LAUSR

Multi-agent cyber-physical systems (CPSs) are ubiquitous in various modern critical infrastructures, especially in industrial automation control involved in the petrochemical, metallurgy, textile, and pharmaceutical, which are vulnerable for their hierarchically and horizontally interconnected architecture. In this paper, we investigate a resilient control design problem for industrial multi-agent CPSs of centralised information structure, with Markovian and physically coupled dynamics from a game-theoretic perspective. First, we investigate a worst-case design problem and solve for worst-case disturbance strategy and optimal disturbance attenuation level parameter through an equivalent two-person zero-sum differential game in both finite- and infinite-horizon. Second, we study a corresponding N-person worst-case nonzero-sum differential game and derive state-feedback Nash equilibrium solution of robustness property as resilient control strategy for each agent. The experimental case study is given to demonstrate that using resilient control strategy, each agent could maintain its physical plant operationally normal under cyber attack, malicious disturbance input and physical state interdependency.