Resilient control of networked control systems with stochastic denial of service attacks

This paper focuses on resilient control of networked control systems (NCSs) under the denial of service (DoS) attacks characterized by a Markov process. Firstly, based on the game between attack strategies and defense strategies, the packet dropouts induced by DoS attacks are modeled as a Markov process. Secondly, an NCS under DoS attacks is modeled as a Markovian jump linear system. Then, by use of the Lyapunov theory and the derived NCS model, four theorems are given for the system stability analysis and controller design. Finally, a numerical example is used to illustrative the effectiveness of proposed method.

[1]  James Lam,et al.  Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design , 2015, Autom..

[2]  Qing-Long Han,et al.  On Designing a Novel Self-Triggered Sampling Scheme for Networked Control Systems With Data Losses and Communication Delays , 2016, IEEE Transactions on Industrial Electronics.

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

[4]  Dong Yue,et al.  Model-Based Event-Triggered Predictive Control for Networked Systems with Data Dropout , 2016, SIAM J. Control. Optim..

[5]  L. Qiu,et al.  Networked Stabilization of Multi-Input Systems with Channel Resource Allocation ⋆ , 2008 .

[6]  Dong Yue,et al.  Relaxed fuzzy control synthesis of nonlinear networked systems under unreliable communication links , 2016, Appl. Soft Comput..

[7]  Ling Shi,et al.  Optimal DoS Attack Scheduling in Wireless Networked Control System , 2016, IEEE Transactions on Control Systems Technology.

[8]  Karl Henrik Johansson,et al.  Cyberphysical Security in Networked Control Systems: An Introduction to the Issue , 2015 .

[9]  James Lam,et al.  Stabilization of linear systems over networks with bounded packet loss , 2007, Autom..

[10]  Tamer Basar,et al.  Optimal control in the presence of an intelligent jammer with limited actions , 2010, 49th IEEE Conference on Decision and Control (CDC).

[11]  Panos J. Antsaklis,et al.  Risk-Sensitive Control Under Markov Modulated Denial-of-Service (DoS) Attack Strategies , 2015, IEEE Transactions on Automatic Control.

[12]  E. Boukas,et al.  Stability and Stabilization of Markovian Jump Linear Systems with Partly Unknown Transition Probabilities , 2008 .

[13]  P. Kiessler.  Stochastic Switching Systems: Analysis and Design , 2008 .

[14]  Hamed Shisheh Foroush,et al.  On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks , 2012, 1209.4101.

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

[16]  Zhang Xinguo,et al.  Multi-rate control and pole assignment for a single closed-loop in networked multi-rate control system , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[17]  Ling Shi,et al.  Optimal Denial-of-Service Attack Scheduling With Energy Constraint , 2015, IEEE Transactions on Automatic Control.

[18]  Shichao Liu,et al.  Modeling and distributed gain scheduling strategy for load frequency control in smart grids with communication topology changes. , 2014, ISA transactions.

[19]  X. Ye,et al.  Brief paper Modelling and stabilisation of networked control system with packet loss and time-varying delays , 2010 .

[20]  Dong Yue,et al.  Security risk assessment of cyber physical power system based on rough set and gene expression programming , 2015, IEEE/CAA Journal of Automatica Sinica.

[21]  Peter Xiaoping Liu,et al.  A stochastic game approach to the security issue of networked control systems under jamming attacks , 2014, J. Frankl. Inst..

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

[23]  Seref Sagiroglu,et al.  A survey on the critical issues in smart grid technologies , 2016 .

[24]  Feng Qian,et al.  Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control , 2017, Inf. Sci..

[25]  Bruno Sinopoli,et al.  Challenges for Securing Cyber Physical Systems , 2009 .

[26]  Chen Peng,et al.  Delay-Distribution-Dependent Load Frequency Control of Power Systems With Probabilistic Interval Delays , 2016, IEEE Transactions on Power Systems.

[27]  Chen Peng,et al.  Event-triggered output-feedback ℋ ∞ control for networked control systems with time-varying sampling , 2015 .

[28]  Abdulmotaleb El Saddik,et al.  Modeling and stochastic control of networked control system with packet losses , 2011, 2011 IEEE International Instrumentation and Measurement Technology Conference.