Step Response Identification of Integrating and Unstable Processes

  • Tao LiuEmail author
  • Furong Gao
Part of the Advances in Industrial Control book series (AIC)


Some industrial and chemical processes, e.g., heating boilers and continuous-stirred-tank-reactors (CSTRs), show integrating or unstable dynamics to the input change, such as a step or ramp signal that often occurs in process operations.


Step Response Internal Model Control Load Disturbance Controller Tuning Unstable Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Ananth I, Chidambaram M (1999) Closed loop identification to transfer function model for unstable systems. J Franklin Inst 336(7):1055–1061MathSciNetCrossRefGoogle Scholar
  2. Åström KJ, Hägglund T (1995) PID controller: theory, design, and tuning, 2nd edn. ISA Society of America, Research Triangle ParkGoogle Scholar
  3. Åström KJ, Hägglund T (2005) Advanced PID control. ISA Society of America, Research Triangle ParkGoogle Scholar
  4. Cheres E (2006) Parameter estimation of an unstable system with a PID controller in a closed loop configuration. J Franklin Inst 343(2):204–209zbMATHCrossRefGoogle Scholar
  5. Deshpande PB (1980) Process identification of open-loop unstable systems. AIChE J 26(2): 305–308CrossRefGoogle Scholar
  6. Ingimundarson A, Hägglund T (2001) Robust tuning procedures of dead-time compensating controllers. Control Eng Pract 9:1195–1208CrossRefGoogle Scholar
  7. Jin HP, Heung IP, Lee I-B (1998) Closed-loop on-line process identification using a proportional controller. Chem Eng Sci 53(9):1713–1724CrossRefGoogle Scholar
  8. Kaya I (2006) Parameter estimation for integrating processes using relay feedback control under static load disturbances. Ind Eng Chem Res 45:4726–4731CrossRefGoogle Scholar
  9. Kwak HJ, Sung SW, Lee I-B (1997) On-line process identification and autotuning for integrating processes. Ind Eng Chem Res 36(12):5329–5338CrossRefGoogle Scholar
  10. Liu T, Gao F (2008) Identification of integrating and unstable processes from relay feedback. Comput Chem Eng 32(12):3038–3056CrossRefGoogle Scholar
  11. Liu T, Gao F (2010) Closed-loop step response identification of integrating and unstable processes. Chem Eng Sci 65(10):2884–2895CrossRefGoogle Scholar
  12. Liu T, Zhang WD, Gu DY (2005) Analytical two-degree-of-freedom tuning design for open-loop unstable processes with time delay. J Process Control 15:559–572CrossRefGoogle Scholar
  13. Liu T, Yao K, Gao F (2009) Identification and autotuning of temperature control system with application to injection molding. IEEE Trans Control Syst Technol 17(6):1282–1294CrossRefGoogle Scholar
  14. Luyben WL (1990) Process modeling, simulation, and control for chemical engineers. McGraw Hill, New YorkGoogle Scholar
  15. Majhi S (2007) Relay based identification of processes with time delay. J Process Control 17(2):93–101CrossRefGoogle Scholar
  16. Morari M, Zafiriou E (1989) Robust process control. Prentice Hall, Englewood Cliff, NJGoogle Scholar
  17. Padhy PK, Majhi S (2006) Relay based PI-PD design for stable and unstable FOPDT processes. Comput Chem Eng 30(5):790–796CrossRefGoogle Scholar
  18. Paraskevopoulos PN, Pasgianos GD, Arvanitis KG (2004) New tuning and identification methods for unstable first order plus dead-time. IEEE Trans Control Syst Technol 12(3):455–464CrossRefGoogle Scholar
  19. Pintelon R, Schoukens J (2001) System identification: a frequency domain approach. IEEE Press, New YorkCrossRefGoogle Scholar
  20. Seborg DE, Edgar TF, Mellichamp DA (2004) Process dynamics and control, 2nd edn. Wiley, HobokenGoogle Scholar
  21. Shinskey FG (1996) Process control system, 4th Edition, McGraw Hill, New YorkGoogle Scholar
  22. Skogestad S (2003) Simple analytical rules for model reduction and PID controller tuning. J Process Control 13(4):291–309MathSciNetCrossRefGoogle Scholar
  23. Söderström T, Stoica P (1989) System identification. Prentice Hall, New YorkzbMATHGoogle Scholar
  24. Sree RP, Chidambaram M (2006) Improved closed loop identification of transfer function model for unstable systems. J Franklin Inst 343(2):152–160zbMATHCrossRefGoogle Scholar
  25. Sung SW, Lee I-B (1996) Limitations and countermeasures of PID controllers. Ind Eng Chem Res 35(8):2596–2610CrossRefGoogle Scholar
  26. Tan KK, Wang QG, Lee TH (1998) Finite spectrum assignment control of unstable time delay processes with relay tuning. Ind Eng Chem Res 37:1351–1357CrossRefGoogle Scholar
  27. Yao K, Gao F (2007) Optimal start-up control of injection molding barrel temperature. Polym Eng Sci 47(3):254–261CrossRefGoogle Scholar
  28. Zhou KM, Doyle JC, Glover K (1996) Robust and optimal control. Prentice Hall, Englewood CliffzbMATHGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.RWTH Aachen UniversityAachenGermany
  2. 2.Hong Kong University of Science and TechnologyKowloonHong Kong SAR

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