Abstract
In this article, the issue of dissipative asynchronous control for continuous-time T–S fuzzy singular Markov jump linear parameter-varying systems against dual deception attacks under the dynamic event-triggered transmission protocol (DETP) is investigated. Firstly, the DETP is offered to further abate the channel congestion caused by the limited bandwidth. Meanwhile, the mutually independent random variables subject to Bernoulli distribution are utilized to model the dual deception attacks, which can destroy the integrity of the considered system to some degree. Besides, since the controller can not accurately receive the system information, a hidden Markov model is established to depict the asynchronous phenomenon. Specifically, in the light of the parameter-dependent Lyapunov functional, the stochastic admissible criterion of the closed-loop system with certain dissipative performance and uncertain transition rates is obtained. Ulteriorly, based on the parameter-dependent linear matrix inequalities, a cooperative design technique of asynchronous controller and the weighting matrix of the DETP is proposed. Finally, two examples of chaotic systems and electric truck-trailer systems under the DETP are given to illustrate the feasibility of the proposed method.
Similar content being viewed by others
References
Hoffmann, C., Werner, H.: A survey of linear parameter-varying control applications validated by experiments or high-fidelity simulations. IEEE Trans. Control Syst. Tech. 23(2), 416–433 (2014)
Antonio, S.: Stability analysis of LPV systems: Scenario approach. Automatica 104, 233–237 (2019)
Chen, J.L., Zhang, W.D., Cao, Y.Y.: Observer-based consensus control against actuator faults for linear parameter-varying multiagent systems. IEEE Trans. Syst. Man Cybern. 47(7), 1336–1347 (2016)
Xing, M.Q., Wang, Y.Q., Zhuang, G.M., Chen, F.: Dynamic event-based dissipative asynchronous control for singular Markov jump LPV systems with general transition rates. IET Control Theory Appl. (2020). https://doi.org/10.1049/cth2.12067
Wang, Y., Zhuang, G.M., Chen, X., Wang, Z., Chen, F.: Dynamic event-based finite-time mixed \(H_{\infty }\) and passive asynchronous filtering for T-S fuzzy singular Markov jump systems with general transition rates. Nonlinear Anal. Hybrid Syst. 36, 100874 (2020)
Zhang, B., Song, Y.: Asynchronous Constrained Resilient Robust Model Predictive Control for Markovian Jump Systems. IEEE Trans. Ind. Inform. 16(11), 7025–7034 (2020)
Li, F., Xu, S., Shen, H.: Passivity-Based Control for Hidden Markov Jump Systems with Singular Perturbations and Partially Unknown Probabilities. IEEE Trans. Autom. Control 65(8), 3701–3706 (2020)
Gunes, B., Wingerden, J.W., Verhaegen, M.: Predictor-based tensor regression (PBTR) for LPV subspace identification. Automatica 79, 235–243 (2017)
Zhu, Y., Zhong, Z., Zheng, W.X.: HMM-Based \({\cal{H}} _ {\infty } \) Filtering for Discrete-Time Markov Jump LPV Systems Over Unreliable Communication Channels. IEEE Trans. Syst. Man Cybern. 48(12), 2035–2046 (2017)
Wang, X., Xia, J., Wang, J.: Reachable set estimation for Markov jump LPV systems with time delays. Appl. Math. Comput. 376, 125117 (2020)
Kim, S.H.: \({\cal{H}}_2\) control of Markovian jump LPV systems with measurement noises: Application to a DC-motor device with voltage fluctuations. J. Frankl. Inst. 354(4), 1784–1800 (2017)
Cheng, J., Zhang, D., Qi, W., Cao, J., Shi, K.: Finite-time stabilization of T–S fuzzy semi-Markov switching systems: A coupling memory sampled-data control approach. J. Frankl. Inst. 357(16), 11265–11280 (2019)
