Tracking Control Problem for Networked Stochastic System with Random Parameter Uncertainties Subject to Parallelly Occurring Deception Attacks

Xianyu Yang; Mingzhi Die; Zhenglong Jiao; Yuqiang Luo

doi:10.53941/ijndi.2026.100003

Abstract

This paper is concerned with the tracking control problem for a class of discrete-time networked stochastic systems subject to parallelly occurring deception attacks (PODAs), where the random parameter uncertainties (RPUs) are simultaneously considered in the plant. To character the phenomenon of RPUs, a sequence taking values of 0 and 1 is employed, whose statistical characteristic is known in advance. Unfortunately, however, the deception attacks do not always occur in single form during the process of data transmission. The PODAs is thus proposed, whose description is successfully realized through two random variables behaving according to Bernoulli distribution. With aid of the aforementioned measurements, a desired output-feedback tracking controller is obtained. The aim of this paper is to develop an output-feedback controller for which the tracking error is exponentially ultimately bounded in the mean-square sense (EUBMS) as a result. The existence constraints on the eligible tracking controller are finally achieved in terms of linear matrix inequality. The reference output signal is tracked well by using the proposed tracking controller in a developed example with different inputs and disturbance, which thus fulfills the performance test.

References

1.
Tang, W.; Zhao, E.; Sun, L.; et al. An Active Swing Suppression Control Scheme of Overhead Cranes Based on Input Shaping Model Predictive Control. Syst. Sci. Control Eng. 2023, 11, 437–467.
2.
Yi, X.; Wang, Z.; Liu, S.; et al. Acceleration Model Considering Multi-Stress Coupling Effect and Reliability Modeling Method Based on Nonlinear Wiener Process. Qual. Reliab. Eng. Int. 2024, 40, 3055–3078.
3.
Yi, X.; Yu, H.; Xu, T. Solving Multi-Objective Weapon-Target Assignment Considering Reliability by Improved MOEA/DAM2M. Neurocomputing 2024, 563, 126906.
4.
Shieh, N.C.; Tung, P.C.; Lin, C.L. Robust Output Tracking Control of a Linear Brushless DC Motor with Time-Varying Disturbances. IEE Proc. Electr. Power Appl. 2002, 149, 39–45.
5.
Li, T.T.; Xiong, J.J.; Zheng, E.H. Improved Sliding Mode Control for Robust Trajectory Tracking of a Quadrotor UAV. In Proceedings of the 2020 7th International Conference on Information Science and Control Engineering (ICISCE), Changsha, China, 18–20 December 2020; pp. 1908–1912.
6.
Yin, H.; Wang, Q.; Sun, C. Position and Attitude Tracking Control for a Quadrotor UAV via Double-Loop Controller. In Proceedings of the 2017 29th Chinese Control and Decision Conference (CCDC), Chongqing, China, 28–30 May 2017; pp. 5358–5363.
7.
Bai, J.; Yang, Z.; Li, Z.; et al. Trajectory Tracking Controller Design for Wheeled Mobile Robot with Velocity and Torque Constraints. Int. J. Syst. Sci. 2024, 55, 2825–2837.
8.
Jing, D.; Zong, H.; Hao, R.; et al. Adaptive Robust Attitude Tracking Control of Multi-Stage Spacecraft with Friction Disturbance. In Proceedings of the 2022 China Automation Congress (CAC), Xiamen, China, 25–27 November 2022; pp. 2049–2054.
9.
Chen, B.S.; Liu, H.T.; Wu, R.S. Robust H∞ Fault-Tolerant Observer-Based PID Path Tracking Control of Autonomous Ground Vehicle with Control Saturation. IEEE Open J. Veh. Technol. 2024, 5, 298–311
