Abstract: | This paper considers the problem of robust performance of a linear time-invariant system in the ℋ︁∞ norm. The concepts of complex and real performance radii are introduced to describe the smallest size of dynamic or parametric perturbations to a feedback system that either destabilize the system or destroy a performance bound in a certain closed-loop transfer matrix of the system. An algorithm to compute the complex performance radius is given. For the real performance radius, a lower bound, which often turns out to be exact, is obtained. © 1997 by John Wiley & Sons, Ltd. |