쌍일차 공정의 일반형 예측제어

노균; 여영구; 송형근; 윤인섭

HWAHAK KONGHAK, Vol.29, No.3, 300-315, June, 1991

Export Citation

쌍일차 공정의 일반형 예측제어

Generalized Predictive Control for Bilinear Processes

노균, 여영구, 송형근, 윤인섭

초록

이상시간대 다변수 쌍일차공정에 대해 적분기능을 지닌 새로운 모델인 쌍일차 CARIMA 모델을 제안하고 이를 이용한 일반형 예측제어를 유도하였다. 모델을 이용한 다스ㅌ 최적예측자를 유도하고 이동구간 비용함수를 선정하여 이를 최소화시키는 제어입력을 계산하는 엄밀해법과 근사해법을 제시하였다. 수치모사를 통하여 제안된 제어방법이 공정에 대한 제한된 사전지식만이 반영된 모델을 이용한 경우에도 견실한 제어성능을 발휘함을 확인하였다.

A generalized predictive controller for discrete-time MIMO bilinear processes is derived based on a new bilinear CARIMA model with integral action. Using this model a multi-step ahead optimal predictor is derived. Two alternative solution methods-rigorous and short-cut-of the minimization problem of a long-range cost-function are introduced and used to calculate control input. Several simulation results show that the proposed control methods have robustness to the limited prior knowledge of the process.

[References]

Mohler RR, "Bilinear Control Processes," Academic Press, New York (1973)
Espana M, Landau ID, Automatica, 14, 345 (1978)
Svoronos S, Stephanopoulos G, Aris R, Int. J. Control, 34(4), 651 (1981)
Cebuhar WA, Costanza V, Chem. Eng. Sci., 39(12), 1715 (1984)
Clarke DW, Mohtadi C, Tuffs PS, Automatica, 23(2), 137 (1987)
Clarke DW, Mohtadi C, Tuffs PS, Automatica, 23(2), 149 (1987)
Kinnaert M, Int. J. Control, 50(1), 161 (1989)
Favier G, Dubois D, Automatica, 26(1), 75 (1990)
Clarke DW, Mohtadi C, Tuffs PS, Automatica, 25(6), 859 (1989)
Press WH, Flannery BP, Teukolsky SA, Vetterling WT, "Numerical Recipes," Cambridge Univ. Press, Cambridge (1986)
Yeo YK, Adaptive and Non-Adaptive Bilinear Model Predictive Control," Ph.D. Dissertation, Auburn, Univ., Auburn, Al (1986)
Tao G, Ioannou PA, Int. J. Control, 50(4), 1153 (1989)
노균, 윤인섭, 여영구, 송형근, 한국자동제어학술회의 논문집, 1, 344 (1990)
Dai H, Sinha NK, IEE Proc. D, 136(3), 122 (1989)
King PJ, Burnham KJ, James DJG, Control Comput., 18(1), 4 (1990)

[Referenced By]

[1] Mohler RR, "Bilinear Control Processes," Academic Press, New York (1973)

[2] Espana M, Landau ID, Automatica, 14, 345 (1978)

[3] Svoronos S, Stephanopoulos G, Aris R, Int. J. Control, 34(4), 651 (1981)

[4] Cebuhar WA, Costanza V, Chem. Eng. Sci., 39(12), 1715 (1984)

[5] Clarke DW, Mohtadi C, Tuffs PS, Automatica, 23(2), 137 (1987)

[6] Clarke DW, Mohtadi C, Tuffs PS, Automatica, 23(2), 149 (1987)

[7] Kinnaert M, Int. J. Control, 50(1), 161 (1989)

[8] Favier G, Dubois D, Automatica, 26(1), 75 (1990)

[9] Clarke DW, Mohtadi C, Tuffs PS, Automatica, 25(6), 859 (1989)

[10] Press WH, Flannery BP, Teukolsky SA, Vetterling WT, "Numerical Recipes," Cambridge Univ. Press, Cambridge (1986)

[11] Yeo YK, Adaptive and Non-Adaptive Bilinear Model Predictive Control," Ph.D. Dissertation, Auburn, Univ., Auburn, Al (1986)

[12] Tao G, Ioannou PA, Int. J. Control, 50(4), 1153 (1989)

[13] 노균, 윤인섭, 여영구, 송형근, 한국자동제어학술회의 논문집, 1, 344 (1990)

[14] Dai H, Sinha NK, IEE Proc. D, 136(3), 122 (1989)

[15] King PJ, Burnham KJ, James DJG, Control Comput., 18(1), 4 (1990)