Robust Passive Control of Nonlinear Time-Dealy Uncertain System

A class of robust passive control for systems with nonlinear and time-varying delay is investigated. It is assumed that the nonlinear vibration satisfies special linear bound. By designing Lyapunov function and applying linear matrix inequality method and integral inequality transformation technique, the conditions of robust stability and strict passivity for nonlinear time-delay uncertain system are achieved, an detailed approach to structure state feedback controller is provided. Finally, feasibility and effectiveness of obtained results are illuminated by a concrete example.