Hybrid-driven-based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks. (English) Zbl 07843526
Summary: The problem of hybrid-driven fuzzy filtering for nonlinear semi-linear parabolic partial differential equation systems with dual cyber attacks is investigated. First, a Takagi-Sugeno (T-S) fuzzy model is employed to reconstruct the original nonlinear systems. Second, a hybrid-driven mechanism is applied for filter design to balance the systems’ performance and the limited network resource consumption under dual cyber attacks composed of deception and denial of service attacks. Based on the Lyapunov direct method, sufficient conditions to guarantee the stability of the augmented system are obtained, and the parameters of the designed filter are earned with explicit form. Finally, a simulation example with robust analysis and comparative analysis is provided to illustrate the effectiveness of the proposed method.
{© 2022 John Wiley & Sons Ltd.}
{© 2022 John Wiley & Sons Ltd.}
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93C65 | Discrete event control/observation systems |
| 93C42 | Fuzzy control/observation systems |
| 93D23 | Exponential stability |
Keywords:
dual cyber attacks; hybrid-driven mechanism; partial differential equation systems; secure filtering; T-S fuzzy modelReferences:
| [1] | GuZ, YaoL. Fault diagnosis and fault‐tolerant control of uncertain network control systems. Int J Adapt Control Signal Process. 2021;35(9):1941‐1956. · Zbl 1543.93055 |
| [2] | LiZ, ParkJH. Dissipative fuzzy tracking control for nonlinear networked systems with quantization. IEEE Trans Syst Man Cybern Syst. 2020;50(12):5130‐5141. |
| [3] | LiY, FanY, LiK, LiuW, TongS. Adaptive optimized backstepping control‐based RL algorithm for stochastic nonlinear systems with state constraints and its application. IEEE Trans Cybern. 2022;52(10):10542‐10555. |
| [4] | ShenM, NguangSK, AhnCK, WangQ. Robust [( {H}_2 \]\) control of linear systems with mismatched quantization. IEEE Trans Autom Control. 2019;64(4):1702‐1709. · Zbl 1482.93244 |
| [5] | KarimiHR. Guest Editorial: Recent advances in sliding mode control under network environment. ISA T. 2022;124:247‐248. |
| [6] | XieX, YueD, PengC. Observer design of discrete‐time fuzzy systems based on an alterable weights method. IEEE Trans Cybern. 2020;50(4):1430‐1439. |
| [7] | NorooziN, GeiselhartR, MousaviSH, PostoyanR, WirthFR. Integral input‐to‐state stability of networked control systems. IEEE Trans Autom Control. 2020;65(3):1203‐1210. · Zbl 1533.93651 |
| [8] | PanY, WuY, LamHK. Security‐based fuzzy control for nonlinear networked control systems with DoS attacks via a resilient event‐triggered scheme. IEEE Trans Fuzzy Syst. 2022;30(10):4359‐4368. |
| [9] | XieX, WanL, XiaJ. Enhanced gain‐scheduling fault estimation of discrete‐time Takagi‐Sugeno nonlinear systems: A novel free matrix approach. Int J Robust Nonlinear Control. 2022;32(13):7631‐7645. · Zbl 1528.93128 |
| [10] | LiY, ZhangJ, LiuW, TongS. Observer‐based adaptive optimized control for stochastic nonlinear systems with input and state constraints. IEEE Trans Neural Netw Learn Syst. 2021 doi:10.1109/TNNLS.2021.3087796 |
| [11] | ZhaoX, LinC, ChenB, WangQ, MaZ. Adaptive event‐triggered fuzzy [( {H}_{\infty } \]\) filter design for nonlinear networked systems. IEEE Trans Fuzzy Syst. 2020;28(12):3302‐3314. |
| [12] | WuT, LiF, YangC, GuiW. Event‐based fault detection filtering for complex networked jump systems. IEEE/ASME Trans Mech. 2018;23(2):497‐505. |
| [13] | KangS, LiuPX, WangH. Finite‐time adaptive fuzzy command filtering control for stochastic nonlinear systems with input quantization. Int J Adapt Control Signal Process. 2022;36(1):155‐175. · Zbl 1543.93217 |
| [14] | WangZ, WuH, LiH. Estimator‐based [( {H}_{\infty } \]\) sampled‐data fuzzy control for nonlinear parabolic PDE systems. IEEE Trans Syst Man Cybern Syst. 2020;50(7):2491‐2500. |
| [15] | WangJ, TsaiSH, LiH, LamHK. Spatially piecewise fuzzy control design for sampled‐data exponential stabilization of semilinear parabolic PDE systems. IEEE Trans Fuzzy Syst. 2018;26(5):2967‐2980. |
