Robust output feedback control for a class of linear time-varying uncertain time-delay systems

This paper is focused on the problem of robust stabilizing a class of uncertain linear time-delay systems via observer-based dynamic output feedback control law when the full state can not be measured. The systems under consideration are linear systems with time-varying state and control delays, they also contain time-varying unknown-but-bounded uncertain parameters. A sufficient condition for the robust output feedback stabilizability of the system is derived and the control law can be constructed by solving two algebraic Riccati equations. A numerical example is presented to illustrate the obtained results.