Optimal Control of DC DC Buck Converter via Linear Systems With Inaccessible Markovian Jumping Modes
The note presents an algorithm for the average cost control problem of continuous time Markov jump linear systems. The controller assumes a linear state feedback form and the corresponding control gain does not depend on the Markov chain. In this scenario, the control problem is that of minimizing the long run average cost. As an attempt to solve the problem, we derive a global convergent algorithm that generates a gain satisfying necessary optimality conditions. Our algorithm has practical implications, as illustrated by the experiments that were carried out to control an electronic dc dc buck converter. The buck converter supplied a load that suffered abrupt changes driven by a homogeneous Markov chain. Besides, the source of the buck converter also suffered abrupt Markov driven changes. The experimental results support the usefulness of our algorithm.
IEEE Transactions on Control Systems Technology