Filter design for a class of singular discrete-time Markovian jump systems with randomly occurring sensor saturation and deception attacks

This work considers the security-guaranteed filter design problem for a class of singular discrete-time Markovian jump delayed systems with partially known transition rates subject to randomly occurring sensor saturation and deception attacks. By employing Lyapunov function, a filter is designed to guarantee that the resulted closed-loop constrained system is secure. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of proposed method.