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Design of observer-based LQG controller via simulated annealing algorithm

This paper is concerned with designing linear quadratic Gaussian (LQG) controller based on coherent quantum observer. In more concrete terms, we aim to design a stabilizing coherent quantum controller, which possesses the property of a coherent quantum observer, for a linear quantum plant in order to minimize a mean-square cost for the closed-loop quantum feedback system. In contrast to previous established work, we give a numerical approach to solving this problem via simulated annealing algorithm. Moreover, an illustrative example of designing locally optimal coherent quantum LQG controller are provided in order to demonstrate the algorithm performance proposed in the paper.