Observer-based H∞ control for second-order neutral systems with actuator saturation and the application to mechanical system

Abstract

The observer-based H∞ control problem for second-order neutral systems with actuator saturation is considered. First, a sufficient delay-dependent condition is proposed using Wirtinger-based integral inequality, under which such type neutral system with time-delay and actuator saturation is stable and satisfies H∞ performance. Then, based on the derived condition, the design method of observer-based controller is developed using linear matrix inequalities (LMIs) optimization problem. Finally, a numerical example is provided to illustrate the application of the second-order mechanical systems and the effectiveness of the theoretical results.