Robust State-Feedback Controller Design for Uncertainty Singular Systems
In this paper the problem of robust stability and stabilization of a class of uncertain singular Systems with uncertainties in both the derivative and state matrices is studied. By using a parameter dependent Lyapunov function, we derive the linear matrix inequalities (LMIs) based sufficient conditions for the stability and stabilization of the system. By solving these LMIs, the robust controller is derived. Finally, the numerical example is given to show the effectiveness of the proposed theorems.
L. M. Liang et al., "Robust State-Feedback Controller Design for Uncertainty Singular Systems", Advanced Materials Research, Vols. 383-390, pp. 32-37, 2012