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Circuits, Systems, and Signal Processing
Published in:

28-12-2023

Non-fragile Robust \(H_{\infty }\) Control for Nonlinear Uncertain Neutral Stochastic Fuzzy Systems with Mixed Time-Delays

Author: Thirumalaisamy Senthilkumar

Published in: Circuits, Systems, and Signal Processing | Issue 4/2024

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Abstract

This paper investigates the non-fragile robust \(H_{\infty }\) control problem of nonlinear uncertain neutral stochastic Takagi–Sugeno (T–S) fuzzy systems with mixed time-delays. The uncertainties are norm-bounded and time-varying. Sufficient conditions for \(H_{\infty }\) performance analysis results of the delay-dependent condition is established via the Lyapunov–Krasovskii functional (LKF) technique and linear matrix inequality (LMI) method. Based on the \(H_{\infty }\) performance result, a desired fuzzy control is designed by solving LMIs. Finally, an example is provided to illustrate the efficiency of the proposed method.
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Literature
1.
C.K. Ahn, P. Shi, H. Li, \(H_{\infty }\) output-feedback control with finite multiple measurement information. IEEE Trans. Autom. Control 63(8), 2588–2595 (2017)CrossRef
2.
W.H. Chen, W.X. Zheng, Y. Shen, Delay-dependent stochastic stability and \(H_{\infty }\) control of uncertain neutral stochastic systems with time delay. IEEE Trans. Autom. Control 54(7), 1660–1667 (2009)MathSciNetCrossRef
3.
P. Dorato, Non-fragile controller design: an overview, in Proceedings of the American Control Conference, Philadelphia (1998), pp. 2829–2831
4.
E. Fridman, New Lyapunov–Krasovskii functionals for stability of linear retard and neutral type systems. Syst. Control Lett. 43(4), 309–319 (2001)MathSciNetCrossRef
5.
K. Gu, V.L. Kharitonov, J. Chen, Stability of Time-Delay Systems (Birkhauser, Berlin, 2003)CrossRef
6.
J.K. Hale, Introduction to Functional Differential Equations (Springe-Verlag, New York, 1933)
7.
H. Huang, D.W.C. Ho, Delay-dependent robust control of uncertain stochastic fuzzy systems with time-varying delay. IET Control Theory Appl. 1(4), 1075–1085 (2007)MathSciNetCrossRef
8.
D.C. Huong, M.V. Thuan, Mixed \(H_{\infty }\) and passive control for fractional-order nonlinear systems via LMI approach. Acta Appl. Math. 170, 37–52 (2020)MathSciNetCrossRef
9.
H.R. Karimi, Robust delay-dependent \(H_{\infty }\) control of uncertain time-delay systems with mixed neutral, discrete and distributed time-delays and Markovian switching parameters. IEEE Trans. Circuits Syst. I 58(8), 1910–1923 (2011)MathSciNetCrossRef
10.
S. Lakshmanan, T. Senthilkumar, P. Balasubramaniam, Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Appl. Math. Modell. 35(11), 5355–5368 (2011)MathSciNetCrossRef
11.
H. Li, B. Chen, Q. Zhou, C. Lin, Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties. Int. J. Robust Nonlinear Control 18(15), 1482–1492 (2008)MathSciNetCrossRef
12.
H. Li, B. Chen, Q. Zhou, C. Lin, A delay-dependent approach to robust \(H_{\infty }\) control for uncertain stochastic systems with state and input delays. Circuits Syst. Signal Process. 28(1), 169–183 (2009)MathSciNetCrossRef
13.
H. Li, X. Jing, H.R. Karimi, Output-feedback-based \(H_{\infty }\) control for vehicle suspension systems with control delay. IEEE Trans. Ind. Electron. 61(1), 436–446 (2014)CrossRef
14.
X. Mao, Stochastic Differential Equations and Their Applications (Horwood, Chichester, 1997)
15.
V.T. Mai, T.H.T. Nguyen, H.S. Nguyen, T.T.H. Nguyen, New results on \(H_{\infty }\) control for nonlinear conformable fractional order systems. J. Syst. Sci. Complex 34(1), 140–156 (2021)MathSciNetCrossRef
