Control of Time-delayed Lpv Systems Using Delayed Feedback

In this paper, the delayed (memory) feedback synthesis problem for linear parameter varying (LPV) systems with parameter-varying time delays is introduced and addressed. It is assumed that the state-space data and the timedelay depend continuously on the parameters which are measurable in real-time and vary in a compact set with bounded variation rates. Synthesis conditions for stabilization and L2 norm performance using delayed state feedback and delayed output feedback are formulated in terms of Linear Matrix Inequalities (LMIs) that can be solved efficiently. It is shown that time-delayed feedback control provides advantages in terms of reduced conservatism, improved performance and ease of controller implementation. Numerical examples are used to demonstrate the improved performance of the proposed delayed feedback configuration compared with that of the memoryless feedback schemes. Copyright c °2005 IFAC.