Abstract This paper investigates the output feedback secure control problem for a class of cyber-physical-system (CPSs) under sparse sensor attacks. The considered CPSs are modeled as complex dynamical networks(CDN) with linear couplings. First, by defining a novel quadratic cost index, an optimal control policy consisting of a feedback control and a compensated feedforward control is obtained in the attack-free case. A necessary and sufficient condition for the optimal control policy minimizing the quadratic cost index is established. Then, a hybrid system that consisting all the potential attack modes is constructed and the corresponding optimal control policy for each attack mode is also obtained. Furthermore, an online switching method is proposed to pick up a proper control policy from the set of controllers. It is proved that the proposed online switching method guarantees the asymptotic stability of the system. Finally, a simulation example is given to verify the effectiveness of the proposed method.

中文翻译：

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针对稀疏传感器攻击的网络物理系统的输出反馈安全控制

摘要 本文研究了稀疏传感器攻击下一类网络物理系统（CPS）的输出反馈安全控制问题。所考虑的 CPS 被建模为具有线性耦合的复杂动态网络 (CDN)。首先，通过定义新的二次成本指数，在无攻击情况下获得由反馈控制和补偿前馈控制组成的最优控制策略。建立了使二次成本指数最小的最优控制策略的充要条件。然后，构建了一个包含所有潜在攻击模式的混合系统，并获得了每种攻击模式对应的最优控制策略。此外，提出了一种在线切换方法，以从控制器集合中选取合适的控制策略。证明所提出的在线切换方法保证了系统的渐近稳定性。最后,通过仿真实例验证了所提方法的有效性。