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Robust H∞ State-feedback Control for Nonlinear Uncertain Systems with Mixed Time-varying Delays

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  • Control Theory and Applications
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Abstract

This paper presents a new less conservative stability and H∞ state-feedback controller design of nonlinear uncertain systems with discrete interval and distributed time-varying delays. The main objective of this work is to attain robust asymptotic stability of concerned nonlinear system with H∞ performance index. By constructing suitable Lyapunov-Krasovskii functional (LKF) with quadruple integral terms, sufficient conditions are obtained for delay-dependent robust H∞ state-feedback control in the form of linear matrix inequalities (LMIs). Finally, numerical examples are added to show the advantage and usefulness of this work.

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Authors and Affiliations

  1. Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, 573-701, Korea

    R. Saravanakumar & Young Hoon Joo

  2. Department of Mathematics, Thiruvalluvar University, Vellore, 632115, Tamil Nadu, India

    M. Syed Ali

  3. School of Electronics and Information Engineering, Soochow University, Suzhou, 215006, China

    He Huang

  4. Department of Mathematics, Southeast University, Nanjing, 210018, China

    Jinde Cao

Authors
  1. R. Saravanakumar
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  2. M. Syed Ali
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  3. He Huang
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  4. Jinde Cao
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  5. Young Hoon Joo
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Corresponding author

Correspondence to Young Hoon Joo.

Additional information

Recommended by Associate Editor Do Wan Kim under the direction of Editor Duk-Sun Shim. This work was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1A6A1A03013567), the Korea government (MEST) (NRF-2015R1A2A2A05001610) and by the National Natural Science Foundation of China under Grant no 61273122.

R. Saravanakumar received the Ph.D. degree in Mathematics from Thiruvalluvar University, Vellore, India, in 2016. He was a Junior Research Fellow with the National Board for Higher Mathematics (DAE), Government of India, Mumbai, India, from 2012 to 2015. He is currently Post-Doctoral Research Fellow with the Research Center ofWind Energy Systems, Kunsan National University, Gunsan, South Korea. He has authored and co-authored over 25 research articles in various SCI journals holding impact factors. His current research interests include robust H∞ control, wind turbine control, networked control systems, state estimation, neural networks, stochastic, Markovian Jump, and memristor systems. He serves as a Reviewer for various SCI journals.

M. Syed Ali was conferred with Doctor of Philosophy in 2010 in the field of Math- ematics specialized in the area of Fuzzy Neural Networks in Gandhigram Rural University, Gandhigram, India. Since March 2011 he is working as an Assistant Professor in Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India. His research interests include stochastic differential equations, dynamical systems, fuzzy neural networks, complex networks and cryptography.

He Huang received the Ph.D. degree in automatic control from City University of Hong Kong in 2009. He is currently an associate professor at the School of Electronics and Information Engineering, Soochow University. His research interests include neural networks, stochastic systems, nonlinear systems and applied mathematics. Dr. Huang is an associate editor of Neurocomputing, Neural Processing Letters, and Circuits, Systems, & Signal Processing.

Jinde Cao is currently a Distinguished Professor, the Dean of School of Mathematics, and the Director of the Research Center for Complex Systems and Network Sciences with Southeast University. He is currently an Associate Edior of IEEE Transactions on Cybernetics, IEEE TRANSACTIONS ON COGNITIVE AND DEVELOPMENTAL SYSTEMS, Neural Networks, Nonlinear Analysis: Modeling and Control, Mathematics and Computers in Simulation, Journal of The Franklin Institute, and Advances in Difference Equations. He has been named as the Highly-Cited Researcher in engineering, computer science, and mathematics by Thomson Reuters. He received the National Award for Excellence in Innovation (2017).

Young Hoon Joo received the B.S., M.S., and Ph.D. degrees in Electrical Engineering from Yonsei University, Seoul, Korea, in 1982, 1984, and 1995, respectively. He worked with Samsung Electronics Company, Seoul, Korea, from 1986 to 1995, as a project manager. He was with the University of Houston, Houston, TX, from 1998 to 1999, as a visiting professor in the Department of Electrical and Computer Engineering. He is currently a professor in the Department of Control and Robotics Engineering, Kunsan National University, Korea. His major interest is mainly in the field of intelligent control, intelligent robot,human-robot interaction, wind-farm control, power system stabilization, and intelligent surveillance systems. He served as President for Korea Institute of Intelligent Systems (KIIS) (2008-2009) and as the Editor-in-Chief for the International Journal of Control, Automation, and Systems (IJCAS) (2014-2017) and Next President of Korean Institute of Electrical Engineers (KIEE) (2018).

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Saravanakumar, R., Ali, M.S., Huang, H. et al. Robust H∞ State-feedback Control for Nonlinear Uncertain Systems with Mixed Time-varying Delays. Int. J. Control Autom. Syst. 16, 225–233 (2018). https://doi.org/10.1007/s12555-017-9263-6

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  • DOI: https://doi.org/10.1007/s12555-017-9263-6

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