Mixed sensitivity problem of delay-free systems and time-delay systems

This paper presents a control design methodology based on pole assignment type techniques for delay-free and time-delay systems. The standard H_∞ solution to the mixed sensitivity problem for time-delay systems requires complicated calculations because Riccati equation is of the operator-type. Here we begin H₂ approach for delay-free systems and translate it to pole assignment approach. Pole assignment approach is expanded to time-delay systems as finite spectrum assignment. The controller design for time delay systems can be done without operator-type Riccati equations by only calculation of finite spectrum assignment and Bode diagrams