Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

Younes Solgi, Alireza Fatehi, Ala Shariati. Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System[J]. International Journal of Automation and Computing. doi: 10.1007/s11633-020-1222-7
 Citation: Younes Solgi, Alireza Fatehi, Ala Shariati. Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System[J]. International Journal of Automation and Computing.

## Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

###### Author Bio: Younes Solgi received the B. Sc. and M. Sc. degrees in electrical engineering from the Bu Ali Sina University, Hamedan, Iran in 2012 and 2014 recpectively. He is curently a Ph. D. degree candidate at K.N. Toosi University of Technology (KNTU), Tehran, Iran. His research interests include stability analysis, process control systems, robust control, and intelligent systems. E-mail: younes.solgi@email.kntu.ac.ir ORCID iD: 0000-0003-1279-0153 Alireza Fatehi received the B. Sc. degree from the Isfahan University of Technology, Isfahan, Iran in 1990, the M. Sc. degree from Tehran University, Iran in 1995, and the Ph. D. degree from Tohoku University, Japan in 2001, all in electrical engineering. He is an associate professor of electrical engineering with the K.N. Toosi University of Technology (KNTU), Iran. He is the Director of Advanced Process Automation and Control Research Group and a member of the Industrial Control Center of Excellence, KNTU. From 2013 to 2015, he was a visiting professor with the Department of Chemical and Materials Engineering, University of Alberta, Canada. His research interests include industrial control systems, process control systems, intelligent systems, multiple model controller, nonlinear predictive controller, nonlinear identification, fault detection, and soft sensor. E-mail: fatehi@kntu.ac.ir (Corresponding author) ORCID iD: 0000-0001-8719-8459 Ala Shariati received the B. Sc. degree in control engineering from Tehran University, Iran in 1998, and the M. Sc. and Ph. D. degrees in control engineering from K.N. Toosi University of Technology, Iran in 2003 and 2012, respectively. She was a Postdoctoral Fellow at University of Alberta from March to August 2014. She is currently a research assistant in APAC research group of K.N. Toosi University of Technology, Iran. Her research interests include time-delay systems, robust control, multi-agent systems and teleoperation systems. E-mail: alashariati@gmail.com ORCID iD: 0000-0002-9460-2904
• Figure  1.  States of the system (a=0.65)

Figure  2.  Non-monotonic Lyapunov functional (a=0.65)

Figure  3.  The increasing steps in NMLKF for (a=0.65)

Figure  4.  Robust non-monotonic Lyapunov functional of Example 3

Figure  5.  Step response of the coupled tank with $\pm 10\%$ disturbance

Figure  6.  Neutralization pH process plant

Figure  7.  Schematic diagram of the pH neutralization process

Figure  8.  Control loops in pH neutralization process

Figure  9.  The convergence procedure of the controller gain (F) and integrator gain (H)

Figure  10.  Reference tracking response

Figure  11.  Control signal (Base feed rate)

Figure  12.  Non-Monotonic Lyapunov-Krasovskii functional

Figure  13.  Reference tracking response in the experimental study of pH neutralization

Figure  14.  Control signal (Base feed rate) in the experimental study of pH neutralization

Figure  15.  Level of CSTR in pH process plant

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##### 出版历程
• 收稿日期:  2019-09-16
• 录用日期:  2020-01-07
• 网络出版日期:  2020-04-14

## Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

### English Abstract

Younes Solgi, Alireza Fatehi, Ala Shariati. Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System[J]. International Journal of Automation and Computing. doi: 10.1007/s11633-020-1222-7
 Citation: Younes Solgi, Alireza Fatehi, Ala Shariati. Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System[J]. International Journal of Automation and Computing.

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