Abstract
For identifying an unstable process under a relay test, existing references have been mainly devoted to identification algorithms for obtaining the low-order FOPDT and SOPDT models to facilitate control system design and online tuning.
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Ananth I, Chidambaram M (1999) Closed loop identification to transfer function model for unstable systems. J Frankl Inst 336(7):1055–1061
Cheres E (2006) Parameter estimation of an unstable system with a PID controller in a closed loop configuration. J Frankl Inst 343(2):204–209
Co T (2010) Relay stabilization and bifurcations of unstable SISO processes with time delay. IEEE Trans Autom Control 55(5):1131–1141
Forssell U, Ljung L (2000) Identification of unstable systems using output error and Box–Jenkins model structures. IEEE Trans Autom Control 45(1):137–141
Jin HP, Heung IP, Lee I-B (1998) Closed-loop on-line process identification using a proportional controller. Chem Eng Sci 53(9):1713–1724
Kaya I, Atherton DP (2001) Parameter estimation from relay autotuning with asymmetric limit cycle data. J Process Control 11:429–439
Liu T, Gao F (2008a) 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 (2008b) Identification of integrating and unstable processes from relay feedback. Comput Chem Eng 32(12):3038–3056
Lin C, Wang QG, Lee TH (2004) Relay feedback: A complete analysis for first-order systems. Ind Eng Chem Res 43:8400–8402
Majhi S (2007) Relay based identification of processes with time delay. J Process Control 17(2):93–101
Majhi S, Atherton DP (2000) Online tuning of controllers for an unstable FOPDT process. IEE Proc Control Theory Appl 147(4):421–427
Marchetti G, Scali C, Lewin DR (2001) Identification and control of open-loop unstable processes by relay methods. Automatica 37(12):2049–2055
Padhy PK, Majhi S (2006) Relay based PI-PD design for stable and unstable FOPDT processes. Comput Chem Eng 30(5):790–796
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):455–464
Park JH, Sung SW, Lee I-B (1998) An enhanced PID control strategy for unstable processes. Automatica 34(6):751–756
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
Shiu SJ, Hwang SH, Li ML (1998) Automatic tuning of systems with one or two unstable poles. Chem Eng Commun 167:51–72
Sree RP, Chidambaram M (2006) Improved closed loop identification of transfer function model for unstable systems. J Frankl Inst 343:152–160
Tan KK, Wang QG, Lee TH (1998) Finite spectrum assignment control of unstable time delay processes with relay tuning. Ind Eng Chem Res 37:1351–1357
Thyagarajan T, Yu CC (2003) Improved autotuning using the shape factor from feedback. Ind Eng Chem Res 42:4425–4440
Vivek S, Chidambaram M (2005) An improved relay auto tuning of PID controllers for unstable FOPTD systems. Comput Chem Eng 29:2060–2068
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© 2012 Springer-Verlag London Limited
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Liu, T., Gao, F. (2012). Relay Feedback Identification of Unstable Processes. In: Industrial Process Identification and Control Design. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-0-85729-977-2_6
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DOI: https://doi.org/10.1007/978-0-85729-977-2_6
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