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AUTHOR(S):

Samer Mansour, Jalal Karam

 

TITLE

Simulations of Average Simplified Predictive Control
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ABSTRACT

This work presents an alternative to the least squares optimization used in Dynamic Matrix Control (DMC). Instead of calculating future moves by minimizing the sum of the squares of the future errors (least squares), each future error is individually minimized. Each minimization results in an individual recommendation for the lone future move and the actuated move would be an average of all the individual recommendations. The work presents an analytical study of the closed-loop dynamics of the method and it is used here mainly to prove the ability of the method to perform control as well as estimate the closed-loop time constants. The performance of the method is illustrated and compared to a benchmark DMC via simulation.

 

KEYWORDS

Model Predictive Control; Dynamic Matrix Control; Least Squares Alternative

 

REFERENCES

[1] C. R. Cutler and B. L. Ramaker, “Dynamic Matrix Control - a Computer Control Algorithm,” Proceedings of the Joint Automatic Control Conference, San Francisco, no. WP5-C, 1980.

[2] Yash P. Gupta, “A Simplified Predictive Control Approach for Handling Constraints through Linear Programming”, Computers in Industry, vol. 21, no. 3, pp. 255-265, 1993.

[3] S. E. Mansour, “Tuning Proportiona-Integral Controllers to Approximate Simplified Predicitve Control Performance”, ISA Transactions, vol. 48, no. 4, pp. 417-422, 2009.

[4] G. C. Kember, R. Dubay, and S. E. Mansour, “Continuous Analysis of Move Suppressed and Shifted DMC”, ISA Transactions, vol. 44, no. 1, pp. 69-80, 2005.

[5] Laszlo Richard Toth, Lajos Nagy, and Ferenc Szeifert, “Similiraties of Model Predictive Control and Constrained Inverse”, Intelligent Control and Automation, vol.3,no.4,pp.226-232,2012, doi: 10.4236/ica.2012.33032

[6] M. Abbaszadeh, “Nonlinear Multiple Model Predictive Control of Solution Polymerization of Methyl Methacrylate”, Intelligent Control and Automation, vol. 2, no. 3, pp. 226 -232, 2011.doi:10.4236/ica.2011.23027

Cite this paper

Samer Mansour, Jalal Karam. (2017) Simulations of Average Simplified Predictive Control. International Journal of Control Systems and Robotics, 2, 128-131

 

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