Delay-dependent output feedback control of time-delay LPV systems

Presented in this chapter, is a method for the design of output feedback controllers for linear parameter-varying (LPV) time-delay systems. Towards this goal, a delay-dependent bounded real lemma (BRL) condition is first developed by taking advantage of parameter-dependent Lyapunov-Krasovskii functionals. An existence condition for an output feedback controller with delay in its dynamics is then developed to guarantee a prescribed performance level for the closed loop system by relaxing the obtained BRL through the introduction of additional slack variables. The proposed synthesis condition is formulated in terms of linear matrix inequalities (LMIs) that can be solved using existing efficient interior-point algorithms. A numerical example based on a lumped parameter model of a milling process is finally employed to validate the presented design method of this chapter.