Solution to the HJB equation for LQR-type problems on compact connected Lie groups

• Autores: Rohit Gupta, Uros V. Kalabi´c, Anthony M. Bloch, Ilya Kolmanovsky
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 95, 2018, págs. 525-528
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we provide a solution to the HJB equation associated with LQR-type problems for fully-actuated left-invariant control systems on compact connected Lie groups. We obtain the corresponding algebraic/differential Riccati equation and in turn generalize some of the results in Berkane and Tayebi (2015) to a broader class of Lie groups. Closed-loop stability results are also derived.