抄録
This paper studies the l1 controller design with frequency domain constraints using the duality theorem. For this class of problems it was shown in the literature that the standard finite dimensional approximation of the dual problem in the space of finite support sequences may not converge to the optimal value. In this paper, a condition assuring no duality gap is studied, and a way to approximate the dual problem with arbitrary tolerance by finitely many variables is proposed. A key observation is the property of so-called rank interpolation constraints.
