Regular Papers

International Journal of Control, Automation and Systems 2014; 12(2): 241-250

Published online May 11, 2017

https://doi.org/10.1007/s12555-012-0377-6

© The International Journal of Control, Automation, and Systems

Robust Stability Conditions for DMC Controller with Uncertain Time Delay

Yang Ge*, Jingcheng Wang*, and Chuang Li

Shanghai Jiao Tong University

Abstract

For Networked Control Systems (NCSs), the conventional Dynamic Matrix Control (DMC) may not applicable due to the unknown transmission delay. The uncertain time delay was usually converted to constant time delay by using registers. This paper addresses the stability problem for single-input-single-output (SISO) linear NCSs with uncertain time delay via DMC controller. A novel DMC controller which is effective for such NCSs has been proposed. Applying Jury’s dominant coefficient lemma, the sufficient stability and stabilization conditions are presented. Finally, numerical examples are given to demonstrate the theoretical results.

Keywords Dynamic matrix control, model predictive control, networked control systems, stability, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2014; 12(2): 241-250

Published online April 1, 2014 https://doi.org/10.1007/s12555-012-0377-6

Copyright © The International Journal of Control, Automation, and Systems.

Robust Stability Conditions for DMC Controller with Uncertain Time Delay

Yang Ge*, Jingcheng Wang*, and Chuang Li

Shanghai Jiao Tong University

Abstract

For Networked Control Systems (NCSs), the conventional Dynamic Matrix Control (DMC) may not applicable due to the unknown transmission delay. The uncertain time delay was usually converted to constant time delay by using registers. This paper addresses the stability problem for single-input-single-output (SISO) linear NCSs with uncertain time delay via DMC controller. A novel DMC controller which is effective for such NCSs has been proposed. Applying Jury’s dominant coefficient lemma, the sufficient stability and stabilization conditions are presented. Finally, numerical examples are given to demonstrate the theoretical results.

Keywords: Dynamic matrix control, model predictive control, networked control systems, stability, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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