2014•Unpublished venueOpen access

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

Chengdi Xiang, Ian R. Petersen, Daoyi Dong

Abstract

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.

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Key concepts: Quantum, Control theory (sociology), Hamiltonian (control theory), Quantum system, Quadratic equation, Hamiltonian system, Computer science, Controller (irrigation)