Robust H∞ filter design for uncertain nonlinear discrete systems with state delay

• 作 者: 蔡云泽 何星 许晓鹏 张卫东
• 机 构: Department of Automation
• 出 处: 系统工程与电子技术（英文版）
• 发表日期: 2004年期
• 关键词: nonlinear systems parametric uncertainty time delay riccati equation

In this paper, we address the problem of robust H∞ filter design for a class of nonlinear discrete-time systems with norm-bounded parameter uncertainty, unknown state delay, and unknown nonlinear disturbance. Firstly, the sufficient condition of the existence of the robust filter is analyzed by the modified Riccati inequalities, such that the filtering process remains robustly stable and a prescribed H∞ performance lever is achieved. Then the filter is characterized in the terms of positive solutions of two algebraic Riccati-like equations, irrespective of the uncertainties, time delays and nonlinearities. The simulation example further shows the validity and the applicability of the proposed approach.