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 TakagiSugeno (T-S) fuzzy controller are first investigated. Based on these properties, the L2stability 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)
In our paper, the analytical structures and properties of the one and two dimensional fuzzy controllers are first investigated in details. The nature of these two kinds of fuzzy controllers is next probed from the viewpoint of control engineering. For the one dimensional fuzzy controller, it is concluded that this controller is a combination of a saturation(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)
A type of Takagi-Sugeno (T-S) Proportional-Integral (PI) fuzzy controllers is studied. The T-S PI fuzzy controller is formed by a T-S Proportional-Derivative (PD) fuzzy controller connected with an integrator. In this particular structure, the T-S PD fuzzy controller is a weighted sum of some linear PD sub-controllers. The mathematical properties of our T-S(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)