Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions

It is known in stability analysis that Lyapunov functions of the Lur'e-Post nikov form may have an advantage over quadratic Lyapunov functions. In this paper, a Lyapunov function of the Lur'e-Postnikov form is used for synthes is of a stabilizing controller for an uncertain system with structured norm -bounded uncertainty. An example is:given which shows that a controller sta bilizing the system with a Lur'e-Postnikov Lyapunov function may guarantee better performance, as compared to a controller synthesised using a standar d quadratic Lyapunov function. (C) 1999 Elsevier Science Ltd. All rights re served.