Reduced Conservatism in the Ultimate Boundedness Control of Mismatched Uncertain Linear Systems

This paper addresses the aspect of the control of uncertain linear systems based on the theory of ultimate boundedness. A similarity transformation on the original system is proposed which yields a better decomposition of the matched and mismatched parts and/or a less conservative bound on the mismatched perturbation. The proposed method can be applied to both zero as well as nonzero set point control. A simple example is presented to illustrate the proposed methodology.