Synthesis of continuous-time linear systems with minimum L/sub 2/-sensitivity

Abstract

In this paper, a set of the optimal state-space descriptions with minimum L/sub 2/-sensitivity is synthesized for continuous-time linear systems. First, an L/sub 2/-sensitivity measure is defined for continuous-time linear systems by using a pure L/sub 2/-norm. An expression is then developed for evaluating the L/sub 2/-sensitivity in continuous-time linear systems. Next, an iterative method is applied for obtaining the optimal coordinate transformation that minimizes the L/sub 2/-sensitivity measure. Finally, a numerical example is given to illustrate the utility of the proposed technique.