Abstract
In this paper, we discuss H∞ control problems for descriptor systems via Linear Matrix Inequality (LMI) approach. First we give a stability condition that means exponential stable and impulse free for descriptor systems. And Bounded Real Lemma that contains stability and norm condition for descriptor systems can be expressed as matrix inequalities. Using these conditions, we give LMI conditions for the solvability of H∞ control problem for descriptor systems. The results are natural extensions for a state space expression case. We also show the construction of proper controller and a relation of the controller order and solutions of the LMI.
