Design of decoupled PI controllers for two-by-two systems

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Design of decoupled PI controllers for two-by-two systems

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The design of PI controllers for systems with interacting loops is discussed. It is advantageous to deal with the interaction at the loop level, because supervisory control seldom has sufficient bandwidth. A new scheme based on modified scalar PI design and static decoupling is developed, in which the frequency characteristic of the coupling between the lower-level loops is taken into account. This leads to a design method emphasising the trade-off between the individual loop performances and the interaction indices introduced in the paper. The controller is easily implemented, due to its simple configuration based on standard components. A useful observation is that the interaction can be reduced substantially by using set-point weighting. The method is applied to three examples, including a model of a new laboratory system called the quadruple-tank process.

Inspec keywords: predictive control; two-term control; control system synthesis; multivariable control systems

Other keywords: model predictive control; supervisory control; multivariable control problems; PI controllers

Subjects: Multivariable control systems; Control system analysis and synthesis methods

References

    1. 1)
      • P. GROSDIDIER , M. MORARI , B.R. HOLT . Closed-loop properties from steady-state gain information. Ind. Eng. Chem. Fundam. , 221 - 235
    2. 2)
      • S.J. QIN , T.A. BADGWELL , J.C. KANTOR . (1996) An overview of industrial model predictive control technology, Conference on chemical process control CPC V.
    3. 3)
      • PANAGOPOULOS, H.: `PID—Control, design, extension, application', 2000, PhD thesis, Lund University, Dept. of Automatic Control, Sweden.
    4. 4)
      • K.J. ÅSTRÖM . Limitations on control system performance. Eur. J. Control , 2 - 20
    5. 5)
      • PERSSON, P., ÅSTRÖM, K.J.: `Dominant pole design—a unified view of PID controller tuning', Preprints of 4th IFAC symposium on Adaptive systems in control and signal processing, 1992, Grenoble, France, p. 127–132.
    6. 6)
      • W.L. LUYBEN . (1990) , Process modeling, simulation, and control for chemical engineers.
    7. 7)
      • E.F. CAMACHO , C. BORDONS . (1999) , Model predictive control.
    8. 8)
      • E. BRISTOL . On a new measure of interaction for multivariable process control. IEEE Trans. Autom. Control
    9. 9)
      • LEE, Y., PARK, S., LEE, J.H.: `On interfacing model predictive controllers with low-level loops', Preprints of 14th World Congress of IFAC, 1999, Beijing, China, Vol. N, p. 313–318.
    10. 10)
      • T.N. CHANG , E.J. DAVISON . Steady-state interaction indices for decentralized unknown systems. Proceedings of IEEE conference on Decision and control , 881 - 887
    11. 11)
      • JOHANSSON, K.H.: `Interaction bounds in multivariable control systems', 14th International Federation of Automatic Control World Congress, 1999, Beijing, China, Extended version in Automatica, 2002.
    12. 12)
      • D.E. SEBORG , T.F. EDGAR , D.A. MELLICHAMP . (1989) , Process dynamics and control.
    13. 13)
      • S. ADUSUMILLI , D.E. RIVERA , S. DASH , K. TSAKALIS . (1998) Integrated MIMO identification and robust PID controller design through loop shaping, Proceedings of ACC.
    14. 14)
      • R.K. Wood , M.W. Berry . Terminal composition control of a binary distillation column. Chem. Eng. Sci. , 1707 - 1717
    15. 15)
      • T.J. M . (1983) , Interaction analysis: principles and applications.
    16. 16)
      • K.J. STRÖM , T. HÄGGLUND . (1995) , PID controllers: theory, design, and tuning.
    17. 17)
      • F.G. SHINSKY . (1981) , Controlling multivariable processes.
    18. 18)
      • S. SKOGESTAD , M. MORARI . Implications of large RGA elements on control performance. Ind. Eng. Chem. Res. , 2323 - 2330
    19. 19)
      • H.H. Rosenbrock . (1970) , State-space and multivariable theory.
    20. 20)
      • J.M. MACIEJOWSKI . (2000) , Predictive control with constraints.
    21. 21)
      • A. Niederlinski . A heuristic approach to the design of linear multivariable interacting control systems. Automatica , 691 - 701
    22. 22)
      • M.M. SERON , J.H. BRASLAVSKY , G.C. GOODWIN . (1997) , Fundamental limitations in filtering and control.
    23. 23)
      • K.J. Åström , H. Panagopoulos , T. Hägglund . Design of PI controllers based on non-convex optimization. Automatica , 5 , 585 - 601
    24. 24)
      • K.H. JOHANSSON . The quadruple-tank process—a multivariable laboratory process with an adjustable zero. IEEE Trans. Control Syst. Technol. , 3 , 456 - 465
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