On the design of finite dimensional stabilizing compensators for infinite dimensional feedback-systems via semi-infinite optimization

摘要

In a recent paper, E. Polak and T.L. Wuu presented a set of easily solvable, differentiable inequalities which are related to the classical Nyquist stability criterion and which constitute a necessary and sufficient condition of stability for finite-dimensional systems. It is shown that a similar set of easily solvable inequalities can be used to design finite-dimensional stabilizing compensators for a class of infinite-dimensional feedback systems. Computational aspects of the stability test are discussed.