An interactive multiobjective optimisation method was introduced in this study to tune satisfactory modes of a PID controller. An interval process was modelled by a set of transfer functions in this study. In general, such processes could not be handled by a PID controller which was tuned by a single-objective optimisation method. A trade-off tuning rule based on multi-objective optimisation methods was introduced to overcome this drawback. The robust stability for this multi-modelling control system performed by the multi-objective optimisation approach was automatically guaranteed. Extension to cascade control systems was also developed.
Ackermann, J.1985. Sampled-data control systems, Springer-Verlag , Berlin.
2.
Aström, K.J., and Hägglund, T.1984. 'Automatic tuning of simple regulators with specifications on phase and amplitude margins', Automatica, 20, 645-651.
3.
Bogere, M.N., and Özgen, C.1990. 'Some theoretical insights into recent control design algorithms', Chem Eng Comm, 89, 55-71.
4.
Chen, C.L.1991. 'A closed-loop reaction-curve method for controller tuning ', Chem Eng Commun, 104, 87-100.
5.
Cohen, G.H., and Coon, G.A.1953. 'Theoretical investigation of retarded control', Trans ASME, 75, 827-834.
6.
Fleming, P.J., and Pashkevich, A.P.1986. 'Application of multi-objective optimisation to compensator design for SISO control systems', Electronics Letters, 22, 258-259.
7.
Hang, C.C., Aström, K.J., and Ho, W.K.1991. 'Refinement of the Ziegler-Nichols tuning formula', IEE Proceedings-D, 138, 111 -118.
8.
Hansen, E.1992. Global optimization using interval analysis, Marcel Dekker Inc, New York.
9.
Harris, S.L., and Mellichamp, D.A.1985. 'Controller tuning using optimisation to meet multiple closed-loop criteria', AIChE J, 31, 484-487.
10.
Hwang, S.H., and Chang, H.C.1987. 'A theoretical examination of closed-loop properties and tuning methods of single-loop PI controllers', Chem EngngSci, 42, 2395-2415.
11.
Jutan, A.1989. 'A comparison of three closed-loop PID tuning algorithms ', AIChE J, 35, 1912-1914.
12.
Krishnaswmy, P.R., Chan, B.E.M., and Ranqalah, G.P.1987. 'Closed-loop tuning of process control systems', Chem EngngSci, 42, 2173-2182.
13.
Lee, J.1989. 'On-line PID controller tuning from a single, closed-loop test', AIChE J, 35, 329-331.
14.
Levary, R.R.1986. 'Optimal control problems with multiple goal objectives ', Optimal Control Applications & Methods, 7, 201-207.
15.
Lin, J.Y., and Yu, C.C.1993. 'Automatic tuning and gain scheduling for pH control', Chem EngngSci, 48, 3159-3171.
16.
Mäkilä, P.M., and Toivonen, H.T.1987. 'Matrix criterion robust LQ control problem', Int J Control46, 913-931.
17.
Morari, M., and Zafiriou, Z.1989. Robust process control, Prentice-Hall , Englewood Cliffs, New Jersey.
18.
Rivera, D.E., Morari, M., and Skogestad, S.1986. 'Internal model control. 4. PID controller design', Ind Eng Chem Process Des Dev, 25, 252-265.
19.
Sandelin, P.M., Toivonen, H.T., Österås, M., and Waller, K.V.1991. 'Robust multiobjective linear quadratic control of distillation using lower-order controllers', Chem EngngSci, 46, 2815-2827.
20.
Stephanopoulos, G.1984. Chemical process control: an introduction to theory and practice, Prentice-Hall, Englewood Cliffs, New Jersey.
21.
Wang, F.S., and Wu, T.Y.1995. 'Multiple-loop PID controller tuning by the goal attainment trade-off method', Trans Inst MC, 17, 27-34.
22.
Wang, F.S., Juang, W.S., and Chan, C.T.1995. 'Optimal tuning of PID controllers for single and cascade control loops', Chem EngComm, 132, 15-34.
23.
Yuwana, M., and Seborg, D.E.1982. 'A new method for on-line controller tuning', AIChE J, 28, 434-440.
24.
Zhuang, M., and Atherton, D.P.1993. 'Automatic tuning of optimum PID controllers', IEE Proceedings-D, 140, 216-224.
25.
Ziegler, J.G., and Nichols, N.B.1942. 'Optimum settings for automatic controllers', Trans ASME, 64, 759-768.
