×

Event-triggered quantized \(\mathfrak{L}_2-\mathfrak{L}_{\infty}\) filtering for neural networks under denial-of-service attacks. (English) Zbl 1527.93308

Summary: This article deals with the reliable event-triggered quantized \(\mathfrak{L}_2-\mathfrak{L}_\infty\) filtering issue for neural networks with exterior interference under denial-of-service attacks. In order to lighten the load of communication channels and save network resources, a resilient event-triggered mechanism and a quantization scheme are employed, simultaneously. By applying a piecewise Lyapunov-Krasovskii functional method, sufficient conditions containing limitations of denial-of-service attacks are derived to guarantee that the filter error system is exponentially stable as well as possesses a prescribed \(\mathfrak{L}_2-\mathfrak{L}_\infty\) disturbance attenuation performance. Then, a co-design method of the desired quantized \(\mathfrak{L}_2-\mathfrak{L}_\infty\) filtering gain matrix and event-triggering parameter can be obtained provided that the linear matrix inequalities have a feasible solution. Finally, the usefulness of the proposed design method is demonstrated by a numerical example.
{© 2022 John Wiley & Sons Ltd.}

MSC:

93C65 Discrete event control/observation systems
93E11 Filtering in stochastic control theory
93B70 Networked control
93D23 Exponential stability
Full Text: DOI

References:

