Volume 15 Number 1
February 2018
Article Contents
Ana Paula Batista and Fábio Gonçalves Jota. Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller. International Journal of Automation and Computing, vol. 15, no. 1, pp. 39-51, 2018. doi: 10.1007/s11633-017-1099-2
Cite as: Ana Paula Batista and Fábio Gonçalves Jota. Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller. International Journal of Automation and Computing, vol. 15, no. 1, pp. 39-51, 2018.

# Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller

Author Biography:
• Ana Paula Batista received the B. Eng. degree in electrical industrial engineering from the Federal Center of Technological Education (CEFET-MG), M. Eng., Brazil in 2004, the M. Eng. degree in control systems from the Federal University of Minas Gerais (UFMG), Brazil in 2006, and the Ph.D. degree from the Federal University of Minas Gerais (UFMG), Brazil in 2014. She is currently a professor with Department of Electrical Engineering, CEFET-MG.     Her research interests include networked control systems, monitoring and control systems, and energy efficiency.    E-mail: anapaula@des.cefetmg.br (Corresponding author)     ORCID-iD: 0000-0001-9847-1203

Fábio Gonçalves Jota received the B. Eng. degree in electronics engineering and telecommunications from the Pontifical Catholic University of Minas Gerais (PUC/MG), Brazil in 1978, the M. Eng. degree from the Polytechnic School, University of São Paulo, São Paulo, in 1982, and the Ph.D. degree from the University of Oxford, UK in 1987. He was postdoctoral fellow with the University of Newcastle, Australia in 1997. He was the coordinator with the Graduate Program in Electrical Engineering and the Director with the Centre for Research and Development in Electrical Engineering, both UFMG, in 1994 and 1995. From 1999 to 2002, he was the coordinator with the undergraduate course in control and automation Engineering, UFMG. He is now a retired professor of control, automation and instrumentation from Federal University of Minas Gerais, Brazil.     His research interests include industrial control and instrumentation, adaptive control, networked control systems, monitoring and control systems for smart grid, energy efficiency and juridical aspects of the automatic control.    E-mail: fgjota@ufmg.br     ORCID-iD: 0000-0002-1040-3247

• Accepted: 2017-07-06
• Published Online: 2017-10-16
Fund Project:  This work was supported by the Energy Utility Company of Minas Gerais (CEMIG)
• In this paper, some issues related to design and analysis of real networked control systems (NCS) under the focus of the most likely region of stability are addressed. Such a system is cumbersome due to its inherent variable time delays, ranging from microseconds to hours. To show the influence of such huge variations in the control performance, a laboratory-scale luminosity system has been setup using the Internet as part of the control loop with dominant time constant in the order of milliseconds. Proportional and integral (PI) control strategies with and without explicit compensation for the time-delay variations were implemented using an event-driven controller. Using the well-known Monte Carlo method and subsequent analyses of time responses, it has been possible to identify the most likely region of stability. Some experimental results show the influence of the statistical parameters of the delays on the determination of the most likely regions of stability of the NCS and how these can be used in assessment and redesign of the control system. The experiments show that much larger delays than one sample period can be supported by real NCSs without becoming unstable.
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## Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller

###### 1. Centre for Intelligent Energy Research, Federal Centre of Technological Education of Minas Gerais, Belo Horizonte, Brazil2. Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil
Fund Project:  This work was supported by the Energy Utility Company of Minas Gerais (CEMIG)

Abstract: In this paper, some issues related to design and analysis of real networked control systems (NCS) under the focus of the most likely region of stability are addressed. Such a system is cumbersome due to its inherent variable time delays, ranging from microseconds to hours. To show the influence of such huge variations in the control performance, a laboratory-scale luminosity system has been setup using the Internet as part of the control loop with dominant time constant in the order of milliseconds. Proportional and integral (PI) control strategies with and without explicit compensation for the time-delay variations were implemented using an event-driven controller. Using the well-known Monte Carlo method and subsequent analyses of time responses, it has been possible to identify the most likely region of stability. Some experimental results show the influence of the statistical parameters of the delays on the determination of the most likely regions of stability of the NCS and how these can be used in assessment and redesign of the control system. The experiments show that much larger delays than one sample period can be supported by real NCSs without becoming unstable.

Ana Paula Batista and Fábio Gonçalves Jota. Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller. International Journal of Automation and Computing, vol. 15, no. 1, pp. 39-51, 2018. doi: 10.1007/s11633-017-1099-2
 Citation: Ana Paula Batista and Fábio Gonçalves Jota. Analysis of the Most Likely Regions of Stability of an NCS and Design of the Corresponding Event-driven Controller. International Journal of Automation and Computing, vol. 15, no. 1, pp. 39-51, 2018.
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