Security in H2-sense for polytopic uncertain systems with attacks based on model predictive control

In this paper, the problem of network security in H2-sense for a discrete-time linear uncertain system with a polytopic description and subject to randomly occurring deception attacks is discussed. A novel attack model is proposed to reflect the randomly occurring behaviors of the deception attacks by using a set of Bernoulli distributed white sequences with known conditional probabilities. In view of the difficulties in obtaining state values in practical system, we design a static output-feedback controller. However, some equation constraints are brought about and become a hinder in obtaining the upper bound of the objective function. To deal with the problem, a singular decomposition technique is applied. Then, the static output-feedback model predictive control (MPC) algorithm is presented by solving an optimization problem involving some linear matrix inequalities (LMIs), by which security of the network (or the stability of the closed-loop system) could be guaranteed. Finally, a simulation example is utilized to illustrate validity and effectiveness of the proposed technique.