Abstract
Owing to the fact that a relay feedback test can generate sustained oscillations of the controlled output for closed-loop identification, model identification from the relay feedback has attracted significantly increasing attentions in the process control community, since the pioneering works of the 1980s, see Atherton (1982), Tsypkin (1984), Åström and Hägglund (1984), and Luyben (1987).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Åström KJ, Hägglund T (1984) Automatic tuning of simple regulators with specification on phase angle and amplitude margins. Automatica 20:645–651
Åström KJ, Hägglund T (2005) Advanced PID control. ISA Society of America, Research Triangle Park
Atherton DP (1982) Oscillations in relay systems. Trans Inst Meas Control (London) 3:171–184
Atherton DP (2006) Relay autotuning: an overview and alternative approach. Ind Eng Chem Res 45:4075–4080
Hang CC, Åström KJ, Wang QG (2002) Relay feedback auto-tuning of process controllers—a tutorial review. J Process Control 12:143–163
Huang HP, Jeng JC, Luo KY (2005) Auto-tune system using single-run relay feedback test and model-based controller design. J Process Control 15:713–727
Kaya I, Atherton DP (2001) Parameter estimation from relay autotuning with asymmetric limit cycle data. J Process Control 11:429–439
Li W, Eskinat E, Luyben WL (1991) An improved autotune identification method. Ind Eng Chem Res 30:1530–1541
Liu T, Gao F (2008) Alternative identification algorithms for obtaining a first-order stable/unstable process model from a single relay feedback test. Ind Eng Chem Res 47(4):1140–1149
Liu T, Gao F (2009) A generalized approach for relay identification of time delay and nonminimum phase processes. Automatica 45(4):1072–1079
Liu T, Gao F, Wang YQ (2008) A systematic approach for on-line identification of second-order process model from relay feedback test. AICHE J 54(6):1560–1578
Liu T, Yao K, Gao F (2009) Identification and autotuning of temperature control system with application to injection molding. IEEE Transactions on Control System Technology 17(6):1282–1294
Luyben WL (1987) Derivation of transfer functions for highly nonlinear distillation columns. Ind Eng Chem Res 26:2490–2495
Luyben WL (2001) Getting more information from relay feedback tests. Ind Eng Chem Res 40:4391–4402
Ma M, Zhu X (2006) A simple auto-tuner in frequency domain. Comput Chem Eng 30:581–586
Majhi S (2007a) Relay-based identification of a class of non-minimum phase SISO processes. IEEE Trans Autom Control 52:134–139
Majhi S (2007b) Relay based identification of processes with time delay. J Process Control 17(2):93–101
Morari M, Zafiriou E (1989) Robust process control. Prentice Hall, Englewood Cliff
Ogunnaike BA, Ray WH (1994) Process dynamics, modeling, and control. Oxford University Press, New York
Panda RC (2006) Estimation of parameters of underdamped second order plus dead time processes using relay feedback. Comput Chem Eng 30:832–837
Panda RC, Yu CC (2003) Analytical expressions for relay feed back responses. J Process Control 13:489–501
Panda RC, Yu CC (2005) Shape factor of relay response curves and its use in autotuning. J Process Control 15:893–906
Ramakrishnan V, Chidambaram M (2003) Estimation of a SOPTD transfer function model using a single asymmetrical relay feedback test. Comput Chem Eng 27:1779–1784
Seborg DE, Edgar TF, Mellichamp DA (2004) Process dynamics and control, 2nd edn. Wiley, Hoboken
Shen SH, Wu JS, Yu CC (1996) Use of biased-relay feedback for system identification. AICHE J 42:1174–1180
Shinskey FG (1996) Process control system, 4th edn. McGraw Hill, New York
Skogestad S (2003) Simple analytical rules for model reduction and PID controller tuning. J Process Control 13(4):291–309
Srinivasan K, Chidambaram M (2003) Modified relay feedback method for improved system identification. Comput Chem Eng 27:727–732
Sung SW, Lee I-B (1997) Enhanced relay feedback method. Ind Eng Chem Res 36:5526–5530
Thyagarajan T, Yu CC (2003) Improved autotuning using the shape factor from relay feedback. Ind Eng Chem Res 42:4425–4440
Tsypkin YZ (1984) Relay control system. Cambridge University Press, Oxford
Vivek S, Chidambaram M (2005) Identification using single symmetrical relay feedback test. Comput Chem Eng 29:1625–1630
Wang QG, Hang CC, Zou B (1997) Low-order modelling from relay feedback. Ind Eng Chem Res 36:375–381
Wang QG, Lee TH, Lin C (2003) Relay feedback: analysis, identification and control. Springer, London
Yu CC (2006) Autotuning of PID controllers: a relay feedback approach, 2nd edn. Springer, London
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag London Limited
About this chapter
Cite this chapter
Liu, T., Gao, F. (2012). Relay Feedback Identification of Stable Processes. In: Industrial Process Identification and Control Design. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-0-85729-977-2_4
Download citation
DOI: https://doi.org/10.1007/978-0-85729-977-2_4
Published:
Publisher Name: Springer, London
Print ISBN: 978-0-85729-976-5
Online ISBN: 978-0-85729-977-2
eBook Packages: EngineeringEngineering (R0)