Observer-based controller for robust pole clustering in a vertical strip and disturbance rejection

This paper presents an observer-based robust feedback controller to achieve robust pole clustering within a vertical strip and disturbance rejection with an ℋ_∞-norm constraint for uncertain linear systems. The systems of interest include both matched and mismatched uncertain linear systems with structured or unstructured uncertainties existing in both the system and input matrices. The controller is obtained by solving two Riccati equations (one for the controller and the other for the observer) and checking three conditions (two for robust pole clustering). A set of tuning parameters is incorporated to enhance flexibility in finding the controller