Output-based Finite Time Control of LTI systems with matched perturbations using HOSM

Finite Time Stability of LTI systems with matched perturbations using dynamic output feedback is achieved under the assumptions of strong observability, controllability and known bounds for the perturbations. It is shown that only global controllers are well suited for this task. Two cases are studied: when the relative degree is well-defined and when it is not. Simulation examples are presented in order to illustrate the proposed approach.