Short Time Control of Uncertain Singular Systems with Norm-bounded Disturbance

In this paper, the concept of finite time bound (FTB) for linear singular system with uncertain parameters is presented. Then, finite-time control problem is considered for uncertain singular systems with norm bounded exogenous disturbances. Sufficient conditions are given for robust finite-time stabilization via state feedback. Such conditions can be reduced to feasibility problems involving linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example is given to show the validity of the methodology.