Robust stability of solar-power Wireless Network Control System with stochastic time delays based on H2 norm

In this paper, the robust stability analysis of Solar Wireless Networked Control Systems (SWNCSs) with stochastic time delays and packet dropout is investigated. The Robust Model Predictive Controller (RMPC) technique for the SWNCS is discussed using the linear matrix inequality (LMI) technique. Based on the SWNCS model, the RMPC (a full state feedback controller) can be constructed by using the Lyapunov functional method. Both sensor-to-controller and controller-to-actuator time delays of the SWNCS are considered as stochastic variables controlled by a Markov chain. A discrete-time Markovian Jump Linear System (MJLS) with norm bounded time delay is presented to model the SWNCSs. Sufficient conditions for stochastic stability based on H_2-norm and stabilization of the fundamental systems are derived via LMIs formulation. Finally, an illustrative numerical example is given to demonstrate the effectiveness of the proposed techniques.