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Partially Mode-dependent Asynchronous Filtering of T-S Fuzzy MSRSNSs with Parameter Uncertainty

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  • Intelligent Control and Applications
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Abstract

The issue of fuzzy filtering for Markov switching repeat scalar nonlinear systems (MSRSNSs) with parameter uncertainty is explored. With consideration of uncertainty, a more general class of MSRSNSs is inferred. By resorting to a hidden Markov model technique, the asynchronous partially mode-dependent filter is established, in which the filter modes operate asynchronously with the target plant ones. By constructing the diagonally dominant-type Lyapunov functional, sufficient conditions are derived to ensure that the filtering error MSRSNS is stochastically stable with a desired H∞ performance index. Two simulation examples are given to validate the correctness and applicability of the presented theoretical results.

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Author information

Authors and Affiliations

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, China

    **a Zhou & Lulu Chen

  2. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, China

    Jun Cheng

  3. School of Electronic Information and Electrical Engineering Chengdu University, Sichuan Chengdu, 610106, China

    Kaibo Shi

Authors
  1. **a Zhou
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  2. Lulu Chen
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Corresponding author

Correspondence to **a Zhou.

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This work was supported by Guangxi Science and Technology Base and Specialized Talents (No. Guike AD18281026, No. Guike AD20159057), the Training Program for 1,000 Young and Middle-aged Cadre Teachers in Universities of Guangxi Province, the Innovation Project of Graduate in Guangxi Province (No. 2020YCXS082), Guangxi Natural Science Foundation on Project (No.2017GXNSFBA198179, NO. 2020GXNSFAA159049, No. 2020GXNSFFA297003), Natural Science Foundation of China (No. 12161024), and Natural Science Foundation of Guangxi Province (No. 2021GXNSFAA196045).

**a Zhou received her B.S. degree in mathematics and applied mathematics from Shaanxi Normal University in 2003. From 2006 to 2011, she studied in the University of Electronic Science and Technology of China, and got a Ph.D. degree in 2011. From 2015 to 2016, she was a visiting scholar of the University of Waterloo, Canada. She is currently a professor in the Guilin University of Electronic Technology, Guangxi, China. Her current research interests include stochastic differential dynamic systems and nonlinear stochastic systems.

Lulu Chen received her B.S. degree in 2019, She is currently working toward an M.S. degree in the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guangxi, China. Her research interests include Markov jump systems, networked control systems and nonlinear systems.

Jun Cheng received his B.S. degree in mathematics and applied mathematics from the Hubei University for Nationalities, Enshi, China, in 2010, and a Ph.D. degree in instrumentation science and technology from the University of Electronic Science and Technology of China, Chengdu, China, in 2015. From 2013 to 2014, he was a Visiting Scholar with the Department of Electrical and Computer Engineering, National University of Singapore, Singapore. From 2016 to 2018, he was a Visiting Scholar with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea. He is currently a Professor with the Guangxi Normal University, China. Prof. Cheng is an Associate Editor of the International Journal of Control, Automation, and Systems. His current research interests include analysis and synthesis for stochastic hybrid systems, networked control systems, robust control, and nonlinear systems.

Kaibo Shi received his Ph.D. degree from the School of Automation Engineering at the University of Electronic Science and Technology of China. He is a professor of the School of Information Sciences and Engineering, Chengdu University. From September 2014 to September 2015, he was a visiting scholar at the Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada. He was Research Assistant with the Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Taipa, from May 2016 to Jun 2016 and January 2017 to October 2017. He was also a Visiting Scholar with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea, from December 2019 to January 2020. His current research interests include stability theorem, robust control, sampled-data control systems, networked control systems, Lurie chaotic systems, stochastic systems and neural networks. He is the author or coauthor of over 60 research articles. He is a very active reviewer for many international journals.

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Zhou, X., Chen, L., Cheng, J. et al. Partially Mode-dependent Asynchronous Filtering of T-S Fuzzy MSRSNSs with Parameter Uncertainty. Int. J. Control Autom. Syst. 20, 298–309 (2022). https://doi.org/10.1007/s12555-020-0892-9

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