10.
Liu, M.; Zhang, S.; Chen, H.; et al. H∞ Output Tracking Control of Discrete-Time Nonlinear Systems via Standard Neural Network Models. IEEE Trans. Neural Netw. Learn. Syst. 2014, 25, 1928–1935.
11.
Wang, W.; Ma, L.; Rui, Q.; et al. A Survey on Privacy-Preserving Control and Filtering of Networked Control Systems. Int. J. Syst. Sci. 2024, 55, 2269–2288.
12.
Montestruque, L.A.; Antsaklis, P. Stability of Model-Based Networked Control Systems with Time-Varying Transmission Times. IEEE Trans. Autom. Control 2004, 49, 1562–1572.
13.
Xie, L.; Zhang, J.M.; Wang, S.Q. Stability Analysis of Networked Control System. In Proceedings of the International Conference on Machine Learning and Cybernetics, Beijing, China, 4–5 November 2002; Volume 2, pp. 757–759.
14.
Sun, H.; Sun, J.; Chen, J. Quantized Control of Networked Control Systems under Stochastic Clock Offsets. IEEE Trans. Syst. Man Cybern. Syst. 2021, 51, 3004–3013.
15.
Huang, W.; Wu, M.; Chen, L.; et al. Multiobjective Drilling Trajectory Optimization Considering Parameter Uncertainties. IEEE Trans. Syst. Man Cybern. Syst. 2022, 52, 1224–1233.
16.
Ji, C.; Zhang, Z.; Xie, X.J.; et al. Adaptive Stabilization for ODE-PDE-ODE Cascade Systems with Parameter Uncertainty. IEEE Trans. Syst. Man Cybern. Syst. 2023, 53, 7378–7390.
17.
Liu, X.; Wang, X.; Xie, M.; et al. Robust Degradation State Identification in the Presence of Parameter Uncertainty and Outliers. IEEE Trans. Ind. Informat. 2024, 20, 2644–2652.
18.
Peng, C.; Sun, H.; Yang, M.; et al. A Survey on Security Communication and Control for Smart Grids under Malicious Cyber Attacks. IEEE Trans. Syst. Man Cybern. Syst. 2019, 49, 1554–1569.
19.
Zhang, D.; Liu, L.; Feng, G. Consensus of Heterogeneous Linear Multiagent Systems Subject to Aperiodic Sampled-Data and DoS Attack. IEEE Trans. Cybern. 2019, 49, 1501–1511.
20.
Li, X.; Wei, G.; Wang, L. Distributed Set-Membership Filtering for Discrete-Time Systems Subject to Denial-of-Service Attacks and Fading Measurements: A Zonotopic Approach. Inf. Sci. 2021, 547, 49–67.
21.
Chen, B.; Ho, D.W.; Hu, G.; et al. Secure Fusion Estimation for Bandwidth Constrained Cyber-Physical Systems under Replay Attacks. IEEE Trans. Cybern. 2018, 48, 1862–1876.
22.
Nagendranath, M.V.S.S.; Ramesh, B.; Aneesha, V. Detection of Packet Dropping and Replay Attacks in MANET. In Proceedings of the 2017 International Conference on Current Trends in Computer, Electrical, Electronics and Communication (CTCEEC), Mysore, India, 8–9 September 2017; pp. 933–938.
23.
Caballero-Aguila, R.; Hu, J.; Linares-Pe´rez, J. Filtering and Smoothing Estimation Algorithms from Uncertain Nonlinear Observations with Time-Correlated Additive Noise and Random Deception Attacks. Int. J. Syst. Sci. 2024, 55, 2023–2035.
24.
Liu, J.; Gu, Y.; Zha, L.; et al. Event-Triggered H∞ Load Frequency Control for Multiarea Power Systems under Hybrid Cyber Attacks. IEEE Trans. Syst. Man Cybern. Syst. 2019, 49, 1665–1678.
25.
Liu, J.; Wei, L.; Xie, X.; et al. Distributed Event-Triggered State Estimators Design for Sensor Networked Systems with Deception Attacks. IET Control Theory Appl. 2019, 13, 2783–2791.
26.
Gu, Z.; Zhou, X.; Zhang, T.; et al. Event-Triggered Filter Design for Nonlinear Cyber-Physical Systems Subject to Deception Attacks. ISA Trans. 2020, 104, 130–137.
27.
