T-S Fuzzy Stochastic Bilinear Model and Fuzzy Controller Design Based on Switching Piecewise Lyapunov Functions
Based on a piecewise quadratic Lyapunov function (PQLF), this paper presents stochastic stability analysis and synthesis methods for the discrete time T-S fuzzy bilinear stochastic systems. Two improved stochastic stability conditions have been established. It is shown that the stability in the mean square for T-S fuzzy bilinear stochastic systems can be established if a PQLF can be constructed. Considering the established stability criterion, the controller can be designed , and the closed loop system is asymptotically stable in the mean square sense. An illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.
LI Jiangrong LI Junmin XIA Zhile
School of Science, Xidian University, Xi’an, 710071, P.R.China College of Mathematics and Computer S School of Science, Xidian University, Xi’an, 710071, P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）