Designing an observer-based controller for a network control system

We propose a numerical procedure to design a linear output-feedback controller for a remote linear plant in which the loop is closed through a network. The controller stabilizes the plant in the presence of delay, sampling, and dropout effects in the measurement and actuation channels. We consider two types of control units: anticipative and non-anticipative. In both cases the closed-loop system with delay, sampling and packet dropout effects can be modeled as a delay differential equation. Our method of designing the controller is based on the Lyapunov-Krasovskii theorem and a linear cone complementarity algorithm. Numerical examples show that our method is significantly better than the existing ones.