Wan, X.; Yang, C.; Zhang, C.K.; et al. Hybrid Adjusting Variables-Dependent Event-Based Finite-Time State Estimation for Two-Time-Scale Markov Jump Complex Networks. IEEE Trans. Neural Netw. Learn. Syst. 2024, 35, 1487–1500.
28.
Wang, L.; Wang, Z.; Zhao, D.; et al. Recursive Filtering for Discrete-Time Stochastic Complex Networks under Bit-Rate Constraints: A Locally Minimum Variance Approach. IEEE Trans. Autom. Control 2024, 69, 3441–3448.
29.
Yin, T.; Zha, L.; Liu, J.; et al. Adaptive Event-Triggered Controller Design for Cyber-Physical Systems with Complex Cyber-Attacks. In Proceedings of the 2019 Chinese Automation Congress (CAC), Hangzhou, China, 22–24 November 2019; pp. 4202–4207.
30.
Halevi, T.; Li, H.; Ma, D.; et al. Context-Aware Defenses to RFID Unauthorized Reading and Relay Attacks. IEEE Trans. Emerg. Top. Comput. 2013, 1, 307–318.
31.
Ganjkhani, M.; Hosseini, M.M.; Parvania, M. Optimal Defensive Strategy for Power Distribution Systems Against Relay Setting Attacks. IEEE Trans. Power Del. 2023, 38, 1499–1509.
32.
Li, L.; Yang, H.; Xia, Y.; et al. Attack Detection and Distributed Filtering for State-Saturated Systems under Deception Attack. IEEE Trans. Control Netw. Syst. 2021, 8, 1918–1929.
33.
Meira Goes, R.; Lafortune, S.; Marchand, H. Synthesis of Supervisors Robust Against Sensor Deception Attacks. IEEE Trans. Autom. Control 2021, 66, 4990–4997.
34.
Yi, X.; Xu, T. Distributed Event-Triggered Estimation for Dynamic Average Consensus: A Perturbation-Injected Privacy-Preservation Scheme. Inf. Fusion 2024, 108, 102396.
35.
Wang, Z.; Lam, J.; Liu, X. Filtering for a Class of Nonlinear Discrete-Time Stochastic Systems with State Delays. J. Comput. Appl. Math. 2007, 201, 153–163.
36.
Li, J.; Niu, Y.; Ho, D.W.C. Dynamic Coding-Based Control Scheme under Lossy Digital Network: An Optimized Time-Varying Packet Length Approach. IEEE Trans. Cybern. 2024, 54, 2955–2965.
37.
Zhao, D.; Wang, Z.; Liu, S.; et al. PID Tracking Control under Multiple Description Encoding Mechanisms. IEEE Trans. Syst. Man Cybern. Syst. 2023, 53, 7025–7037.
38.
Shen, B.; Wang, Z.; Ding, D.; et al. H∞ State Estimation for Complex Networks with Uncertain Inner Coupling and Incomplete Measurements. IEEE Trans. Neural Netw. Learn. Syst. 2013, 24, 2027–2037.
39.
Liu, Q.; Fang, J.; Gao, M.; et al. Dynamic Event-Triggered H∞ Fault Detection for Linear Discrete Time Systems with Multiplicative Noises. In Proceedings of the 2022 41st Chinese Control Conference (CCC), Hefei, China, 25–27 July 2022; pp. 4016–4021.
40.
Yi, X.; Xu, C.; Fang, X.; et al. A New Reliability Analysis Method for Software-Intensive Systems with Degradation Accumulation Effect Based on Goal Oriented Methodology. Qual. Reliab. Eng. Int. 2023, 40, 236–260.
41.
Feng, S.; Li, X.; Zhang, S.; et al. A Review: State Estimation Based on Hybrid Models of Kalman Filter and Neural Network. Syst. Sci. Control Eng. 2023, 11, 2173682.
42.
Jin, F.; Ma, L.; Zhao, C.; et al. State Estimation in Networked Control Systems with a Real-Time Transport Protocol. Syst. Sci. Control Eng. 2024, 12, 2347885.
43.
Zhang, R.; Liu, H.; Liu, Y.; et al. Dynamic Event-Triggered State Estimation for Discrete-Time Delayed Switched Neural Networks with Constrained Bit Rate. Syst. Sci. Control Eng. 2024, 12, 2334304.

Scilight Press

Author Information

Abstract

Keywords

References

About Scilight

Journals

Publishing Policies

Contact Us