Passive control synthesis for uncertain systems with multiple-state delays

Abstract

In this paper, we investigate the robust passivity synthesis problem for a class of uncertain systems with multiple state delays. Both the delay-independent and the delay-dependent cases are treated. In each case, a sufficient condition for which the uncertain multi-state delay system is robustly stable and strictly passive (SP) for all admissible uncertainties is provided in terms of a linear matrix inequality. Then, we propose a dynamic feedback design methodology based on either state measurements or output measurements. For both types of controllers, it is proven that the closed-loop uncertain time-delay system is asymptotically stable and SP for all admissible uncertainties. A detailed simulation example is given to illustrate the theoretical developments.