Optimal Control and Stabilization for Networked Control Systems Subject to Intermittent Observations and One-step Delayed Measurement

This paper concerns the control problem for networked control systems (NCSs) with local and remote controllers (LRC) subject to one-step delay and intermittent observations. The main contributions lie in two aspects. Firstly, for the finite-horizon case, applying the maximum principle and the completing square, a necessary and sufficient condition is derived for the solvability of the optimal control problem. Meanwhile, we obtain the explicit controller which is a linear function of the optimal state estimator, with the feedback gain based on the coupled Riccati equations. Secondly, for the infinite-horizon case, a necessary and sufficient condition of the stabilization in the mean square sense for the system without additive noise is derived and a sufficient condition is developed for the boundedness in the mean square sense of the system with the additive noise. Numerical examples are given to show that the proposed algorithms are valid.