Controllability of Delayed Discret Fornasini-Marchesini Model <i>via</i> Quantization and Random Packet Dropouts

This research is devoted to Fornasnisi-Marchesini model (FM). More precisely, the investigation of control problem for second discrete-time FM. The takes into account random packet loss and quantization errors in network environment. So our modelling method has potential achieve a better stabilization effects. Random dropouts, time delays are taken consideration feedback simultaneously. Measured signals quantized before being communicated. A logarithmic quantizer utilized signal measurements handled by sector bound method. dropouts modeled as Bernoulli process. law which depends on formulated. Notably, we lighten assumptions using Schur complement. Besides, both state controller an observer-based output designed ensure corresponding closed-loop systems asymptotically stability. Sufficient conditions mean square asymptotic stability terms LMIs have been obtained. Finally, two numerical example show feasibility theoretical results.