Regular Papers

International Journal of Control, Automation and Systems 2007; 5(5): 515-525

© The International Journal of Control, Automation, and Systems

Stochastic Optimal Control and Network Co-Design for Networked Control Systems

Kun Ji and Won-jong Kim*

Texas A&M University, Korea

Abstract

In this paper, we develop a co-design methodology of stochastic optimal controllers and network parameters that optimizes the overall quality of control (QoC) in networked control systems (NCSs). A new dynamic model for NCSs is provided. The relationship between the system stability and performance and the sampling frequency is investigated, and the analysis of co-design of control and network parameters is presented to determine the working range of the sampling frequency in an NCS. This optimal sampling frequency range is derived based on the system dynamics and the network characteristics such as data rate, time-delay upper bound, data-packet size, and device processing time. With the optimal sampling frequency, stochastic optimal controllers are designed to improve the overall QoC in an NCS. This co-design methodology is a useful rule of thumb to choose the network and control parameters for NCS implementation. The feasibility and effectiveness of this co-design methodology is verified experimentally by our NCS test bed, a ball magnetic-levitation (maglev) system.

Keywords Co-design, networked control system, optimal control, quality of control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2007; 5(5): 515-525

Published online October 1, 2007

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

Stochastic Optimal Control and Network Co-Design for Networked Control Systems

Kun Ji and Won-jong Kim*

Texas A&M University, Korea

Abstract

In this paper, we develop a co-design methodology of stochastic optimal controllers and network parameters that optimizes the overall quality of control (QoC) in networked control systems (NCSs). A new dynamic model for NCSs is provided. The relationship between the system stability and performance and the sampling frequency is investigated, and the analysis of co-design of control and network parameters is presented to determine the working range of the sampling frequency in an NCS. This optimal sampling frequency range is derived based on the system dynamics and the network characteristics such as data rate, time-delay upper bound, data-packet size, and device processing time. With the optimal sampling frequency, stochastic optimal controllers are designed to improve the overall QoC in an NCS. This co-design methodology is a useful rule of thumb to choose the network and control parameters for NCS implementation. The feasibility and effectiveness of this co-design methodology is verified experimentally by our NCS test bed, a ball magnetic-levitation (maglev) system.

Keywords: Co-design, networked control system, optimal control, quality of control.

IJCAS
May 2024

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

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