Discussions on observer design of nonlinear positive systems via T-S fuzzy modeling

作者：Zhao Xudong^*; Wu Tingting; Zheng Xiaolong; Li Ren

来源：Neurocomputing, 2015, 157: 70-75.

DOI：10.1016/j.neucom.2015.01.034

• T-S fuzzy system
• Observer
• Positive nonlinear system
• Lyapunov function

In this paper, the problems of state estimation for nonlinear positive systems based on T-S fuzzy modeling will be investigated. It will be shown that some new issues naturally arise when designing observers for positive nonlinear systems by using T-S fuzzy modeling approach. The results are developed in the following two cases: first, for systems that can be modeled by T-S fuzzy model composed of all positive local subsystems, a novel quadratic Lyapunov function is proposed to reduce the conservativeness by some other existing methods; second, for derived T-S fuzzy model comprising non-positive subsystems, the observer design is converted into the problem of stability for a positive linear system, upon which, a new algebraic algorithm for constructing a observer is given. Two numerical examples are given to demonstrate the effectiveness and applicability of the obtained theoretical results.

• 出版日期2015-6-1
• 单位渤海大学