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Predictive sliding mode based cascade control for parametric uncertainty

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Abstract

In this paper, a predictive sliding mode control based cascade control strategy is proposed for improving system performance and to reduce the effect of uncertainty in model parameters such as varying time-delay and varying time constant of the system. The proposed structure has two controllers in the primary loop and one controller in the secondary loop. The disturbance rejection and delay compensation strategies are incorporated in the primary loop. The primary controller is designed with Smith predictor based sliding mode control to eliminate the effects of model parameter uncertainty, which occur due to modeling inaccuracies in identification of overall primary process model into first order plus dead-time model. The disturbance rejection control law is designed to reduce the effect of disturbances in steady state operating condition. The secondary controller is designed based on conventional sliding mode approach with first order sliding surface. A new control scheme has been proposed looking for superior performance and robustness improvement. Simulation example is given to illustrate the use of the proposed method and its superiority over some existing design methods.

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References

  1. Liu T, Gao F (2012) Industrial process identification and control design. Springer, London, pp 321–347

    Google Scholar 

  2. Franks RG, Worley CW (1956) Quantitive analysis of cascade control. Ind Eng Chem 48(6):1074–1079

    Article  Google Scholar 

  3. Zitek P, Kucera V, Vyhlidal T (2012) Time-delay systems: methods, applications and new trends. Lecture notes in control and information sciences. Springer, Berlin, pp 343–354

  4. Yin C-G, Hui H-Z, Yue Y-G, Gao J, Zheng L-P (2012) Cascade based on minimum sensitivity in outer loop for processes with time-delay. J Cent South Univ 19(9):2689–2696

    Article  Google Scholar 

  5. Zhong Y, Luo Y (2011) Comparative study of single-loop control and cascade control of third-order object. Proc Eng 15:783–787

    Article  Google Scholar 

  6. Normey-Rico JE, Camacho EF (2008) Dead-time compensators: a survey. Control Eng Pract 16:407–428

    Article  Google Scholar 

  7. Seborg DS, Edgar TF, Mellichamp DA (2006) Process dynamics and control. Wiley, India

    Google Scholar 

  8. Normey-Rico JE, Camacho EF (2007) Control of dead-time processes. Springer, London

    Google Scholar 

  9. Kaya I, Tan N, Atherton DP (2007) Improved cascade control structure for enhanced performance. J Process Control 17:3–16

    Article  Google Scholar 

  10. Smith OJM (1959) A controller to overcome dead-time. ISA Trans 6(2):28–33

    Google Scholar 

  11. Kaya I (2003) Obtaining controller parameters for a new PI–PD Smith predictor using auto tuning. J Process Control 13:465–472

    Article  Google Scholar 

  12. Kaya I (2003) A new Smith predictor and controller for control of processes with long dead-time. ISA Trans 42:101–110

    Article  Google Scholar 

  13. Wang S, Xu B, Wang Q, Liu Y-H (2006) Modified Smith predictor and controller for time-delay process with uncertainty. Proc World Congr Intell Control Autom 6(2):623–627

    Article  MathSciNet  Google Scholar 

  14. Nortcliffe A, Love J (2004) Varying time-delay Smith predictor process controller. ISA Trans 43:41–71

    Article  Google Scholar 

  15. Wang Q-G, Bi Q, Zhang Y (2000) Re-design of Smith predictor systems for performance enhancement. ISA Trans 39:79–92

    Google Scholar 

  16. Lee DK, Lee MY, Sung SW, Lee IB (1999) Robust PID tuning for Smith predictor in the presence of model uncertainty. J Process Control 9:79–85

    Google Scholar 

  17. Kaya I (2001) Improving performance using cascade control and a Smith predictor. ISA Trans 40:223–234

    Article  Google Scholar 

  18. Santosh S, Chidambaram M (2013) A simple method of tuning series cascade controllers for unstable systems. J Control Theory Appl 11(4):661–667

    Article  MathSciNet  Google Scholar 

  19. Utkin VI (1977) Variable structure systems with sliding modes. IEEE Trans Autom Control 22:212–222

    Article  MathSciNet  MATH  Google Scholar 

  20. Camacho O, Rojas R, Garciya-Gabin W (2007) Some long time-delay sliding mode control approaches. ISA Trans 46:95–101

    Article  Google Scholar 

  21. Camacho O, Smith C, Moreno W (2003) Development of an internal model sliding mode controller. Ind Eng Chem Res 42:568–573

    Article  Google Scholar 

  22. Slotine JJ, Li W (1991) Applied nonlinear control. Prentice Hall, New Jersey

  23. Garcia-Gabin W, Dorado F, Bordons C (2010) Real-time implementation of a sliding mode controller for air supply on a PEM fuel cell. J Process Control 20:325–336

    Article  Google Scholar 

  24. Eker I (2010) Second-order sliding mode control with experimental application. ISA Trans 49:394–405

    Article  Google Scholar 

  25. Camacho O, Smith CA (2000) Sliding mode control: an approach to regulate nonlinear chemical processes. ISA Trans 39:205–218

    Article  Google Scholar 

  26. Himmelblau DM (1972) Applied nonlinear programming. McGraw-Hill, New York

    MATH  Google Scholar 

  27. Uma S, Chidambaram M, Rao AS (2009) Enhanced control of unstable cascade processes with time-delays using a modified Smith predictor. Ind Eng Chem Res 48:3098–3111

    Article  Google Scholar 

  28. Khan MK (2003) Design and application of second order sliding mode control algorithms, PhD thesis, University of Leicester

  29. Uma S, Chidambaram M, Rao AS, Yoo CK (2010) Enhanced control of integrating cascade processes with time-delays using modified Smith predictor. Chem Eng Sci 65:1065–1075

    Article  Google Scholar 

  30. Kaya I, Atherton DP (2008) Use of Smith predictor in the outer loop for cascaded control of unstable and integrating processes. Ind Eng Chem Res 47:1981–1987

    Article  Google Scholar 

  31. Matausek MR, Micic AD (1999) On the modified Smith predictor for controlling a process with an integrator and long dead-time. IEEE Trans Autom Control 44(8):1603–1606

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to K. S. Holkar.

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Holkar, K.S., Waghmare, L.M. & Lakhekar, G.V. Predictive sliding mode based cascade control for parametric uncertainty. Int. J. Dynam. Control 3, 437–447 (2015). https://doi.org/10.1007/s40435-014-0095-4

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  • DOI: https://doi.org/10.1007/s40435-014-0095-4

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