Suboptimal guaranteed cost control for uncertain linear time-delay systems —LMI approach

This paper concerns the problem of the guaranteed cost control (GCC) for linear system with delay and uncertainties. A guaranteed cost control law (GCCL) with less conservative is obtained by appending a state-delay term on linear memoryless state-feedback control law. furthermore, a optimal guaranteed control control law is derived by optimizing the cost function. The feasibility of nonlinear problem is convented into a nonlinear programming problem with linear matrix inequality (LMI) constrains by adopting cone complementary linearization arithmetic, and the design method of suboptimal GCCL for linear system with delay and uncertainties based on LMI is derived. Finally, a numerical example is offered to show the availability of the results.