Safe Control Methods

One important problem, especially in power systems, is the control of systems under cyberattacks. In this chapter, a secure state controller and observer-based controller for discrete-time CPS subject to both cyber- (denial-of-service (DoS) and deception) and physical attacks will be presented. The occurrences of the cyber- and physical attacks will be considered as Bernoulli distributed white sequences with variable conditional probabilities. A sufficient condition is first derived under which the observer-based controller is guaranteed to have the desired security level using the stochastic analysis techniques. Then, the controller will be designed by solving a linear matrix inequality (LMI) using Yalmip and Matlab. Finally, the feasibility of the proposed system is demonstrated by solving the known example of a two-area power system.