Two-degree-of-freedom Controller Design for Uncertain Processes Using Input/output Linearization Control Technique

https://doi.org/10.22146/ajche.50039

Pisit Sukkarnkha(1*), Chanin Panjapornpon(2)

(1) Center for Petroleum, Petrochemicals, and Advanced Materials, Department of Chemical Engineering, Faculty of Engineering, Kasetsart University, Bangkok, 10900, Thailand
(2) Center for Petroleum, Petrochemicals, and Advanced Materials, Department of Chemical Engineering, Faculty of Engineering, Kasetsart University, Bangkok, 10900, Thailand
(*) Corresponding Author

Abstract


In this work, a new control method for uncertain processes is developed based on two-degree-of-freedom control structure. The setpoint tracking controller designed by input/output linearization technique is used to regulate the disturbance-free output and the disturbance rejection controller designed is designed by high-gain technique. The advantage of two-degree-of-freedom control structure is that setpoint tracking and load disturbance rejection controllers can be designed separately. Open-loop observer is applied to provide disturbance-free response for setpoint tracking controller. The process/disturbance-free model mismatches are fed to the disturbance rejection controller for reducing effect of disturbance. To evaluate the control performance, the proposed control method is applied through the example of a continuous stirred tank reactor with unmeasured input disturbances and random noise kinetic parametric uncertainties. The simulation results show that both types of disturbances can be effectively compensated by the proposed control method.

Keywords


Two-degree-of-freedom control, Input/output linearization, High-gain compensator, Control of uncertain process, Input uncertainty, Parameter uncertainty

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References

  1. M.H. Tsai and P.C. Tung: A disturbance reduction scheme for linear small delay systems with modeling uncertainties, Journal of Process Control (2010).
  2. K.L. Wu, C.C. Yu, and Y.C. Cheng: A two degree of freedom level control, Journal of Process Control, 311–319 (2001) 11.
  3. W. Tan: Analysis and design of a double two-degree-of-freedom control scheme, ISA transactions 311-317 (2010) 49.
  4. T. Liu, W. Zhang, and D. Gu: Analytical design of two-degree-of-freedom control scheme for open-loop unstable processes with time delay, Journal of Process Control, 559–572 (2005) 15.
  5. T. Liu, W. Zhang, and F. Gao: Analytical Two-Degrees-of-Freedom (2-DOF) Decoupling Control Scheme for Multiple-Input-Multiple-Output (MIMO) Processes with Time Delays, Ind. Eng. Chem. Res, 6546–6557 (2007) 46.
  6. T. Liu, D. Gu, and W. Zhang: Decoupling two-degree-of-freedom control strategy for cascade control systems, Journal of Process Control, 159–167 (2005) 15.
  7. J.M. Kanter, M. Soroush, and W.D. Seider: Nonlinear feedback control of multivariable non-minimum-phase processes, Journal of Process Control, 667–686 (2002) 12.
  8. M. Soroush: Nonlinear state-observer design with application to reactors, Chemical Engineering Science, 387–404 (1997) 52.
  9. C. Panjapornpon and M. Soroush: Shortest-prediction-horizon non-linear model-predictive control with guaranteed asymptotic stability, International Journal of Control, 1533–1543 (2007) 80.
  10. C. Kravaris and M. Soroush: Synthesis of multivariable nonlinear controllers by input/output linearization, AIChE Journal, 249–264 (1990) 36.
  11. R.A. Wright and C. Kravaris: Two-degree-of-freedom output feedback controllers for discrete-time nonlinear systems, Chemical Engineering Science, 4676–4688 (2006) 61.



DOI: https://doi.org/10.22146/ajche.50039

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ASEAN Journal of Chemical Engineering  (print ISSN 1655-4418; online ISSN 2655-5409) is published by Chemical Engineering Department, Faculty of Engineering, Universitas Gadjah Mada.