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Review of Model Predictive Control Methods for Time-Delay Systems

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Proceedings of 2020 Chinese Intelligent Systems Conference (CISC 2020)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 705))

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Abstract

Model Predictive Control (MPC) has accomplished several important achievements after decades of growth. Through the perspective of model predictive control for time-delay systems, the system output may deteriorate when there is time-delay or even the system will be unstable. This paper presents the performance of model predictive control methods for time-delay systems with state delays and control delay. The characteristics of the methods used to deal with various types of time-delay systems are illustrated and the benefits, drawbacks and future directions for research are highlighted. Finally, an example is given to test that model predictive control is one of the most successful methods of tackling system control problems.

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References

  1. Richalet, J., Rault, A.: Model predictive heuristic control application to industrial process. Automatic 14(1), 413–428 (1978)

    Article  Google Scholar 

  2. Xi, Y.G.: Predictive Control. National Defense Industry Press, Beijing (1991)

    Google Scholar 

  3. Chen, H.: Model Predictive Control. Science Press, Beijing (2013)

    Google Scholar 

  4. Su, D.Q.: Predictive Control System and Its Application. Mechanical Industry Press, Beijing (1996)

    Google Scholar 

  5. Zhang, J., Pei, R., Chen, T.S.: Model predictive control for input constrained time-delay systems. J. Syst. Simul. 15(7), 1051–1053 (2003)

    Google Scholar 

  6. Zhang, J., Xie, R.H., Ji, B.Y., Wang, B.: Robust model predictive control for input constrained time-delay systems. Electric Mach. Control 43(4), 362–365 (2004)

    Google Scholar 

  7. Qin, W.W., Liu, G., Zheng, Z.Q.: Model predictive controller for input constrained time delay systems with memory state feedback. J. South China Univ. Technol. (Nat. Sci. Ed.) 40(6), 63–69 (2012)

    Google Scholar 

  8. Chen, Q.X., Yu, L.: Robust model predictive control for uncertain discrete time-delay systems via dynamic output feedback. Control Theory Appl. 24(3), 401–406 (2007)

    MATH  Google Scholar 

  9. Liang, X., Cui, B.T., Lou, X.Y.: Model predictive control based on generalized projection neural network optimization. Appl. Res. Comput. 33(6), 1666–1669, 1675 (2016)

    Google Scholar 

  10. Zhao, L.P., Lou, X.Y.: Predictive control of discrete time-delay system based on neural dynamic optimization. Technol. Innov. Appl. 8(13), 25–27, 29 (2018)

    Google Scholar 

  11. Peng, Y.G., Wei, W., Wang, J.: Model predictive control of time delayed restraint system based on neurodynamical optimization. Chin. J. Sci. Instr. 34(5), 961–966 (2013)

    Google Scholar 

  12. Liu, G.Y., Shan, C.W.: Multiple models predictive control based on genetic algorithm. J. Beihua Univ. (Nat. Sci.) 15(4), 557–560 (2014)

    Google Scholar 

  13. Zhang, Y.G., Shen, J., Li, Y.G.: Multi-model switching based GPC and its application to superheated steam temperature systems. East China Electric Power 37(1), 164–168 (2009)

    Google Scholar 

  14. Qin G.J., Ren, Q.C.: PID control and simulation based on genetic algorithm optimization. Sci. Technol. West China 10(11), 9–10, 12–13 (2011)

    Google Scholar 

  15. Liao, E.H., Zhong, C.: Hybrid genetic algorithm using improved mutation operator. Inf. Technol. 36(1), 123–125 (2012)

    MathSciNet  Google Scholar 

  16. Xu, S.H., Sun, Q.X., Gu, W.J., Jiang, W.Z.: A survey of nonlinear predictive control model methods. J. Naval Aeronaut. Eng. Inst. 22(6), 633–636 (2007)

    Google Scholar 

  17. Liu, G.P., Wu, J.F., Wang, S.M.: The application of fuzzy predictive control for nonlinear time-delay systems. J. Harbin Univ. Sci. Technol. 15(2), 24–27, 34 (2010)

    Google Scholar 

  18. Zhou, W.D., Zheng, L., Liao, C.Y., Cai, J.N.: Min-max robust predictive control for multi-state time-delay systems. J. Harbin Eng. Univ. 37(12), 1685–1690 (2016)

    MATH  Google Scholar 

  19. Zhou, W.D., Zheng, L., Liao, C.Y., Cai, J.N.: Robust prediction control for multiple time delay discrete nonlinear system. J. Harbin Inst. Technol. 47(9), 24–30 (2015)

    MathSciNet  MATH  Google Scholar 

  20. Li, J.X., Fan, Y.M., Shi, S.L.: Robust MPC algorithm for discrete-time systems with time-varying delay and nonlinear perturbations. In: Proceedings of the 29th Chinese Control Conference, pp. 3128–3133. IEEE Press, Beijng (2010)

