Sampled-data LQG control for a class of linear quantum systems

Hendra I. Nurdin, M. R. James, Ian R. Petersen

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Hendra I. Nurdin, M. R. James, Ian R. Petersen

Aline I. Maalouf, Ian R. Petersen

In this paper, an LQG control problem is solved for a class of linear quantum systems for the case of sampled-data measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem.

Aline I. Maalouf, Ian R. Petersen

This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.

Hendra I. Nurdin, Naoki Yamamoto