The System Identification and PID Lead-lag Control for Two Poles Unstable SOPDT Process by Improved Relay Method
This paper describes identification of the two poles
unstable SOPDT process, especially with large time delay. A new
modified relay feedback identification method for two poles unstable
SOPDT process is proposed. Furthermore, for the two poles unstable
SOPDT process, an additional Derivative controller is incorporated
parallel with relay to relax the constraint on the ratio of delay to the
unstable time constant, so that the exact model parameters of
unstable processes can be identified. To cope with measurement
noise in practice, a low pass filter is suggested to get denoised output
signal toimprove the exactness of model parameter of unstable
process. PID Lead-lag tuning formulas are derived for two poles
unstable (SOPDT) processes based on IMC principle. Simulation
example illustrates the effectiveness and the simplicity of the
proposed identification and control method.
[1] Y. Z. Tsypkin, "Relay control systems," Cambridge University Press,
1984.
[2] K. J. Astrom and T. Hagglund, "Automatic tuning of simple regulators
with specifications on phase and amplitude margins," Automatica, vol.
20, pp. 645-651, 1984.
[3] I.Kaya, "Parameter estimation for integrating processes using relay
feedback control under static load disturbances," Industrial and
Engineering Chemistry Research, vol. 45, pp. 4726-4731, 2001.
[4] M. Chidambram and I. Ananth, "Closed loop identification of transfer
function model for unstable process," Journal of the Franklin Institute,
336, 1055, 1999.
[5] G. Marchetti, C. Scali and D. R. Lewin, "Identification and control of
open loop unstable processes by relay methods," Automatica, 37, 2049,
2001
[6] V. K. Singh and P. K Padhy, "IMC Based PID Controller Tuning for
Unstable SOPDT Processes," Proc. PEIE, vol. ccis 102, pp. 110-114,
2010.
[7] P. K. Padhy and S. Majhi, "IMC based PID controller for FOPDT stable
and unstable processes," Proc. of 30th National System Conference,
Dona Paula, Goa 2006
[8] Y. Lee, J. Lee and S Park, "PID controller tuning for integrating and
unstable processes with time delay," Chemical Engineering Science, vol.
55, pp. 3481-3493, 2000.
[1] Y. Z. Tsypkin, "Relay control systems," Cambridge University Press,
1984.
[2] K. J. Astrom and T. Hagglund, "Automatic tuning of simple regulators
with specifications on phase and amplitude margins," Automatica, vol.
20, pp. 645-651, 1984.
[3] I.Kaya, "Parameter estimation for integrating processes using relay
feedback control under static load disturbances," Industrial and
Engineering Chemistry Research, vol. 45, pp. 4726-4731, 2001.
[4] M. Chidambram and I. Ananth, "Closed loop identification of transfer
function model for unstable process," Journal of the Franklin Institute,
336, 1055, 1999.
[5] G. Marchetti, C. Scali and D. R. Lewin, "Identification and control of
open loop unstable processes by relay methods," Automatica, 37, 2049,
2001
[6] V. K. Singh and P. K Padhy, "IMC Based PID Controller Tuning for
Unstable SOPDT Processes," Proc. PEIE, vol. ccis 102, pp. 110-114,
2010.
[7] P. K. Padhy and S. Majhi, "IMC based PID controller for FOPDT stable
and unstable processes," Proc. of 30th National System Conference,
Dona Paula, Goa 2006
[8] Y. Lee, J. Lee and S Park, "PID controller tuning for integrating and
unstable processes with time delay," Chemical Engineering Science, vol.
55, pp. 3481-3493, 2000.
@article{"International Journal of Information, Control and Computer Sciences:64660", author = "V. K. Singh and P. K. Padhy", title = "The System Identification and PID Lead-lag Control for Two Poles Unstable SOPDT Process by Improved Relay Method", abstract = "This paper describes identification of the two poles
unstable SOPDT process, especially with large time delay. A new
modified relay feedback identification method for two poles unstable
SOPDT process is proposed. Furthermore, for the two poles unstable
SOPDT process, an additional Derivative controller is incorporated
parallel with relay to relax the constraint on the ratio of delay to the
unstable time constant, so that the exact model parameters of
unstable processes can be identified. To cope with measurement
noise in practice, a low pass filter is suggested to get denoised output
signal toimprove the exactness of model parameter of unstable
process. PID Lead-lag tuning formulas are derived for two poles
unstable (SOPDT) processes based on IMC principle. Simulation
example illustrates the effectiveness and the simplicity of the
proposed identification and control method.", keywords = "IMC structure, PID Lead-lag controller, Relayfeedback, SOPDT", volume = "5", number = "7", pages = "793-5", }