Resilient $H_{\infty}$ triggering control for uncertain discrete-time system against DoS attacks

This paper is concerned with resilient $H_{\infty}$ triggering control for discrete-time networked control system with parameter uncertainty and aperiodic DoS attacks. First, a switched time delay system model in discrete domain is established to describe the dynamic of discrete triggering control system subjected to DoS attacks. To analyze the $H_{\infty}$ performance of the switched delay system, we combine discrete piecewise Lyapunov-Krasovskii functional method and average dwell time (ADT) based switch system method. Then, the weighted $H_{\infty}$ performance would be preserved if the derived sufficient conditions were satisfied. The main conclusion is a criterion that the allowable margin of the duration and frequency of DoS attacks can be estimated explicitly. Under the criterion, the static output feedback control law can be solved by using LMIs techniques. Finally, we apply our method to design the resilient load frequency control (LFC) scheme of a three-area power system.

[1]  Qing-Long Han,et al.  Secure Distributed Finite-Time Filtering for Positive Systems Over Sensor Networks Under Deception Attacks , 2020, IEEE Transactions on Cybernetics.

[2]  Pietro Tesi,et al.  Input-to-State Stabilizing Control Under Denial-of-Service , 2015, IEEE Transactions on Automatic Control.

[3]  Hongtao Sun,et al.  Resilient control of networked control systems with stochastic denial of service attacks , 2017, Neurocomputing.

[4]  Tomohisa Hayakawa,et al.  Networked Control Under Random and Malicious Packet Losses , 2016, IEEE Transactions on Automatic Control.

[5]  S. Shankar Sastry,et al.  Safe and Secure Networked Control Systems under Denial-of-Service Attacks , 2009, HSCC.

[6]  Ligang Wu,et al.  Co-Design of Distributed Model-Based Control and Event-Triggering Scheme for Load Frequency Regulation in Smart Grids , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Dimitris P. Labridis,et al.  Cyber attack impact on critical Smart Grid infrastructures , 2014, ISGT 2014.

[8]  Jin Zhang,et al.  Stability analysis of networked control systems with denial-of-service attacks , 2016, 2016 UKACC 11th International Conference on Control (CONTROL).

[9]  Minrui Fei,et al.  Resilient Event-Triggering $H_{\infty }$ Load Frequency Control for Multi-Area Power Systems With Energy-Limited DoS Attacks , 2017, IEEE Transactions on Power Systems.

[10]  Yang Xiang,et al.  A survey on security control and attack detection for industrial cyber-physical systems , 2018, Neurocomputing.

[11]  Lihua Xie,et al.  Robust control of a class of uncertain nonlinear systems , 1992 .

[12]  Karl Henrik Johansson,et al.  A secure control framework for resource-limited adversaries , 2012, Autom..

[13]  Donghua Zhou,et al.  Two-Channel False Data Injection Attacks Against Output Tracking Control of Networked Systems , 2016, IEEE Transactions on Industrial Electronics.

[14]  Songlin Hu,et al.  Event-based robust stabilization of uncertain networked control systems under quantization and denial-of-service attacks , 2018, Inf. Sci..

[15]  Xiangpeng Xie,et al.  Resilient Event-Triggered Controller Synthesis of Networked Control Systems Under Periodic DoS Jamming Attacks , 2019, IEEE Transactions on Cybernetics.

[16]  Dan Ye,et al.  A cooperative detection and compensation mechanism against Denial-of-Service attack for cyber-physical systems , 2018, Inf. Sci..

[17]  Hong Lin,et al.  Distributed event-triggered control for networked control systems with stochastic cyber-attacks , 2019, J. Frankl. Inst..

[18]  Zidong Wang,et al.  Event-based security control for discrete-time stochastic systems , 2016 .

[19]  Lingkun Fu,et al.  DoS Attack Energy Management Against Remote State Estimation , 2018, IEEE Transactions on Control of Network Systems.

[20]  Xiaohua Ge,et al.  Distributed Attack Detection and Secure Estimation of Networked Cyber-Physical Systems Against False Data Injection Attacks and Jamming Attacks , 2018, IEEE Transactions on Signal and Information Processing over Networks.

[21]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.