연속교반 생물반응기에서의 균체농도 디지탈 제어-Part 2. 쌍일차 적응제어방식에 의한 균체농도 제어

황영보; 이경범; 장호남; 이광순

HWAHAK KONGHAK, Vol.28, No.1, 11-21, February, 1990

Digital Control of Cell Mass Concentration in Continuous Stirred Tank Bio-Reactor-Part2. Cell Mass Control Using Bilinear Adaptive Control Algorithms

황영보, 이경범, 장호남, 이광순

초록

효모세포 연속배양공정 제어에 네 종류의 비선형 적응제어기가 개발되었다. 배양공정은 미지의 시변매개변수를 하나만 가지는 SISO 쌍일차 모델로 나타내었으며, 제어 알고리듬들은 대수적으로 데이터를 가중시키는 최소제곱 매개변수 추정법과 일반화된 한 단계 전 제어기를 조합한 뒤, 설계변수들을 특정값으로 설정함으로써 설계되었으며, 각각 BAC(쌍일차 적응제어), VIBAC(입력이 가중된 쌍일차 적응제어), SBAC(단순 쌍일차 적응제어), 그리고 SDC(단순디지탈 제어)라고 명명되었다. 실험실 규모의 연속교반 생물반응기에서의 실험은 비선형 적응제어기가 만족할 만한 동특성을 가진다는 것을 보여주었다. WIBAC의 대역적 수렴성에 대한 이론적 증명도 확립되었다.

Four bilinear adaptive controllers were developed for control of a continuous yeast cell cultivation pro-cess. The process was described by a SISO-bilinear model having only one unknown time-varying parameter. Each control algorithm was designed by combining exponential data weighting least squares parameter estimator and gener-alized one-step ahead controller, and the design variables were set to specific values. Those algorithms were named BAC(Bilinear Adaptive Control), WIBAC(Weighted Input Bilinear Adaptive Control), SBA(Simple Digital Control). Experiments in a laboratory scale CSTBR demonstrated that the developed bilinear adaptive controllers had satisfactory dynamic properties. A theoretical proof of global convergence of WIBAC algorithm was established.

[References]

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[1] Kenneth AK, Bioprocess. Technol., 9(12), 1 (1987)

[2] Harrison DEF, Topiwala HH, Adv. Biochem. Eng., Springer-Verlag, New York, 3, 167 (1974)

[3] DiBiasio D, Lim HC, Weigand WA, AIChE J., 30, 520 (1984)

[4] Harrison DEF, "Biological and Biochemical Oscillators," Academic Press, New York (1973)

[5] Furuhawa K, Heinzle E, Biotechnol. Bioeng., 25, 2293 (1983)

[6] Agrawal P, Lee C, Lim HC, Ramkrishna D, Chem. Eng. Sci., 37, 453 (1982)

[7] Parulekar SJ, Semones GB, Rolf MJ, Lievenese JC, Lim HC, Biotechnol. Bioeng., 28, 700 (1986)

[8] Mateles RI, Ryu DY, Yasuda T, Nature, 208, 263 (1965)

[9] Karim MN, Linden J, Lee GKF, AIChE Diamond Jubilie Meeting Washington D.C., Oct., 30, 4 (1984)

[10] Koppel LB, AIChE J., 28, 881 (1982)

[11] Chen LH, Chang HC, Chem. Eng. Commun., 27, 231 (1984)

[12] DiBiasio D, Lim HC, Weigand WA, Tsao GT, AIChE J., 24, 686 (1978)

[13] Karim MN, Morura AR, Grogan A, IEEE American Control Conference, WA 5-9, 45 (1982)

[14] Dochain D, Bastin G, Automatica, 20(5), 621 (1984)

[15] Goodwin GC, McInnis B, Long RS, Opt. Control. Appl. Mech., 3, 443 (1982)

[16] Ramkrishna D, Adv. Biochem. Eng., Springer-Verlag, Berlin, 11, 1 (1979)

[17] Clarke DW, Gawthrop PJ, Proc. IEEE, 126, 633 (1979)

[18] Goodwin GC, Payne RL, "Dynamic System Identification," Academic Press, New York, London (1977)

[19] Goodwin GC, Sin KS, "Adaptive Filtering Prediction and Control," Prentice-Hall, Englewood Cliffs, NJ (1983)

[20] Astrom KJ, Wittenmark B, "Adaptive Control," Addison-Wesley, New York (1989)

[21] Ko KY, McInnis BC, Goodwin GC, Automatica, 18, 727 (1982)