Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

This paper presents several results on performance analysis for a class of uncertain linear quantum systems subject to either quadratic or non-quadratic perturbations in the system Hamiltonian. Also, coherent guaranteed cost controllers are designed for the uncertain quantum systems to achieve improved control performance. The coherent controller is realized by adding a control Hamiltonian to the quantum system and its performance is demonstrated by an example.

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