Coherent robust control of linear quantum systems with uncertainties in the Hamiltonian and coupling operators

• Autores: Chengdi Xiang, I.R. Petersen, Daoyi Dong
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 81, 2017, págs. 8-21
• Idioma: inglés
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• Resumen

  • Abstract This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations both in the system Hamiltonian and in the coupling operators. A sufficient condition is provided such that these uncertain quantum systems can be guaranteed to be robustly strict bounded real with a given disturbance attenuation parameter. A scaled H ∞ problem is shown to have a connection with the stability of the given uncertain quantum system and can be used as an auxiliary system to design a robust H ∞ quantum controller. A pair of Riccati equations is used to give explicit formulas for the parameters of a desired controller. Illustrative examples show that for the given uncertain quantum system, the method presented in this paper has improved performance over the existing quantum H ∞ control results without considering uncertainties.