Fuzzy Hyperbolic H∞ Filter Design for a Class of Nonlinear Discrete-Time Dynamic Systems
This paper studies fuzzy hyperbolic H∞ filter for signal estimation of nonlinear discrete-time systems with state time delay. The fuzzy hyperbolic model (FHM) can be used to establish models for certain unknown complex systems. Furthermore, the main advantage of using the FHM over the Takagi-Sugeno fuzzy model are that no premise structure identification is needed and no completeness design of premise variables space is needed. Also an FHM is a kind of valid global description and nonlinear model in nature. First, FHM is proposed to represent the state-space model for nonlinear discrete-time systems. Next, we design a stable fuzzy H∞ filter based on the FHM, which assures asymptotic stability and a prescribed H∞ index for the filtering error system. A sufficient condition for the existence o such a filter is established through seeking the feasible solutions of a linear mat ix inequality (LMI). Simulation example is provided to illustrate the design procedure of the proposed method.
Fuzzy hyperbolic H∞ filter Nonlinear system
Shuxian Lun
School of Information Science and Engineering, Bohai University, Jinzhou, 12100 The Key Laboratory of Complex System Intelligent Science,Institute of Automatio Chinese Academy of science, Beijing 100080, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
4089-4094
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）