Dong, S., Chen, C.L.P., Fang, M., Wu, Z.: Dissipativity-based asynchronous fuzzy sliding mode control for T–S fuzzy hidden Markov jump systems. IEEE Trans. Cybern. 50(9), 4020–4030 (2020)
Ren, Y., Li, Q., Ding, D.: Dissipativity-preserving model reduction for Takagi–Sugeno fuzzy systems. IEEE Trans. Fuzzy Syst. 27(4), 659–670 (2019)
Zhang, J., Peng, C.: Event-triggered \(H_{\infty }\) filtering for networked Takagi–Sugeno fuzzy systems with asynchronous constraints. IET Signal Process. 9(5), 403–411 (2015)
Kwon, W., Jin, Y., Lee, S.M.: PI-type event-triggered \(H_{\infty }\) filter for networked T–S fuzzy systems using affine matched membership function approach. Appl. Math. Comput. 385, 125420 (2020)
Joo, Y.H., Nagamani, G.: Event-triggered stabilisation for T–S fuzzy systems with asynchronous premise constraints and its application to wind turbine system. IET Control Theory Appl. 13(10), 1532–1542 (2019)
Kim, S.H.: Dissipative control of Markovian jump fuzzy systems under nonhomogeneity and asynchronism. Nonlinear Dyn. 97(3), 629–646 (2019)
Nguyen, T.B., Kim, S.H.: Dissipative control of interval type-2 nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions. Nonlinear Dyn. 100(2), 1289–1308 (2020)
Wu, H.M., Tafreshi, R.: Air-fuel ratio control of lean-burn SI engines using the LPV-based fuzzy technique. IET Control Theory Appl. 12(10), 1414–1420 (2018)
Mehrabian, A.R., Hashemi, S.V.: Fuzzy linear parameter varying modeling and control of an anti-air missile. Int. J. Control Autom. Syst. 5(3), 324–328 (2007)
Rajkumar, R., Lee, I., Sha, L.: Cyber-physical systems: the next computing revolution. In: Proceesings of the 47th Design Automation Conference, pp. 731–736 DAC (2010)
Xu, Z., He, D., Wang, H.: A novel proxy-oriented public auditing scheme for cloud-based medical cyber physical systems. J. Inform. Security Appl. 51, 102453 (2020)
Ma, Q., Xu, S.: Consensus switching of second-order multiagent systems with time delay. IEEE Trans. Cybern. (2020). https://doi.org/10.1109/TCYB.2020.3011448
Xia, X., Liu, C., Wang, H.: A Design of Cyber-Physical System Architecture for Smart City. Recent Trends in Intelligent Computing, Communication and Devices, pp. 967–973. Springer, Singapore (2020)
Cheng, J., Park, J.H., Zhao, X., Karimi, H.R., Cao, J.: Quantized nonstationary filtering of network-based Markov switching RSNSs: a multiple hierarchical structure strategy. IEEE Trans. Autom. Control 65(11), 4816–4823 (2019)
Yuan, H., Xia, Y., Yang, H.: Resilient state estimation of cyber-physical system with multichannel transmission under DoS attack. IEEE Trans. Syst. Man Cybern. Syst. (2020). https://doi.org/10.1109/TSMC.2020.2964586
Zhang, H., Wang, Z., Yan, H.C., Yang, F., Zhou, X.: Adaptive event-triggered transmission scheme and \(H_{\infty }\) filtering co-design over a filtering network with switching topology. IEEE Trans. Cybern. 49(12), 4296–4307 (2019)
Fu, W., Qin, J., Shi, Y.: Resilient consensus of discrete-time complex cyber-physical networks under deception attacks. IEEE Trans Ind. Inform. 16(7), 4868–4877 (2019)
Tian, E., Peng, C.: Memory-based event-triggering \({\cal{H}}_{\infty } \) load frequency control for power systems under deception attacks. IEEE Trans. Cybern. 50(11), 4610–4618 (2020)
Yuan, J., Wang, Y., Ji, Z.: A differentially private square root unscented Kalman filter for protecting process parameters in ICPSs. ISA Trans. 104, 44–52 (2020)
Wang, H.T., Wang, Y.Q., Zhuang, G.M.: Asynchronous \(H_{\infty }\)controller design for neutral singular Markov jump systems under dynamic event-triggered schemes. J. Frankl. Inst. (2020). https://doi.org/10.1016/j.jfranklin.2020.10.034
Yan, H.C., Hu, C.Y., Zhang, H., Karimi, H.R., Jiang, X.W.: \(H_{\infty }\) output tracking control for networked systems with adaptively adjusted event-triggered scheme. IEEE Trans. Syst. Man Cybernet. 49(10), 2050–2058 (2019)
