Robust H∞ non-fragile controller design for uncertain descriptor systems with time-varying discrete and distributed delays

This paper is concerned with the design problem of non-fragile H ∞ controller for uncertain descriptor systems with time-varying discrete and distributed delays and controller gain variations. The designed controller is shown to be robust not only to parameter uncertainties, but also to errors in the controller coefficients. The obtained criterion to derive an efficient non-fragile H∞ control design is expressed as a set of nonconvex matrix inequalities, which can be solved by combining both linear matrix inequalities technique and cone complementarity method. A numerical example is given to demonstrate effectiveness of the proposed methods.