Xiaojun Ban

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⎯ In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated. Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system. Since this sufficient(More)
—In this paper, the mathematical properties of the proportional Takagi-Sugeno (T-S) fuzzy controller are first investigated. Based on these properties, the L 2-stability of the fuzzy control systems, in which the proportional T-S fuzzy controller is utilized, is analyzed by using the well-known circle criterion. A sufficient condition with elegant graphical(More)
This paper is concerned with the issue of stability analysis and controller design for the discrete T-S fuzzy control system with time-delay under imperfect premise matching, in which the discrete T-S fuzzy time-delay model and fuzzy controller do not share the same membership functions. Some novel stability conditions including the information of(More)
In this paper, the stability issue of the T-S fuzzy time-delay control system is investigated, in which the T-S fuzzy time-delay model and the fuzzy controller do not share the same membership functions. New stability conditions in the form of LMIs are proposed by using the Lyapunov function approach. And a numerical example is presented to illustrate the(More)