Anti-Attack Control of Positive Cyber-Physical Systems Using Linear Programming

This paper investigates the state-feedback and observer-based feedback control for positive cyber-physical systems. A novel positive anti-attack controller is first proposed for the systems by introducing a switched control strategy. By developing observer technique for cyber-physical systems, a positive controller equipped with dynamic output-feedback approach is refined to estimate unavailable output. Under the designed controllers, the positive and stable with $L_{1}$-gain performance are reached. Then, a matrix decomposition method is employed to design observer and controller gains. All presented conditions are described via linear programming. Finally, an illustrative example is given to verify the effectiveness of the proposed design.