[1] HopfieldJJ. Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci. 1982;79(8):2554‐2558. · Zbl 1369.92007
[2] BoseBK. Neural network applications in power electronics and motor drives-An introduction and perspective. IEEE Trans Ind Electron. 2007;54(1):14‐33.
[3] OnomiT, MaenamiY, NakajimaK. Superconducting neural network for solving a combinatorial optimization problem. IEEE Trans Appl Supercond. 2010;21(3):701‐704.
[4] SchmidhuberJ. Deep learning in neural networks: an overview. Neural Netw. 2015;61:85‐117.
[5] CarpenterGA. Neural network models for pattern recognition and associative memory. Neural Netw. 1989;2(4):243‐257.
[6] ShiK, WangJ, ZhongS, TangY, ChengJ. Non‐fragile memory filtering of T‐S fuzzy delayed neural networks based on switched fuzzy sampled‐data control. Fuzzy Sets Syst. 2020;394:40‐64. · Zbl 1452.93021
[7] LiB, XiaJ, WeiS, ParkJH, SunZ. Command filter‐based event‐triggered adaptive neural network control for uncertain nonlinear time‐delay systems. Int J Robust Nonlinear Control. 2020;30(16):6363‐6382. · Zbl 1525.93247
[8] LuS, WangX. Observer‐based command filtered adaptive neural network tracking control for fractional‐order chaotic PMSM. IEEE Access. 2019;7:88777‐88788.
[9] YanZ, GuoT, ZhaoA, KongQ, ZhouJ. Reliable exponential
[( {\mathscr{H}}_{\infty } \]\) filtering for a class of switched reaction‐diffusion neural networks. Appl Math Comput. 2022;414:126661. · Zbl 1510.35156
[10] LuanX, LiuF, ShiP. H∞ filtering for nonlinear systems via neural networks. J Franklin Inst. 2010;347(6):1035‐1046. · Zbl 1201.93124
[11] ShiP, LiF, WuL, LimCC. Neural network‐based passive filtering for delayed neutral‐type semi‐Markovian jump systems. IEEE Trans Neural Netw Learn Syst. 2016;28(9):2101‐2114.
[12] ZhouY, LiuY, ZhouJ, WangZ. Quantized passive filtering for switched delayed neural networks. Nonlinear Anal Model Control. 2021;26(1):93‐112. · Zbl 1467.93318
[13] TaiW, ZuoD, XuanZ, ZhouJ, WangZ. Non‐fragile
[( {\mathfrak{L}}_2-{\mathfrak{L}}_{\infty } \]\) filtering for a class of switched neural networks. Math Comput Simul. 2021;185:629‐645. · Zbl 1540.93032
[14] ChoiHD, AhnCK, ShiP, LimMT, SongMK.
[( {\mathfrak{L}}_2-{\mathfrak{L}}_{\infty } \]\) filtering for Takagi‐Sugeno fuzzy neural networks based on Wirtinger‐type inequalities. Neurocomputing. 2015;153:117‐125.
[15] ChengJ, ParkJH, CaoJ, ZhangD. Quantized
[( {\mathscr{H}}_{\infty } \]\) filtering for switched linear parameter‐varying systems with sojourn probabilities and unreliable communication channels. Inf Sci. 2018;466:289‐302. · Zbl 1448.93323
[16] WangC, YangG. Adaptive decentralized fault‐tolerant tracking control for large‐scale nonlinear systems with input quantization. Int J Robust Nonlinear Control. 2018;28(9):3342‐3356. · Zbl 1396.93011
[17] DongS, SuH, ShiP, LuR, WuZ. Filtering for discrete‐time switched fuzzy systems with quantization. IEEE Trans Fuzzy Syst. 2016;25(6):1616‐1628.
[18] LiuT, HuangJ. Robust output regulation of discrete‐time linear systems by quantized output feedback control. Automatica. 2019;107:587‐590. · Zbl 1429.93076
[19] FuM, XieL. The sector bound approach to quantized feedback control. IEEE Trans Automat Contr. 2005;50(11):1698‐1711. · Zbl 1365.81064
[20] LiuY, ParkJH, GuoB, FangF, ZhouF. Event‐triggered dissipative synchronization for Markovian jump neural networks with general transition probabilities. Int J Robust Nonlinear Control. 2018;28(13):3893‐3908. · Zbl 1397.93199
[21] ShenY, LiF, ZhangD, WangY, LiuY. Event‐triggered output feedback
[( {\mathscr{H}}_{\infty } \]\) control for networked control systems. Int J Robust Nonlinear Control. 2019;29(1):166‐179. · Zbl 1411.93067
[22] LiuH, WangZ, FeiW, LiJ. Resilient
[( {\mathscr{H}}_{\infty } \]\) state estimation for discrete‐time stochastic delayed memristive neural networks: a dynamic event���triggered mechanism. IEEE Trans Cybern. 2020;1‐10.
[23] YangH, WangZ, ShenY, AlsaadiFE, AlsaadiFE. Event‐triggered state estimation for Markovian jumping neural networks: on mode‐dependent delays and uncertain transition probabilities. Neurocomputing. 2021;424:226‐235.
[24] ShiY, TianE, ShenS, ZhaoX. Adaptive memory‐event‐triggered
[( {\mathscr{H}}_{\infty } \]\) control for network‐based T‐S fuzzy systems with asynchronous premise constraints. IET Control Theory Appl. 2021;15:534‐544.
[25] QiW, ZongG, ZhengW. Adaptive event‐triggered SMC for stochastic switching systems with semi‐Markov process and application to boost converter circuit model. IEEE Trans Circuits Syst I Regul Pap. 2021;68(2):786‐796.
[26] QiW, HouY, ZongG, AhnCK. Finite‐time event‐triggered control for semi‐Markovian switching cyber‐physical systems with FDI attacks and applications. IEEE Trans Circuits Syst I Regul Pap. 2021;68(6):2665‐2674.
[27] LiuJ, TangJ, FeiS. Event‐triggered
[( {\mathscr{H}}_{\infty } \]\) filter design for delayed neural network with quantization. Neural Netw. 2016;82:39‐48. · Zbl 1429.93384
[28] PanY, YangG. Event‐triggered fault detection filter design for nonlinear networked systems. IEEE Trans Syst Man Cybern Syst. 2017;48(11):1851‐1862.
[29] ZhangT, GaoJ, LiJ. Event‐triggered
