A new synthesis method for uncertain systems the Self-Stable Region approach

Abstract

In this paper, an inherent property of uncertain systems is revealed and the concept of the Self-Stable Region ( SSR ) is put forward. A novel constructive synthesis method for nonlinear uncertain systems is then proposed. The feedback law is determined by the recursively constructed functions according to the suggested inequalities. The convergence of the trajectories is guaranteed by the convergence to the designed SSR. So this approach is robust and dynamic characteristics can be designed. Finally, various properties of the SSR approach are discussed.