Resilient Control Design for Hybrid Systems against Switching and Data Injection Attacks

A hybrid systems approach is a powerful tool for modeling and analysis of cyber-physical systems (CPSs), but it has been rarely used for CPS security related problems. In this paper, we model the CPS subject to cyber-attacks as a class of hybrid systems called hidden mode switched linear systems so that it can account for both the switching attack that tampers the discrete state dynamics (logical behavior) and the bounded data injection attack which compromises the continuous state dynamics (physical behavior) of the CPS. A resilient hybrid control scheme is proposed to mitigate the impact of these cyber-attacks. It is shown that the proposed resilient hybrid control scheme is able to estimate the switching attack signal and guarantee the attack mitigation under the assumptions that the discrete states of the hybrid system are distinguishable and the switching attack signal satisfies the average dwell-time condition.