Multivariable model-based control strategies for level control in a quadruple tank process

This paper presents three model-based control strategies applied to a multivariable process. First, a simple and rather naive approach is employed, i.e. treating the process as two SISO (Single Input Single Output) loops and design PID controllers. Obviously, this approach is effective, but does not take into account the interaction between the loops. Next, interaction is compensated by using dynamic decouplers and control performance is improved. Finally, a multivariable IMC (Internal Model Control) method is applied. All the results were validated on the laboratory setup with coupled quadruple tanks from Quanser. This is an interesting and challenging testbed for control, i.e. it poses non-minimum phase transmission zeros. Our experimental results show that the IMC outperforms the PID control at the cost of additional design complexity. All controllers were successfully tested for setpoint trajectory and disturbance rejection and tackled well the noise in the system.

[1]  DOWNLOAD HERE,et al.  Process Control: Modeling, Design and Simulation , 2003 .

[2]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[3]  Karl Henrik Johansson,et al.  The quadruple-tank process: a multivariable laboratory process with an adjustable zero , 2000, IEEE Trans. Control. Syst. Technol..

[4]  K.J. Astrom,et al.  Design of decoupled PID controllers for MIMO systems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[5]  Richard H. Middleton,et al.  Design rules for multivariable feedback systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[6]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[7]  Karl Henrik Johansson,et al.  Teaching multivariable control using the quadruple-tank process , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[8]  E. Bristol On a new measure of interaction for multivariable process control , 1966 .

[9]  W. Cai,et al.  Normalized Decoupling —A New Approach for MIMO Process Control System Design , 2008 .

[10]  Robin De Keyser,et al.  FRtool: A frequency response tool for CACSD in Matlab® , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[11]  B. Bequette,et al.  Process Control: Modeling, Design and Simulation , 2003 .

[12]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[13]  P. J. Campo,et al.  Achievable closed-loop properties of systems under decentralized control: conditions involving the steady-state gain , 1994, IEEE Trans. Autom. Control..

[14]  Fabricio Garelli,et al.  Limiting interactions in decentralized control of MIMO systems , 2006 .