[( {\mathscr{H}}_{\infty } \]\) filtering for discrete‐time Markov jump delayed neural networks with quantizations. Syst Sci Control Eng. 2018;6(3):74‐84.
[30] ChenG, ChenY, WangW, LiY, ZengH. Event‐triggered reliable dissipative filtering for delayed neural networks with quantization. Circuits Syst Signal Process. 2021;40(2):648‐668. · Zbl 1485.93343
[31] LiuY, ShenB, ShuH. Finite‐time resilient
[( {\mathscr{H}}_{\infty } \]\) state estimation for discrete‐time delayed neural networks under dynamic event‐triggered mechanism. Neural Netw. 2020;121:356‐365. · Zbl 1443.93081
[32] WangH, DongR, XueA, PengY. Event‐triggered
[( {\mathfrak{L}}_2-{\mathfrak{L}}_{\infty } \]\) state estimation for discrete‐time neural networks with sensor saturations and data quantization. J Franklin Inst. 2019;356(17):10216‐10240. · Zbl 1425.93092
[33] LiuJ, WeiL, XieX, TianE, FeiS. Quantized stabilization for T‐S fuzzy systems with hybrid‐triggered mechanism and stochastic cyber‐attacks. IEEE Trans Fuzzy Syst. 2018;26(6):3820‐3834.
[34] HeH, QiW, LiuZ, WangM. Adaptive attack‐resilient control for Markov jump system with additive attacks. Nonlinear Dyn. 2021;103(2):1585‐1598. · Zbl 1517.93050
[35] ChengJ, ParkJH, WuZ, YanH. Ultimate boundedness control for networked singularly perturbed systems with deception attacks: a Markovian communication protocol approach. IEEE Trans Netw Sci Eng. 2021. doi:10.1109/TNSE.2021.3121414
[36] ZhangX, HanQ, GeX, DingL. Resilient control design based on a sampled‐data model for a class of networked control systems under denial‐of‐service attacks. IEEE Trans Cybern. 2019;50(8):3616‐3626.
[37] HuS, YueD, XieX, ChenX, YinX. Resilient event‐triggered controller synthesis of networked control systems under periodic DoS jamming attacks. IEEE Trans Cybern. 2018;49(12):4271‐4281.
[38] LiX, YeD. Asynchronous event‐triggered control for networked interval type‐2 fuzzy systems against DoS attacks. IEEE Trans Fuzzy Syst. 2020;29(2):262‐274.
[39] LiuY. Secure control of networked switched systems with random DoS attacks via event‐triggered approach. Int J Control Autom Syst. 2020;18(10):2572‐2579.
[40] LiuJ, YinT, ShenM, XieX, CaoJ. State estimation for cyber‐physical systems with limited communication resources, sensor saturation and denial‐of‐service attacks. ISA Trans. 2020;104:101‐114.
[41] SongJ, DingD, LiuH, WangX. Non‐fragile distributed state estimation over sensor networks subject to DoS attacks: the almost sure stability. Int J Syst Sci. 2020;51(6):1119‐1132. · Zbl 1483.93632
[42] ZhangL, NguangSK, YanS. Event‐triggered
[( {\mathscr{H}}_{\infty } \]\) control for networked control systems under denial‐of‐service attacks. Trans Inst Meas Control. 2021;43(5):1077‐1087.
[43] ZengP, DengF, LiuX, GaoX. Event‐triggered resilient
[( {\mathfrak{L}}_{\infty } \]\) control for Markov jump systems subject to denial‐of‐service jamming attacks. IEEE Trans Cybern. 2021;1‐13.
[44] LiuX, DengF, ZengP, GaoX, ZhaoX. Sampled‐data resilient control for hybrid nonlinear stochastic systems under periodic DoS attacks. IEEE Access. 2021;9:49881‐49889.
[45] GuZ, AhnCK, YueD, XieX. Event‐triggered
[( {\mathscr{H}}_{\infty } \]\) filtering for T‐S fuzzy‐model‐based nonlinear networked systems with multisensors against DoS attacks. IEEE Trans Cybern. 2020;1‐11.
[46] QuH, ZhaoJ. Event‐triggered
[( {\mathscr{H}}_{\infty } \]\) filtering for discrete‐time switched systems under denial‐of‐service. IEEE Trans Circuits Syst I Regul Pap. 2021;68(6):2604‐2615.
[47] ZhaL, LiuJ, CaoJ. Resilient event‐triggered consensus control for nonlinear muti‐agent systems with DoS attacks. J Franklin Inst. 2019;356(13):7071‐7090. · Zbl 1418.93253
[48] TianE, WangZ, ZouL, DongY. Chance‐constrained
[( {\mathscr{H}}_{\infty } \]\) control for a class of time‐varying systems with stochastic nonlinearities: the finite‐horizon case. Automatica. 2019;107:296‐305. · Zbl 1429.93090
[49] LiuY, FangF, ParkJH, KimH, YiX. Asynchronous output feedback dissipative control of Markovian jump systems with input time delay and quantized measurements. Nonlinear Anal Hybrid Syst. 2019;31:109‐122. · Zbl 1408.93140
[50] WangJ, YangC, XiaJ, WuZ, ShenH. Observer‐based sliding mode control for networked fuzzy singularly perturbed systems under weighted try‐once‐discard protocol. IEEE Trans Fuzzy Syst. 2021. doi:10.1109/TFUZZ.2021.3070125
[51] HayakawaT, IshiiH, TsumuraK. Adaptive quantized control for nonlinear uncertain systems. Syst Control Lett. 2009;58(9):625‐632. · Zbl 1184.93078
[52] YueD, TianE, HanQ. A delay system method for designing event‐triggered controllers of networked control systems. IEEE Trans Automat Contr. 2012;58(2):475‐481. · Zbl 1369.93183
[53] ForoushHS, Martínez.S. On triggering control of single‐input linear systems under pulse‐width modulated DoS signals. SIAM J Control Optim. 2016;54(6):3084‐3105. · Zbl 1349.93178
[54] ZhangX, HanQ. Novel delay‐derivative‐dependent stability criteria using new bounding techniques. Int J Robust Nonlinear Control. 2013;23(13):1419‐1432. · Zbl 1278.93230
[55] DingS, MeiK, YuX. Adaptive second‐order sliding mode control: a Lyapunov approach. IEEE Trans Automat Contr. 2021. doi:10.1109/TAC.2021.3115447 · Zbl 1537.93383
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.