Cheng, J., Park, J.H., Cao, J., Qi, W.: A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization. Nonlinear Dyn. 100, 509–521 (2020)
Qi, Y., Zeng, P., Bao, W.: Event-triggered and self-triggered \({\cal{H}}_{\infty } \) control of uncertain switched linear systems. IEEE Trans Syst. Man Cybern. Syst. 50(4), 1442–1454 (2018)
Qi, W.H., Zong, G.D., Zheng, W.X.: Adaptive event-triggered SMC for stochastic switching systems with semi-Markov process and application to boost converter circuit model. IEEE Trans. Circuits Syst. I: Regular Papers (2020). https://doi.org/10.1109/TCSI.2020.3036847
Peng, C., Han, Q., Yue, D.: To transmit or not to transmit: a discrete event-triggered communication scheme for networked Takagi–Sugeno fuzzy systems. IEEE Trans. Fuzzy Syst. 21(1), 164–170 (2013)
Liu, Y., Guo, B.Z., Park, J.H., et al.: Event-based reliable dissipative filtering for T–S fuzzy systems with asynchronous constraints. IEEE Trans. Fuzzy Syst. 26(4), 2089–2098 (2018)
Chen, Z.R., Zhang, B.Y., et al.: Event-based control for networked T–S fuzzy systems via auxiliary random series approach. IEEE Trans. Cyber. 50(5), 2166–2175 (2018)
Cheng, J., Ahn, C.K., Karim, H.R., et al.: An event-based asynchronous approach to Markov jump systems with hidden mode detections and missing Measurements. IEEE Trans. Syst. Man Cybern. Syst. 49(9), 1749–1758 (2019)
Qiu, J., Sun, K., Wang, T.: Observer-based fuzzy adaptive event-triggered control for pure-feedback nonlinear systems with prescribed performance. IEEE Trans. Fuzzy Syst. 27(11), 2152–2162 (2019)
Tian, E., Wang, Z., Zou, L.: Probabilistic-constrained filtering for a class of nonlinear systems with improved static event-triggered communication. Int. J. Robust Nonlinear Control 29(5), 1484–1498 (2019)
Ge, X., Han, Q.L., Wang, Z.: A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks. IEEE Trans Cybern. 49(1), 171–183 (2017)
Lehmann, D., Lunze, J.: Extension and experimental evaluation of an event-based state-feedback approach. Control Eng. Practice 19(2), 101–112 (2011)
Yang, R.H., Zhang, H., Feng, G., Yan, H.C., Wang, Z.P.: Robust cooperative output regulation of multi-agent systems via adaptive event-triggered control. Automatica 102, 129–136 (2019)
Zhang, Q., Yan, H., Zhang, H.: \({\cal{H}}_{\infty } \) control of singular system based on stochastic cyber-attacks and dynamic event-triggered mechanism. IEEE Trans. Syst. Man Cybern. Syst. (2020). https://doi.org/10.1016/j.nahs.2020.100943
Wang, Y.Q., Chen, F., Zhuang, G.M.: Dynamic event-based reliable dissipative asynchronous control for stochastic Markov jump systems with general transition probabilities. Nonlinear Dyn. 101(1), 465–485 (2020)
Wang, H.T., Wang, Y.Q., Zhuang, G.M., Lu, J.W.: Asynchronous passive dynamic event-triggered controller design for singular Markov jump systems with general transition rates under stochastic cyber-attacks. IET Control Theory Appl. 14(16), 2291–2302 (2020)
Tagaki, T., Sugeno, M.: Fuzzy identification of systems and its application to modelling and control. IEEE Trans. Syst. Man Cybern. Syst. 15(1), 116–132 (1985)
Yue, D., Tian, E., Han, Q.L.: A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans. Autom. Control 58(2), 475–481 (2013)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Xing, M., Wang, Y., Zhuang, G. et al. Dynamic event-based dissipative asynchronous control for T–S fuzzy singular Markov jump LPV systems against deception attacks. Nonlinear Dyn 103, 1709–1731 (2021). https://doi.org/10.1007/s11071-021-06200-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-021-06200-0