Graphical L-2-stability analysis of Takagi-Sugeno control systems in the frequency domain

作者：Ban Xiaojun^*; Gao X Z; Huang Xianlin

来源：Fuzzy Sets and Systems, 2011, 171(1): 93-105.

DOI：10.1016/j.fss.2011.01.012

• Graphical L-2-stability analysis
• Takagi-Sugeno (T-S) fuzzy control systems
• Circle criterion
• Small gain theorem
• Frequency response methods

In this paper, the upper bound of the L-2-gain of the continuous-time SISO Takagi-Sugeno (T-S) fuzzy system is first graphically obtained in the frequency domain. Based on this upper bound of the L-2-gain, the L-2-stability of the above T-S fuzzy control system is next investigated by using the small gain theorem and circle criterion. Two sufficient conditions are derived, which can be employed to graphically investigate the L-2-stability of certain kind of T-S fuzzy control system in the frequency domain. One numerical example is presented to illustrate how the L-2-stability of the simplified continuous-time T-S fuzzy system can be graphically examined.

• 出版日期2011-5-16
• 单位哈尔滨工业大学