H∞ State Estimation for a Unified Chaotic System with Uncertainty
The unified chaotic system incorporates the behaviors of the Lorenz, the Chen and the L?chaotic systems. In this paper, the H∞ state estimation problem is investigated for a unified chaotic system with uncertainty (noise perturbation). The unified chaotic system is first transformed into a Lurs system. Based on the H∞ performance analysis for the Lurs system, an improved Luenberger-like estimator (or filter) is designed to estimate its states through available output measurements such that the exponential stability of the estimation error dynamic systems is guarantee and the influence of noise on the estimation error is limited within a lowest level. The parameters of the estimator (or filter) are obtained by solving the eigenvalue problem (EVP). A numerical example is provided to show the usefulness of the proposed estimation method.
H∞ filter state estimation unified chaotic system exponentially stability
LIU Meiqin ZHANG Senlin FAN Zhen ZHENG Shiyou
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China Radar and Avionics Institute of AVIC, Wuxi 214063, China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
957-962
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）