Dynamic output-feedback gain-scheduled control for LPV systems with time-varying delays

This paper is concerned with the problem of dynamic output-feedback gain-scheduled control for linear parameter-varying (LPV) systems with time-varying delays. The research efforts are focused on the design of an output-feedback controller depending on the time-varying parameters as well as the time-varying delays, such that the resulting closed-loop system is asymptotically stable and meets a certain performance requirement. Delay-dependent conditions for the solvability of the addressed problem are obtained based on a parameter-dependent Lyapunov-Krasovskii functional. The desired controller gains can be constructed by using feasible solutions to the presented conditions. A numerical example is provided finally to illustrate the applicability of the proposed design method.