PID controller design of TITO system based on ideal decoupler

Abstract The proposed method for designing multivariable controller is based on ideal decoupler D(s) and PID controller optimization under constraints on the robustness and sensitivity to measurement noise. The high closed-loop system performance and robustness are obtained using the same controller in all loops. The method is effective despite the values and positions of the right half plane zeros and dead-times in the process transfer function matrix Gp(s). The validity of the proposed multivariable control system design and tuning method is confirmed using a test batch consisting of Two-Input Two-Output (TITO) stable, integrating and unstable processes, and one Three-Input Three-Output (TITO) stable process.

[1]  Tore Hägglund,et al.  Decoupler and PID controller design of TITO systems , 2006 .

[2]  Sigurd Skogestad,et al.  Simple analytic rules for model reduction and PID controller tuning , 2003 .

[3]  Hsiao-Ping Huang,et al.  Decoupling Multivariable Control with Two Degrees of Freedom , 2006 .

[4]  Saeed Tavakoli,et al.  Tuning of decentralised PI (PID) controllers for TITO processes , 2006 .

[5]  A. Nazli Gündes,et al.  Reliable decentralized PID controller synthesis for two-channel MIMO processes , 2009, Autom..

[6]  Thomas F. Edgar,et al.  Static decouplers for control of multivariable processes , 2005 .

[7]  R. D. Johnston,et al.  Enhanced multiloop feedback control , 1989 .

[8]  Karl Henrik Johansson,et al.  Design of decoupled PI controllers for two-by-two systems , 2002 .

[9]  Furong Gao,et al.  Analytical decoupling control strategy using a unity feedback control structure for MIMO processes with time delays , 2007 .

[10]  Miroslav R. Mataušek,et al.  Revisiting the Ziegler–Nichols process dynamics characterization , 2010 .

[11]  Miroslav R. Mataušek,et al.  Modified internal model control approach to the design and tuning of linear digital controllers , 2002, Int. J. Syst. Sci..

[12]  Tomislav B. Sekara,et al.  Optimization of PID Controller Based on Maximization of the Proportional Gain Under Constraints on Robustness and Sensitivity to Measurement Noise , 2009, IEEE Transactions on Automatic Control.

[13]  Graham C. Goodwin,et al.  Control System Design , 2000 .