Stability Analysis of Polynomial-Fuzzy-Model-Based Control Systems Using Switching Polynomial Lyapunov Function

作者: Hak-Keung Lam , Mohammad Narimani , Hongyi Li , Honghai Liu , None

DOI: 10.1109/TFUZZ.2012.2230005

关键词: Stability theoryStable polynomialPolynomialMathematicsKharitonov's theoremLyapunov functionLyapunov redesignRouth–Hurwitz stability criterionLyapunov equationControl theory

摘要: This paper investigates the stability problem of polynomial-fuzzy-model-based control system, which is formed by a polynomial fuzzy model and a polynomial fuzzy controller …

参考文章(80)
Miguel Bernal, Petr Hušek, NON-QUADRATIC PERFORMANCE DESIGN FOR TAKAGI-SUGENO FUZZY SYSTEMS International Journal of Applied Mathematics and Computer Science. ,vol. 15, pp. 383- 391 ,(2005)
Jean-Jacques E. Slotine, Weiping Li, Applied Nonlinear Control ,(1991)
Gang Feng, Cai-Lian Chen, Dong Sun, Yan Zhu, H/sub /spl infin// controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities IEEE Transactions on Fuzzy Systems. ,vol. 13, pp. 94- 103 ,(2005) , 10.1109/TFUZZ.2004.839662
Leonardo A. Mozelli, Reinaldo M. Palhares, Gustavo S.C. Avellar, A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems Information Sciences. ,vol. 179, pp. 1149- 1162 ,(2009) , 10.1016/J.INS.2008.12.002
H. K. Lam, Frank H. F. Leung, LMI-Based Stability and Performance Conditions for Continuous-Time Nonlinear Systems in Takagi–Sugeno's Form systems man and cybernetics. ,vol. 37, pp. 1396- 1406 ,(2007) , 10.1109/TSMCB.2007.900733
Bong-Jae Rhee, Sangchul Won, A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design Fuzzy Sets and Systems. ,vol. 157, pp. 1211- 1228 ,(2006) , 10.1016/J.FSS.2005.12.020
Xiaojun Ban, X.Z. Gao, Xianlin Huang, A.V. Vasilakos, Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion Information Sciences. ,vol. 177, pp. 4387- 4409 ,(2007) , 10.1016/J.INS.2007.03.014