This paper presents a practical framework for the design and real-time implementation of a Power Management System (PMS) for microgrids based on Supervisory Control Theory (SCT) for discrete-event systems. A detailed step-by-step methodology is provided, which covers the entire process from defining discrete events, modeling microgrid components, synthesizing supervisory controllers, and realizing them in MATLAB (R2024b) Stateflow. This methodology is applied to a case study, where a decentralized supervisor controller is designed for a microgrid containing a Battery Energy Storage System (BESS), a generator set (Genset), a wind and a solar generation system, critical loads, and noncritical loads. Unlike previous works based on SCT, the proposed PMS addresses the following functionalities: $\left(i\right)$ grid-connected and islanded operation; $\left(ii\right)$ peak shaving; $\left(iii\right)$ voltage support; $\left(iv\right)$ load shedding. Finally, a CHIL testing is employed to validate the synthesized SCT-based PMS.

This paper proposes a novel Power Management System (PMS) for AC microgrids using Supervisory Control Theory (SCT) for discrete event systems to improve reliability and efficiency. The AC microgrid considered in this work operates either in grid-connected or islanded mode and is comprised with a BESS, a Genset, a wind and solar systems. The developed PMS provides voltage support in islanded mode, peak shaving in grid-connected mode, and effective State Of Charge (SOC) management for Battery Energy Storage Systems (BESS). Key contributions include: (1) a supervisory controller for seamless mode transitions; (2) advanced control features for improved scalability and adaptability with integration of different renewable energy sources such as photovoltaic systems and wind turbines; and (3) a step-by-step guide to implement the developed PMS in \textit{MATLAB Stateflow}. Experimental results show that PMS ensures stability, maintains SOC in a safe operation range, and manages voltage and frequency at the Point of Interconnection (POI), advancing reliable microgrid operation. These findings establish the SCT as a practical alternative to microgrid management methods.