Design of networked polynomial control systems with random delays: sum of squares approach

Abstract

This paper studies the problem of networked polynomial state feedback control using the sum of square (SOS) approach considering network-induced varying delay. The stabilisation conditions are achieved based on the Lyapunov-Krasovskii stability theory. The proposed control approach is based on the SOS decomposition numerical method which applies a control input to stabilise the networked control system states. Finally, numerical simulation is done to demonstrate the effectiveness of the proposed method.