The design process often requires delays in the wireless network and loss of packets. The solar lighting system provides a clean environment so that it can operate for a long time. Solar Wireless Network Control System (SWNCS) offers a multi-service infrastructure solution for developed and underdeveloped countries. The system provides access to Wi-Fi / WIMAX, video surveillance and a wireless sensor for weather monitoring, powered by solar energy. This system is compatible with all applications. This study focuses on delayed SWNCS and packet hopping for stochastic wireless communications. Delays and loss of wireless networks vary stochastically. This stochastic approach to wasted time and packets for wireless networks such as Wi-Fi and WiMAX are typical for commercial use. Delays and packet losses are constructed using Markovan circuits as models of a stochastic wireless network. Based on this model, SWNCS has developed new approaches to avoid packets and loss of time. The linear matrix inequality (LMI) methodology is used to analyze the robust model predictive controller (RMPC) approach for SWNCS. SWNCS delays are known by the Markov chain as a normal variable. SWNCs are represented by a discrete Markov jump system with unlimited standard delay. The full state feedback controller can be designed using the LMI kit based on the SWNCS model. The modelling and simulation show the performance of the proposed project. The proposed control algorithm provides a numerical example to verify the reliability of the results. The standards are used to determine the reliability and functionality of the main structures and are taken from LMI. In addition, the effectiveness of a solid stability analysis is illustrated by a numerical example.