Robust stability—degree assignment and its applications to the control of flexible structures

Abstract
A new method of robust controller synthesis is introduced which is an extension of robust stabilization to robust stability‐degree assignment. This method guarantees a lower bound of stability degree for all uncertainties within a prescribed magnitude band.The method is applied to the control of four types of flexible structures, namely, colocated beam, non‐colocated beam, beam with moving base and large scale satellite model. Excellent performances have been obtained experimentally with respect to the response speed and the robustness.