Stochastic Inverse optimal control of unknown linear networked control system in the presence of random delays and packet losses

Abstract

In this paper, the inverse optimal control approach is applied to stabilization in probability of unknown linear networked control system (NCS) in presence of random delays and packet losses. The proposed control scheme is based on Kalman filter parameter estimation to solve the infinite horizon regulator problem for NCS with stochastic system matrices, and avoids to solve the associated stochastic Riccati equation (SRE); additionally a cost functional is minimized. The stabilizing optimal controller is based on a discrete-time stochastic control Lyapunov function.