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Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control

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  • Intelligent Control and Applications
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Abstract

This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-based integral inequalities (SAFBII, and DAFBII, respectively), a new class of delay-dependent adequate conditions are proposed, so that the robust fuzzy neutral-type system under consideration is guaranteed to be globally asymptotically stable (GAS). Secondly, the intermittent control (IC) is introduced to stabilize the system with mixed time-varying delays. In the view of inferred adequate conditions, the IC parameters are determined as for the arrangement of linear matrix inequalities (LMIs). It is noted that the strategies exploited in this work are apart from the other methods engaged in the literature, and the proposed conditions are less conservative. Finally, numerical examples are given to demonstrate the effectiveness of the developed techniques in this work. One of the practical applications is single-link robot arm (SLRA) model to show the viability and benefits of the structured intermittent control.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand, 83000

    R. Vadivel, B. Unyong & P. Hammachukiattikul

  2. School of Mechanical Engineering, Pusan National University, Busan, 46241, Korea

    S. Saravanan & Keum-Shik Hong

  3. Department of Industrial Engineering, Pusan National University, Busan, Korea

    Gyu M. Lee

Authors
  1. R. Vadivel
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  2. S. Saravanan
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  4. P. Hammachukiattikul
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  5. Keum-Shik Hong
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Correspondence to Gyu M. Lee.

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Recommended by Associate Editor Xiao-Heng Chang under the direction of Editor Jessie (Ju H.) Park. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2018R1A2B3008890 and 2020R1A2B5B03096000).

R. Vadivel received his B.S., M.Sc., and M.Phil. degrees in mathematics from Sri Ramakrishna Mission Vidyalaya College of Arts and Science affiliated to Bharathiar University, Coimbatore, Tamil Nadu, India, in 2007, 2010, and 2012, respectively. He was awarded a Ph.D. degree in 2018 from the Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India. He was a Post-Doctoral Research Fellow in the Research Center forWind Energy Systems, Kunsan National University, Gunsan, Korea, from 2018 to 2019. Currently, he is working as a lecturer at the Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Thailand.

S. Saravanan received his B.S. degree from the Department of Mathematics, Government arts college Thiruvannamalai, affiliated to Thiruvalluvar University, Vellore, Tamil Nadu, India, in 2011 and received an M.Sc. degree in mathematics from Madras Christian College, University of Madras, Chennai, Tamil Nadu, India, in 2013. He received a Ph.D. degree in mathematics from Thiruvalluvar University, Vellore, Tamil Nadu, India, in 2018. He worked as a Visiting Research Fellow in the Department of Industrial Engineering, Pusan National University and as a PNU Post-Doctoral Research Fellow in the School of Mechanical Engineering, Pusan National University, Busan, Korea. He serves as a reviewer for various SCI journals. His research interests include finite-time control of time-delay system, stochastic stability, nonlinear systems, Markovian jump systems, and Multi-agent systems.

B. Unyong received his Ph.D. degree in mathematics from Mahidol University, Thailand, in 2004. He is currently working as an Assistant Professor in the Department of mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand. He was an experienced recipient of the funding from Thai Government. His research interests include mathematical model, epidemic diseases control model under the effect of climate change, oceanic model, atmospheric model, Lyapunov theory and neural network.

P. Hammachukiattikul received her Ph.D. degree in Applied Mathematics from the King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand. She is currently working at the Department of Mathematics, Phuket Rajabhat University (PKRU), Phuket, Thailand. Her research interests include mathematic model, climate change, atmospheric model, Lyapunov theory and neural networks, stability analysis of dynamical systems, synchronization, and chaos theory.

Keum-Shik Hong received his B.S. degree in Mechanical Design and Production Engineering from Seoul National University in 1979, his M.S. degree in Mechanical Engineering from Columbia University, New York, in 1987, and both an M.S. degree in Applied Mathematics and a Ph.D. in Mechanical Engineering from the University of Illinois at Urbana-Champaign (UIUC) in 1991. He joined the School of Mechanical Engineering at Pusan National University (PNU) in 1993. His Integrated Dynamics and Control Engineering Laboratory was designated a National Research Laboratory by the Ministry of Science and Technology of Korea in 2003. In 2009, under the auspices of the World Class University Program of the Ministry of Education, Science and Technology (MEST) of Korea, he established the Department of Cogno-Mechatronics Engineering, PNU. Dr. Hong served as Associate Editor of Automatica (2000–2006), as Editor-in-Chief of the Journal of Mechanical Science and Technology (2008–2011), and is serving as Editor-in-Chief of the International Journal of Control, Automation, and Systems. He was a past President of the Institute of Control, Robotics and Systems (ICROS), Korea, and is President-Elect of Asian Control Association. He was the Organizing Chair of the ICROS-SICE International Joint Conference 2009, Fukuoka, Japan. He is an IEEE Fellow, a Fellow of the Korean Academy of Science and Technology, an ICROS Fellow, a Member of the National Academy of Engineering of Korea, and many other societies. He has received many awards including the Best Paper Award from the KFSTS of Korea (1999), the F. Harashima Mechatronics Award (2003), the IJCAS Scientific Activity Award (2004), the Automatica Certificate of Outstanding Service (2006), the Presidential Award of Korea (2007), the ICROS Achievement Award (2009), the IJCAS Contribution Award (2010), the Premier Professor Award (2011), the JMST Contribution Award (2011), the IJCAS Contribution Award (2011), the IEEE Academic Award of ICROS (2016), etc. Dr. Hong’s current research interests include brain-computer interface, nonlinear systems theory, adaptive control, distributed parameter systems, autonomous vehicles, and innovative control applications in brain engineering.

Gyu M. Lee is a professor in the Department of Industrial Engineering at Pusan National University. He received his B.S. and M.S. degrees in Industrial Engineering from Seoul National University and a Ph.D. degree in Industrial Engineering from The Pennsylvania State University. He had held the professorship in University of Arizona, Northeastern University, University of Illinois, Oregon State University and POSTECH before he joined Pusan National University. He was an associate editor of Decisions Science Journal (SSCI, SCI), International Journal of Services and Operations Management, International Journal of Experimental Design and Process Optimisation and Journal of the Korean Institute of Industrial Engineering. He is currently the editor-in-chief of International Journal of Industrial Engineering: Theory, Applications and Practice (SCI). He organized many international conferences and gave many keynote speeches in many international venues. His research interests include the data analytics, algorithms and computational intelligence, discrete optimization, dynamic systems, and stochastic optimization.

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Vadivel, R., Saravanan, S., Unyong, B. et al. Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control. Int. J. Control Autom. Syst. 19, 1408–1425 (2021). https://doi.org/10.1007/s12555-020-0526-2

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