| [16] | TalaeiB, JagannathanS, SinglerJ. Boundary control of linear uncertain 1‐D parabolic PDE using approximate dynamic programming. IEEE Trans Neural Netw Learn Syst. 2018;29(4):1213‐1225. |
| [17] | SongX, SunX, ManJ, SongS, WuQ. Synchronization of fractional‐order spatiotemporal complex‐valued neural networks in finite‐time interval and its application. J Frankl Inst. 2021;358:8207‐8225. · Zbl 1472.93165 |
| [18] | JiH, ZhangH, CuiB. Event‐triggered [( {H}_{\infty } \]\) filtering control for a class of distributed parameter systems with Markovian switching topology. J Frankl Inst. 2018;355:5928‐5956. · Zbl 1451.93238 |
| [19] | JiH, CuiB, ChenG, ShenH, ChenM. [( {H}_{\infty } \]\) filtering design for a class of distributed parameter systems with randomly occurring sensor faults and Markovian channel switching. Parallel Architect Algorithm Program. 2017;729:117‐129. |
| [20] | ChangX, QiaoM, ZhaoX. Fuzzy energy‐to‐peak filtering for continuous‐time nonlinear singular system. IEEE Trans Fuzzy Syst. 2021;30(7):2325‐2336. |
| [21] | XieX, WeiC, GuZ, ShiK. Relaxed resilient fuzzy stabilization of discrete‐time takagi‐sugeno systems via a higher order time‐variant balanced matrix method. IEEE Trans Fuzzy Syst. 2022;30(11):5044‐5050. |
| [22] | ChangX, YangG. Nonfragile [( {H}_{\infty } \]\) filter design for T‐S fuzzy systems in standard form. IEEE Trans Ind Electron. 2014;61(7):3448‐3458. |
| [23] | SongX, WangM, ZhangB, SongS. Event‐triggered reliable [( {H}_{\infty } \]\) fuzzy filtering for nonlinear parabolic PDE systems with Markovian jumping sensor faults. Inf Sci. 2020;510:50‐69. · Zbl 1461.93317 |
| [24] | WangZ, WuH, HuangT. Sampled‐data fuzzy control for nonlinear delayed distributed parameter systems. IEEE Trans Fuzzy Syst. 2021;29(10):3054‐3066. |
| [25] | ShenM, GuY, ParkJH, YiY, CheW. Composite control of linear systems with event‐triggered inputs and outputs. IEEE Trans Circuits Syst Express Briefs. 2022;69(3):1154‐1158. |
| [26] | JiH, CuiB. Event‐generator‐based [( {H}_{\infty } \]\) control of fuzzy distributed parameter systems. Fuzzy Sets Syst. 2022;462:28‐49. · Zbl 1522.93105 |
| [27] | GaoS, LiuJ. Event‐triggered vibration control for a class of flexible mechanical systems with bending deformation and torsion deformation based on PDE model. Mech Syst Signal Process. 2022;164:108255. |
| [28] | LiZ, ChangX, ParkJH. Quantized static output feedback fuzzy tracking control for discrete‐time nonlinear networked systems with asynchronous event‐triggered constraints. IEEE Trans Syst Man Cybern Syst. 2019;51(6):3820‐3831. |
| [29] | GeX, HanQ, DingL, WangY, ZhangX. Dynamic event‐triggered distributed coordination control and its applications: A survey of trends and techniques. IEEE Trans Syst Man Cybern Syst. 2020;50(9):3112‐3125. |
| [30] | LiX, YeD. Memory‐based dynamic event‐triggered control for networked interval type‐2 fuzzy systems subject to DoS attacks. Int J Adapt Control Signal Process. 2022;36(1):104‐121. · Zbl 1543.93220 |
| [31] | WuZ, XiongJ, XieM. Dynamic event‐triggered [( {L}_{\infty } \]\) control for networked control systems under deception attacks: A switching method. Inf Sci. 2021;561:168‐180. · Zbl 1526.93164 |
| [32] | HuS, YueD, ChengZ, TianE, XieX, ChenX. Co‐design of dynamic event‐triggered communication scheme and resilient observer‐based control under aperiodic DoS attacks. IEEE Trans Cybern. 2021;51(9):4591‐4601. |
| [33] | LiuJ, ZhaL, CaoJ, FeiS. Hybrid‐driven‐based stabilisation for networked control systems. IET Control Theory Appl. 2016;10(17):2279‐2285. |
| [34] | LiuJ, GuY, XieX, YueD, ParkJH. Hybrid‐driven‐based [( {H}_{\infty } \]\) control for networked cascade control systems with actuator saturations and stochastic cyber attacks. IEEE Trans Syst Man Cybern Syst. 2019;49(12):2452‐2463. |
| [35] | CaoJ, DaD, LiuJ, TianE, HuS, XieX. Hybrid‐triggered‐based security controller design for networked control system under multiple cyber attacks. Inf Sci. 2021;548:69‐84. · Zbl 1478.93239 |
| [36] | LuA, YangG. Malicious adversaries against secure state estimation: Sparse sensor attack design. Automatica. 2022;136:110037. · Zbl 1480.93172 |
