Abstract
The linear optimized output regulation problem (LOORP) for Markov jump linear systems (MJLSs) is investigated in this article. First, by improving previous methods for solving the regulator equations, a model-based scheme is proposed to address the LOORP of MJLSs. Subsequently, a reinforcement learning (RL)-based iteration scheme is developed, which enables the solution of the LOORP even when the system dynamics are partially unknown and the initial control gains are unstable. Finally, an LCL-coupled inverter-based distributed generation system is provided to demonstrate the performance of the proposed RL-based scheme.