Design of Extremum Seeking Control with PD Accelerator and its Application to Monod and Williams-Otto Models
In this paper, we are concerned with the design and
its simulation studies of a modified extremum seeking control for
nonlinear systems. A standard extremum seeking control has a simple
structure, but it takes a long time to reach an optimal operating point.
We consider a modification of the standard extremum seeking control
which is aimed to reach the optimal operating point more speedily
than the standard one. In the modification, PD acceleration term
is added before an integrator making a principal control, so that it
enables the objects to be regulated to the optimal point smoothly. This
proposed method is applied to Monod and Williams-Otto models to
investigate its effectiveness. Numerical simulation results show that
this modified method can improve the time response to the optimal
operating point more speedily than the standard one.
[1] H.-H. Wang, M. Krsti'c and G. Bastin, "Optimizing bioreactors by
extremum seeking," International Journal of Adaptive Control and Signal
Processing, Vol. 13, pp. 651-669, 1999.
[2] K. B. Ariyur and M. Krsti'c, "Real-time optimization by extremumseeking
control," A John Wiley & Sons, INC., Publication, pp. 1-117,
2003.
[3] G. Bastin and J. F. Van Impe, "Nonlinear and adaptive control in
biotechnology," A Tutorial, European Journal of control, pp. 37-53, 1995.
[4] P. E. Wellstead and P. G. Scotson, "Self-tuning extremum control," IEE
Proceedings, Pt. D, Vol. 137, No. 3, pp. 165-175, 1990.
[5] B. J. Allison, J. E. Ciarniello, P. J-C. Tessier and G. A. Dumont, "Dual
adaptive control of chip refiner motor load," Automatica, Vol. 31, No. 8,
pp. 1169-1184, 1995.
[6] Q. Xiong and A. Jutan, "Continuous optimization using a dynamic
simplex method," Chemical Engineering Science, Vol. 58, pp. 3817-3828,
2003.
[7] H. Takata, D. Matsumoto and T. Hachino, "An extremum seeking control
via Chebyshev polynomial identification and LQ control," Journal of
Signal Processing, Vol. 7, No. 6, pp. 509-515, 2003.
[8] H. Takata, T. Hachino, R. Tamura and K. Komatsu, "Design of extremum
seeking control with accelerator," The Institute of Electronics, Information
and Communication Engineers. Trans. Fundamentals, Vol. E88-A, No.
10, pp. 2535-2540, 2005.
[9] B. C. Kuo, "Automatic control systems," second edition, Prentice-Hall,
INC. Maruzen CO., LTD, pp. 389-419, 1967.
[10] G. C. Goodwin, S. F. Graebe and M. E. Salgado, "Control system
design," Prentice-Hall, Upper Saddle River, pp. 241-262, 2001.
[1] H.-H. Wang, M. Krsti'c and G. Bastin, "Optimizing bioreactors by
extremum seeking," International Journal of Adaptive Control and Signal
Processing, Vol. 13, pp. 651-669, 1999.
[2] K. B. Ariyur and M. Krsti'c, "Real-time optimization by extremumseeking
control," A John Wiley & Sons, INC., Publication, pp. 1-117,
2003.
[3] G. Bastin and J. F. Van Impe, "Nonlinear and adaptive control in
biotechnology," A Tutorial, European Journal of control, pp. 37-53, 1995.
[4] P. E. Wellstead and P. G. Scotson, "Self-tuning extremum control," IEE
Proceedings, Pt. D, Vol. 137, No. 3, pp. 165-175, 1990.
[5] B. J. Allison, J. E. Ciarniello, P. J-C. Tessier and G. A. Dumont, "Dual
adaptive control of chip refiner motor load," Automatica, Vol. 31, No. 8,
pp. 1169-1184, 1995.
[6] Q. Xiong and A. Jutan, "Continuous optimization using a dynamic
simplex method," Chemical Engineering Science, Vol. 58, pp. 3817-3828,
2003.
[7] H. Takata, D. Matsumoto and T. Hachino, "An extremum seeking control
via Chebyshev polynomial identification and LQ control," Journal of
Signal Processing, Vol. 7, No. 6, pp. 509-515, 2003.
[8] H. Takata, T. Hachino, R. Tamura and K. Komatsu, "Design of extremum
seeking control with accelerator," The Institute of Electronics, Information
and Communication Engineers. Trans. Fundamentals, Vol. E88-A, No.
10, pp. 2535-2540, 2005.
[9] B. C. Kuo, "Automatic control systems," second edition, Prentice-Hall,
INC. Maruzen CO., LTD, pp. 389-419, 1967.
[10] G. C. Goodwin, S. F. Graebe and M. E. Salgado, "Control system
design," Prentice-Hall, Upper Saddle River, pp. 241-262, 2001.
@article{"International Journal of Electrical, Electronic and Communication Sciences:56797", author = "Hitoshi Takata and Tomohiro Hachino and Masaki Horai and Kazuo Komatsu", title = "Design of Extremum Seeking Control with PD Accelerator and its Application to Monod and Williams-Otto Models", abstract = "In this paper, we are concerned with the design and
its simulation studies of a modified extremum seeking control for
nonlinear systems. A standard extremum seeking control has a simple
structure, but it takes a long time to reach an optimal operating point.
We consider a modification of the standard extremum seeking control
which is aimed to reach the optimal operating point more speedily
than the standard one. In the modification, PD acceleration term
is added before an integrator making a principal control, so that it
enables the objects to be regulated to the optimal point smoothly. This
proposed method is applied to Monod and Williams-Otto models to
investigate its effectiveness. Numerical simulation results show that
this modified method can improve the time response to the optimal
operating point more speedily than the standard one.", keywords = "Extremum seeking control, Monod model, Williams-
Otto model, PD acceleration term, Optimal operating point.", volume = "3", number = "5", pages = "1168-5", }