Robustness Analysis of Linear Discrete-time Dynamical Control Systems

Abstract

This research mainly focused on the robust analysis of linear discrete-time dynamical control systems with uncertainties in the time domain by using Lyapunov theory. We use a Lyapunov function which consists of two terms: one is zero-order and fixed; the other is first-order and is proportional to variation of the uncertain parameters. This research tries to find a suitable Lyapunov function and provide sharper matrix inequalities in order to enlarge the robust bound of the synamical control system.