A game-theoretic method for cross-layer stochastic resilient control design in CPS

ABSTRACT

In this paper, the cross-layer security problem of cyber-physical system (CPS) is investigated from the game-theoretic perspective. Physical dynamics of plant is captured by stochastic differential game with cyber-physical influence being considered. The sufficient and necessary condition for the existence of state-feedback equilibrium strategies is given. The attack-defence cyber interactions are formulated by a Stackelberg game intertwined with stochastic differential game in physical layer. The condition such that the Stackelberg equilibrium being unique and the corresponding analytical solutions are both provided. An algorithm is proposed for obtaining hierarchical security strategy by solving coupled games, which ensures the operational normalcy and cyber security of CPS subject to uncertain disturbance and unexpected cyberattacks. Simulation results are given to show the effectiveness and performance of the proposed algorithm.

KEYWORDS:

• Cyber-physical system (CPS)
• cross-layer security
• stochastic differential game
• Stackelberg game
• hierarchical security strategy

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Science Fund for Creative Research Groups of NSFC [grant number 61621002].

Notes on contributors

Jiajun Shen

Jiajun Shen received his B.S. degree in Automation from Zhejiang Sci-Tech University, and M.S. degree in Control Science and Engineering from Zhejiang University, in 2012 and 2015 respectively. He worked in State Key Laboratory of Industrial Control Technology as a research assistant in 2015 and 2016. He is currently working toward the Ph.D. degree in control science and engineering. His current research interests include resilient control, multi-agent systems and cyber-physical systems.

Dongqin Feng

Dongqin Feng received his B.S. and M.S. degrees in Department of Detection technology and instrument from Zhejiang University, and Ph.D. degree in Department of Industrial Automation from Zhejiang University, in 1991, 1994, and 1997 respectively. He is with the Department of Control Science and Engineering, Zhejiang University as a professor. His current research interests include industrial control systems, industrial Ethernet, vulnerability analysis.