Observer-based $H_{\infty}$ Controller Design for Linear Time-delay Systems

선형 시간지연 시스템의 관측기 기반 $H_{\infty}$ 제어기 설계

This paper deals with the design of observer-based $H_{\infty}$ controller for linear time-delay systems. By adapting the model transformation and Lyapunov theorem, we presents a sufficient condition which meets the prescribed $H_{\infty}$ norm upper bound from the exogenous disturbances to the measured outputs. The conditions are expressed in terms of coupled two matrix inequalities, and the $H_{\infty}$ controller and the observer are obtained by checking the feasibility of two matrix inequalities. Finally, we shows the usefulness of our result by an example.