made Easy

Part of the book series: Intelligent Systems, Control and Automation: Science and Engineering ((ISCA,volume 69))

Abstract

This work presents a framework for quasi-decentralized model predictive control (MPC) design with an adaptive communication strategy. In this framework, each unit of the networked process system is controlled by a local control system for which the measurements of the local process state are available at each sampling instant. And we aim to minimize the cross communication between each local control system and the sensors of the other units via the communication network while preserving stability and certain level of control system performance. The quasi-decentralized MPC scheme is designed on the basis of distributed Lyapunov-based bounded control with sampled measurements and then the stability properties of each closed-loop subsystem are characterized. By using this obtained characterization, an adaptive communication strategy is proposed that forecasts the future evolution of the local process state within each local control system. Whenever the forecast shows signs of instability of the local process state, the measurements of the entire process state are transmitted to update the model within this particular control system to ensure stability; otherwise, the local control system will continue to rely on the model within the local MPC controller. The implementation of this theoretical framework is demonstrated using a simulated networked chemical process.

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Notes

  1. 1.

    A function \(\alpha (\cdot )\) is said to be of class \(\mathbf {K}\) if it is strictly increasing and \(\alpha (0)=0\).

References

  1. L. Acar, Ü. Özgüner, A completely decentralized suboptimal control strategy for moderately coupled interconnected systems, in Proc. American Control Conf., pp. 1521–1524, Atlanta (1988)

    Google Scholar 

  2. E. Camponogara, D. Jia, B. Krogh, S. Talukdar, Distributed model predictive control. IEEE Control Syst. Mag. 22(1), 44–52 (2002)

    Google Scholar 

  3. P.D. Christofides, N.H. El-Farra, Control of Nonlinear and Hybrid Process Systems: Designs for Uncertainty, Constraints and Time-Delays (Springer, Berlin/Heidelberg, 2005)

    Google Scholar 

  4. P.D. Christofides, J. Liu, D. Muñoz de la Peña, Networked and Distributed Predictive Control: Methods and Nonlinear Process Network Applications (Springer, London, 2011)

    Google Scholar 

  5. H. Cui, E.W. Jacobsen, Performance limitations in decentralized control. J. Process Control 12(4), 485–494 (2002)

    Google Scholar 

  6. R.A. Freeman, P.V. Kokotović, Robust Nonlinear Control Design: State-Space and Lyapunov Techniques (Birkhäuser, Boston, 1996)

    Google Scholar 

  7. M.R. Katebi, M.A. Johnson, Predictive control design for large-scale systems. Automatica 33(3), 421–425 (1997)

    Google Scholar 

  8. M. Krstić, H. Deng, Stabilization of Nonlinear Uncertain Systems, 1st edn. (Springer, Berlin, 1998)

    Google Scholar 

  9. P. Mhaskar, N.H. El-Farra, P.D. Christofides, Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Trans. Autom. Control 50(11), 1670–1680 (2005)

    Google Scholar 

  10. D. Muñoz de la Peña, P.D. Christofides, Lyapunov-based model predictive control of nonlinear systems subject to data losses. IEEE Trans. Autom. Control 53(9), 2076–2089 (2008)

    Google Scholar 

  11. N.R. Sandell, P. Varaiya, M. Athans, M.G. Safonov, Survey of decentralized control methods for large-scale systems. IEEE Trans. Autom. Control 23(2), 108–128 (1978)

    Google Scholar 

  12. R. Sepulchre, M. Janković, P. Kokotović, Constructive Nonlinear Control (Springer, Berlin/Heidelberg, 1997)

    Google Scholar 

  13. D.D. Šiljak, Decentralized Control of Complex Systems (Academic Press, London, 1991)

    Google Scholar 

  14. E.D. Sontag, Smooth stabilization implies coprime factorization. IEEE Trans. Autom. Control 34(4), 435–443 (1989)

    Google Scholar 

  15. Y. Sun, N.H. El-Farra, A quasi-decentralized approach for networked state estimation and control of process systems. Ind. Eng. Chem. Res.  49(17), 7957–7971 (2010)

    Google Scholar 

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Correspondence to Y. Hu .

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Hu, Y., El-Farra, N.H. (2014). Adaptive Quasi-Decentralized MPC of Networked Process Systems. In: Maestre, J., Negenborn, R. (eds) Distributed Model Predictive Control Made Easy. Intelligent Systems, Control and Automation: Science and Engineering, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7006-5_13

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  • DOI: https://doi.org/10.1007/978-94-007-7006-5_13

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7005-8

  • Online ISBN: 978-94-007-7006-5

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