| [37] | MurugesanS, LiuY. Finite‐time resilient control for networked control systems with multiple cyber‐attacks: Memory/adaptive event‐triggered scheme. Int J Adapt Control Signal Process. 2022;36(4):901‐925. · Zbl 07841323 |
| [38] | KordestaniM, SaifM. Observer‐based attack detection and mitigation for cyber‐physical systems: A review. IEEE Syst Man Cybern Mag. 2021;7(2):35‐60. |
| [39] | LuA, YangG. Secure state estimation for multiagent systems with faulty and malicious agents. IEEE Trans on Autom Control. 2019;65(8):3471‐3485. · Zbl 1533.93773 |
| [40] | LiD, GebraeelN, PaynabarK. Detection and differentiation of replay attack and equipment faults in SCADA systems. IEEE Trans Autom Sci Eng. 2021;18(4):1626‐1639. |
| [41] | ZhangR, WangH, ParkJH, HeP, ZengD, XieX. Fuzzy secure control for nonlinear [( N \]\)‐D parabolic PDE‐ODE coupled systems under stochastic deception attacks. IEEE Trans Fuzzy Syst. 2022;30(8):3347‐3359. |
| [42] | SongX, ZhangQ, SongS, AhnCK. Sampled‐data‐based event‐triggered fuzzy control for PDE systems under cyber‐attacks. IEEE Trans Fuzzy Syst. 2022;30(7):2693‐2705. |
| [43] | SakthivelR, KwonOM, ParkMJ, ChoiSG, SakthivelR. Robust asynchronous filtering for discrete‐time T‐S fuzzy complex dynamical networks against deception attacks. IEEE Trans Fuzzy Syst. 2021;30(8):3257‐3269. |
| [44] | ZhaoN, ShiP, XingW, LimCP. Resilient adaptive event‐triggered fuzzy tracking control and filtering for nonlinear networked systems under denial of service attacks. IEEE Trans Fuzzy Syst. 2022;30(8):3191‐3201. |
| [45] | HuZ, LiuS, LuoW, WuL. Resilient distributed fuzzy load frequency regulation for power systems under cross‐layer random denial‐of‐service attacks. IEEE Trans Cybern. 2022;52(4):2396‐2406. |
| [46] | GuZ, SunX, LamHK, YueD, XieX. Event‐based secure control of T‐S fuzzy based 5‐DOF active semi‐vehicle suspension systems subject to DoS attacks. IEEE Trans Fuzzy Syst. 2021;30(6):2032‐2043. |
| [47] | SongX, ZhangR, AhnCK, SongS. Adaptive event‐triggered control of networked fuzzy PDE systems under hybrid cyber‐attacks. IEEE Trans Fuzzy Syst. 2022;30(10):4211‐4223. |
| [48] | LiuJ, WangY, CaoJ, YueD, XieX. Secure adaptive‐event‐triggered filter design with input constraint and hybrid cyber attack. IEEE Trans Cybern. 2021;51(8):4000‐4010. |
| [49] | DengY, LuH, ZhouW. Security event‐triggered control for Markovian jump neural networks against actuator saturation and hybrid cyber attacks. J Frankl Inst. 2021;358:7096‐7118. · Zbl 1471.93174 |
| [50] | GirardA. Dynamic triggering mechanisms for event‐triggered control. IEEE Trans Autom Control. 2015;60(7):1992‐1997. · Zbl 1360.93423 |
| [51] | WangZ, WuH, LiH. Fuzzy control under spatially local averaged measurements for nonlinear distributed parameter systems with time‐varying delay. IEEE Trans Cybern. 2021;51(3):1359‐1369. |
| [52] | TangP, MaY. Exponential stabilization and non‐fragile sampled‐date dissipative control for uncertain time‐varying delay T‐S fuzzy systems with state quantization. Inf Sci. 2021;545:513‐536. · Zbl 1478.93555 |
| [53] | ChenX, WangY, HuS. Event‐triggered quantized [( {H}_{\infty } \]\) control for networked control systems in the presence of denial‐of‐service jamming attacks. Nonlinear Anal Hybrid Syst. 2019;33:265‐281. · Zbl 1429.93087 |
| [54] | PersisCD, TesiP. Input‐to‐state stabilizing control under denial‐of‐service. IEEE Trans Autom Control. 2015;60(11):2930‐2944. · Zbl 1360.93629 |
| [55] | WangX, FeiZ, WangT, YangL. Dynamic event‐triggered actuator fault estimation and accommodation for dynamical systems. Inf Sci. 2020;525:119‐133. · Zbl 1461.93321 |
| [56] | LiuJ, GuY, ZhaL, LiuY, CaoJ. Event‐triggered [( {H}_{\infty } \]\) load frequency control for multiarea power systems under hybrid cyber attacks. IEEE Trans Syst Man Cybern Syst. 2019;49(8):1665‐1678. |
| [57] | ChristofidesPD, ChowJ. Nonlinear and robust control of PDE systems: Methods and applications to transport‐reaction processes. Appl Mech Rev.2002;55(2):B29‐B30. |
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.
