A Popov approach to performance analysis and coherent guaranteed cost control for uncertain quantum systems

This paper considers a Popov approach to analyze the performance of an uncertain quantum system, which is subjected to quadratic perturbations in the system Hamiltonian. To get improved performance for this quantum system, a coherent guaranteed cost controller is designed by adding a control Hamiltonian. In this case, a performance comparison between the original uncertain quantum system and the uncertain quantum system with added coherent controller is carried out for an illustrative example.