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Dissipative Filtering of Interval Type-2 Fuzzy Singular Time-delay Systems via Event-triggering Mechanism

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  • Intelligent Control and Applications
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Abstract

In this paper, the problem of dissipativity filtering for discrete-time nonlinear singular systems with distributed delays is addressed. An interval type-2 fuzzy model is employed to represent the nonlinear singular systems of which the parameter uncertainties are captured by interval type-2 membership functions characterized by lower and upper membership functions. Based on event-triggering scheme, an interval type-2 filter is proposed. By adopting the idea of input delay method, the filtering error systems is reformulated as a new event-triggering interval type-2 fuzzy singular systems with mixed time-delays. By using an improved reciprocally convex combination approach and some new techniques on matrix convexification to bound the forward difference of the double and the triple summation terms in the Lyapunov function, two less conservatism conditions have been derived. The event-triggered dissipative filter gains and the event-triggering parameters are obtained to determine the filter error singular systems admissible and dissipative. A numerical example is given to illustrate the effectiveness of this proposed method.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Yanan University, Yan’an, 716000, China

    Jiangrong Li

  2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China

    Zhiguang Feng

  3. Department of Control Science and Engineering, Tongji University, Shanghai, 200092, China

    Changzhu Zhang

  4. College of Engineering and Science, Victoria University, Melbourne, VIC, 3011, Australia

    Juan Shi

Authors
  1. Jiangrong Li
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  2. Zhiguang Feng
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  3. Changzhu Zhang
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  4. Juan Shi
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Corresponding author

Correspondence to Jiangrong Li.

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This work was supported in part by the National Natural Science Foundation of China [grant numbers 61763045, 61763046], in part by the Natural Science Foundation of Shaanxi Province of China [grant number 2020JM-552] and in part by the Natural Science Foundation of Yanan University [grant number YDY2020-25].

Jiangrong Li received her B.S. degree in mathematics from Shaanxi Normal University, Xi’an, China, in 2001, an M.S. degree and a Ph.D. degree in applied mathematics from Xidian University, Xi’an, China, in 2006, 2012, respectively. From 2017 to 2018, she was a visiting fellow at Victoria University, Melbourne, Australia. She is currently a Professor at Yanan University, Yanan, China. Her research interests include fuzzy systems, singular systems, reachable set estimation, and dissipative control.

Zhiguang Feng received his B.S. degree in automation from Qufu Normal University, Rizhao, China, in 2006, an M.S. degree in control science and engineering from Harbin Institute of Technology, Harbin, China, in 2009, and a Ph.D. degree in the Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, in 2013. He was a Research Associate in the Department of Mechanical Engineering, University of Hong Kong, Hong Kong, from 2013 to 2015, he was a visiting fellow at University of Western Sydney, Australia. He was appointed with Victoria University in Australia as Postdoctoral Research Fellow from 2015 to 2017. In 2019, he was a Vice-Chancellor’s Postdoctoral Research Fellowship at University of Wollongong, NSW, Australia. He is currently a Professor at Harbin Engineering University, Harbin, China. His research interests include singular systems, time-delay systems, robust control, dissipative control, and reachable set estimation.

Changzhu Zhang received his B.S. degree in automation from Qufu Normal University, Rizhao, China, in 2007, an M.S. degree in control science and engineering from Harbin Institute of Technology, Harbin, China, in 2009, and a Ph.D. degree in mechatronics engineering from City University of Hong Kong, Hong Kong, in 2012. From 2013 to 2014, he was with the Institute of Advanced Study, Tongji University, Shanghai, China, as an Associate Research Fellow. From 2017 to 2018, he was a research fellow with the Department of Informatics, King’s College London, London, United Kingdom. Since 2014, he has been with the College of Electrical and Information Engineering, Tongji University, Shanghai, China, where he is currently an Associate Professor. His research interests include intelligent control, networked control systems, signal processing, and autonomous driving.

Juan Shi is an Associate Professor in the College of Engineering and Science at Victoria University (VU), Melbourne, Australia. She received her Bachelor of Engineering degree (Honours) in electrical engineering from Northeastern University, China, in 1988 and her Ph.D. degree in electrical engineering from VU, Melbourne, Australia in 1995. Her current research interests include intelligent control and its applications, smart energy systems, and robust autonomous navigation for mobile robots and vehicles.

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Li, J., Feng, Z., Zhang, C. et al. Dissipative Filtering of Interval Type-2 Fuzzy Singular Time-delay Systems via Event-triggering Mechanism. Int. J. Control Autom. Syst. 21, 1020–1031 (2023). https://doi.org/10.1007/s12555-021-1084-y

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  • DOI: https://doi.org/10.1007/s12555-021-1084-y

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