16.
P. Niamsup, V.N. Phat, Robust finite-time control for linear time-varying delay systems with bounded control. Asian J. Control 18(6), 2317–2324 (2016)MathSciNetCrossRef
17.
J. Qiu, H. He, P. Shi, Robust stochastic stabilization and \(H_{\infty }\) control for neutral stochastic systems with distributed delays. Circuits Syst. Signal Process. 30(2), 287–301 (2011)MathSciNetCrossRef
18.
J. Qiu, Y. Wei, H.R. Karimi, New approach to delay-dependent \(H_{\infty }\) control for continuous-time Markovian jump systems with time-varying delay and deficient transition descriptions. J. Frankl. Inst. 352(1), 189–215 (2015)CrossRef
19.
N.H. Sau, D.T. Hong, N.T.T. Huyen, B.V. Huong, M.V. Thuan, Delay-dependent and order-dependent \(H_{\infty }\) control for fractional-order neural networks with time-varying delay. Differ. Equ. Dyn. Syst. 29(4), 825–839 (2021)MathSciNetCrossRef
20.
T. Senthilkumar, P. Balasubramaniam, Delay-dependent robust \(H_{\infty }\) control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays. Int. J. Syst. Sci. 42(5), 877–887 (2011)MathSciNetCrossRef
21.
T. Senthilkumar, P. Balasubramaniam, Non-fragile robust stabilization and \(H_{\infty }\) control for uncertain stochastic time delay systems with Markovian jump parameters and nonlinear disturbances. Int. J. Adapt. Control Signal Process. 28(3–5), 464–478 (2014)MathSciNetCrossRef
22.
B. Song, J.H. Park, Z.G. Wu, Y. Zhang, New results on delay-dependent stability analysis for neutral stochastic delay systems. J. Frankl. Inst. 350(4), 840–852 (2013)MathSciNetCrossRef
23.
T. Takagi, M. Sugeno, Fuzzy identification systems and it’s application to modeling and control. IEEE Trans. Syst. Man Cybern. 15(1), 116–132 (1985)CrossRef
24.
M.V. Thuan, N.H. Sau, N.T.T. Huyen, Finite-time \(H_{\infty }\) control of uncertain fractional-order neural networks. Comput. Appl. Math. 39(2), 59 (2020)MathSciNetCrossRef
25.
Z. Wang, D.W.C. Ho, X. Liu, A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 34(4), 570–576 (2004)CrossRef
26.
Y. Wei, J. Qiu, H.R. Karimi, Quantized filtering for continuous \(H_{\infty }\) time Markovian jump systems with deficient mode information. Asian J. Control 17(5), 1914–1923 (2015)MathSciNetCrossRef
27.
X. Xie, J. Lam, K.W. Kwok, A novel scheme of non-fragile controller design for periodic piecewise LTV systems. IEEE Trans. Ind. Electron. 67(12), 10766–10775 (2020)CrossRef
28.
S. Xu, T. Chen, Robust \(H_{\infty }\) control for uncertain stochastic systems with state delay. IEEE Trans. Autom. Control 47(12), 2089–2094 (2002)MathSciNetCrossRef
29.
S. Xu, J. Lam, B. Chen, Robust \(H_{\infty }\) control for uncertain fuzzy neutral delay systems. Eur. J. Control 10(4), 365–380 (2004)MathSciNetCrossRef
30.
S. Xu, P. Shi, Y. Chu, Y. Zou, Robust stochastic stabilization and \(H_{\infty }\) control of uncertain neutral stochastic time-delay systems. J. Math. Anal. Appl. 314(1), 1–16 (2006)MathSciNetCrossRef
31.
B. Zhang, S. Zhou, T. Li, A new approach to robust and non-fragile \(H_{\infty }\) control for uncertain fuzzy systems. Inf. Sci. 177(22), 5118–5133 (2007)MathSciNetCrossRef
32.
G. Zhuang, S. Xu, J. Xia, Q. Ma, Z. Zhang, A non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays. Appl. Math. Comput. 355, 21–32 (2019)MathSciNet
Metadata
Title
Non-fragile Robust Control for Nonlinear Uncertain Neutral Stochastic Fuzzy Systems with Mixed Time-Delays
Author
Thirumalaisamy Senthilkumar
Publication date
28-12-2023
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 4/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-023-02572-3

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