近期，实验室博士生吴承伟作为第一作者，导师吴立刚教授作为通讯作者的论文“Zero-Sum Game Based Optimal Secure Control under Actuator Attacks”已发表在控制领域顶级期刊IEEE Transactions on Automatic Control上。

该论文针对虚假数据注入攻击情形下的信息物理系统，提出了基于零和博弈的安全控制策略设计准则，揭示了系统性能与攻击概率之间的关系，解决了攻击情形下信息物理系统的安全控制策略设计以及性能分析问题。其创新性体现在：该成果在零和博弈框架下设计了安全控制策略，是对传统最优控制理论框架的继承和拓展，继承了传统最优控制理论中保证性能指标最优的核心思想，也拓展了最优控制理论的范围使得设计的安全控制策略具有自主行为。

Abstract

This paper investigates the zero-sum game based secure control problem for cyber-physical systems (CPS) under the actuator false data injection attacks. The physical process is described as a linear time-invariant discrete-time model. Both the process noise and the measurement noise are addressed in the design process. An optimal Kalman filter is given to estimate the system states. The adversary and the defender are modeled as two players. Under the zero-sum game framework, an optimal infinite-horizon quadratic cost function is defined. Employing the dynamic programming approach, the optimal defending policy and the attack policy are derived. The convergence of the cost function is proved. Moreover, the critical attack probability is derived, beyond which the cost cannot be bounded. Finally, simulation results are provided to validate the proposed secure scheme.