Robust Optimization Control for Cyber-Physical Systems Subject to Jamming Attack: A Nested Game Approach

Dear Editor, With the advances in computing and communication technologies, the cyber-physical system (CPS), has been used in lots of industrial fields, such as the urban water cycle, internet of things, and human-cyber systems [1], [2], which has to face up to malicious cyber-attacks towards cyber communication of control commands. Specifically, jamming attack is regarded as one of the most common attacks of decreasing network performance. Game theory is widely regarded as a method of accurately describing the interaction between jamming attacker and legitimate user [3]. In the cyber layer, the signal game model has been utilized to describe the transmission between the attacker and defender [4]. However, most previous game theoretical researches are not feasible to meet the demands of industrial CPSs mainly due to the shared communication network nature. Specifically, it leads to incomplete information for players of game owing to various network-induced phenomena and employed communication protocols. In the physical layer, the secure control [5] and estimation [6] under attack detection have been studied for CPSs. However, these methods not only rely heavily on signals injection detection, but also have no access to smart attackers who launch covert attacks so that data receivers cannot observe the attack behaviour [7]. Accordingly, the motivation arising here is to tackle the nested game problem for CPSs subject to jamming attack.