A T-S fuzzy PSO model and its stability analysis

作者：Feng Ji-Qiang^*; Xie Wei-Xin; Xu Chen

来源：Acta Electronica Sinica, 2011, 39(5): 1150-1153.

• Linear plants
• Local linear
• Lyapunov stability theory
• New model
• Non-linear stochastic systems
• Social components
• Solution space
• Stability analysis
• State feedback controller
• T-S fuzzy
• Tagaki-Sugeno (T-S) fuzzy model
• Time invariants
• Time-varying feedback
• Weighted Sum

Assuming that the solution space is a one-dimensional bounded space, we present a T-S fuzzy stochastic PSO model. PSO is viewed as a time-invariant linear plant with a time-varying feedback controller that is embedded in the T-S fuzzy state system. The randomly weighted sum of the cognition and social components is used as the state feedback controller in the local linear state system. The asymptotic stability of the new model is discussed in two different cases using the Lyapunov stability theory of the nonlinear stochastic systems.

• 出版日期2011