    Google Scholar 

  21. Zhang, Y.X., Liu, M., Wang, J.H.: Robust model predictive control for uncertain discrete-time system with both states and input delays. In: 2008 Chinese Control and Decision Conference (CCDC 2008), pp. 279–284. IEEE Press, Yantai (2008)

    Google Scholar 

  22. Su, C.L., Zhao, J.C., Li, P.: Robust predictive control for a class of multiple time delay uncertain systems with nonlinear disturbance. Acta Automatica Sinica 39(5), 644–649 (2013)

    Article  MathSciNet  Google Scholar 

  23. Wang, Y.J., Zhang, D.W., Yu, J.Q.: Model predictive control for a class of nonlinear systems with time-delay based on T-S model. Hebei J. Ind. Sci. Technol. 35(1), 37–42 (2018)

    Google Scholar 

  24. Xi, Y.G., Wang, F.: Nonlinear multi-model predictive control. Acta Automatica Sinica 22(4), 456–461 (1996)

    MATH  Google Scholar 

  25. Ding, B., Huang, B.: Constrained robust model predictive control for time-delay systems with polytopic description. Int. J. Control 80(4), 509–522 (2007)

    Article  MathSciNet  Google Scholar 

  26. Ding, B., Xie, L., Cai, W.: Robust MPC for polytopic uncertain systems with time-varying delays. Int. J. Control 81(8), 1239–1253 (2008)

    Article  MathSciNet  Google Scholar 

  27. Li, D., Xi, Y.: Constrained feedback robust model predictive control for polytopic uncertain systems with time-delays. Int. J. Syst. Sci. 42(10), 1651–1660 (2011)

    Article  MathSciNet  Google Scholar 

  28. Zheng, P., Xi, Y., Li, D.: Robust model predictive control for time-delay systems with structured uncertainty. In: The 8th World Congress on Intelligent Control and Automation, pp. 1174–1178. IEEE, Jinan (2010)

    Google Scholar 

  29. Zheng, P.Y., Xi, Y.G., Li, D.W.: Closed-loop robust model predictive control for time-delay systems with structured uncertainties. Control Theory Appl. 30(6), 683–692 (2013)

    MATH  Google Scholar 

  30. Zhao, G.R., Gai, J.F., Hu, Z.G.: Evolution of nonlinear model predictive control research. J. Naval Aeronaut. Astronaut. Univ. 29(3), 201–208 (2014)

    Google Scholar 

  31. Guo, Y.J., Liao, F.C.: Robust preview control for multirate uncertain discrete-time systems with input delay. Control Decis. 32(12), 2113–2126 (2017)

    MATH  Google Scholar 

  32. Yuan, X.J., Gao, C.C.: Stability of observer-based Uncertain discrete systems with time-varying delays. Period. Ocean Univ. China 48, 206–211 (2018)

    Google Scholar 

  33. Reble, M., Mahboobi, E., Sfanjani, R., Nikravesh, S.K.Y.: Model predictive control of constrained nonlinear time-delay systems. IMA J. Math. Control Inf. 28(2), 183–201 (2011)

    Article  Google Scholar 

  34. Graichen, K., Kugi, A.: Stability and incremental improvement of suboptimal MPC without terminal constraints. IEEE Trans. Autom. Control 55(11), 2576–2580 (2010)

    Article  MathSciNet  Google Scholar 

  35. Li, S.Q., Shi, Y.J., Chen, D.Y., Wang, J.M.: Robust model predictive control for time-delay systems with polytopic uncertainty. J. Harbin Univ. Sci. Technol. 16(4), 108–113, 117 (2011)

    Google Scholar 

  36. Gai, J.F., Zhao, G.R., Gao, C., Geng, B.L., Shi, Y.J., Chen, D.Y., Wang, J.M.: Output feedback robust predictive control for polytopic uncertain time-delay systems. J. Naval Aeronaut. Astronaut. Univ. 34(5), 423–429 (2019)

    Google Scholar 

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Ackonwledgements

This work is partially supported by the Youth Foundation of Beijing Nature Science Grant (4202022, 4154068), the Youth Talent Cultivation Program of Beijing, the National Natural Science Foundation of China (61473002, 61573024). North China University of Technology Yuyou Talent Support Program.

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Authors and Affiliations

  1. North China University of Technology, Beijing, 100144, China

    Lei Liu, Yi He & Cunwu Han

Authors
  1. Lei Liu
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  2. Yi He
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  3. Cunwu Han
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Corresponding author

Correspondence to Lei Liu .

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Editors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, Beijing, China

    Yingmin Jia

  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, Beijing, China

    Weicun Zhang

  3. School of Mechanical Engineering and Automation, Beihang University, Beijing, Beijing, China

    Yongling Fu

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Liu, L., He, Y., Han, C. (2021). Review of Model Predictive Control Methods for Time-Delay Systems. In: Jia, Y., Zhang, W., Fu, Y. (eds) Proceedings of 2020 Chinese Intelligent Systems Conference. CISC 2020. Lecture Notes in Electrical Engineering, vol 705. Springer, Singapore. https://doi.org/10.1007/978-981-15-8450-3_66

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