Stabilizing Control for Cyber-Physical Systems against Energy-Constrained Deception Attacks

Stabilizing control of cyber-physical systems (CPSs) is an important yet challenging problem since system modelling may face the coexistence of multiple uncertainties including unknown disturbances, unknown bounded delays, stochastic malicious attack and stochastic mode switching in complex environment, which cause system performance to deteriorate or even be unstable. However, the above uncertainties are rarely considered simultaneously in existing study. To this end, a novel system model is proposed to reflect not only the nonlinear characteristics, external disturbances and time-varying delays, but also the randomly occurring deception attacks, which is energy-constrained and lead to the system mode switching. We aim at designing a controller such that the system achieve the prescribed $H_{\infty}$ disturbance rejection level. By constructing an appropriate Lyapunov-Krasovskii functional (LKF) and using the stochastic analysis techniques, the addressed controller design problem is transformed to an convex optimization problem, which can be solved by a linear matrix inequality (LMI) approach. An example is given to show the effectiveness of the designed controller.