Abstract
This paper considers the design of H∞ controllers for linear time-invariant descriptor systems. Firstly, an H∞ norm condition for a stable descriptor system is presented in terms of strict linear matrix inequalities (LMIs), that is, LMIs with no equality constraint. Then, the condition is extended to the H∞ control problem. The existence of an H∞ controller which achieves a specified disturbance attenuation level, is reduced to the feasibility of a set of strict LMIs. The class of desired H∞ controllers in a descriptor form is parametrized by the solution of the derived LMIs.
