Suboptimal robust mixed H2/H∞ controller design for uncertain descriptor systems with distributed delays

This paper is concerned with the design problem of the optimal robust mixed H2/H∞ controllers for descriptor systems with time-varying uncertainties and distributed delays. In our method, no decomposition of the coefficient matrix is needed. The designed controller can guarantee regularity, nonimpulsiveness, and internal stability of the closed-loop system and simultaneously minimizes an upper bound of the H2 performance measure satisfying an H∞ norm bound constraint. The control design problem is transformed into the solvability of a set of strict LMIs, which can be effectively solved by using interior-point algorithms.