NON-QUADRATIC PERFORMANCE DESIGN FOR TAKAGI-SUGENO FUZZY SYSTEMS
作者： Miguel Bernal , Petr Hušek
DOI:
关键词:
摘要: This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds control performance specifications such as decay rate conditions, requirements input and output disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically solvable with commercially available software. The design is illustrated an example.
参考文章(15)
Kazuo Tanaka, Hua O. Wang, Fuzzy control systems design and analysis ,(2001)
S.S. Farinwata, G. Vachtsevanos, Stability analysis of the fuzzy logic controller designed by the phase portrait assignment algorithm ieee international conference on fuzzy systems. pp. 1377- 1382 ,(1993) , 10.1109/FUZZY.1993.327594
Thierry Marie Guerra, Laurent Vermeiren, LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form Automatica. ,vol. 40, pp. 823- 829 ,(2004) , 10.1016/J.AUTOMATICA.2003.12.014
Kazuo Tanaka, Michio Sugeno, Stability analysis and design of fuzzy control systems Fuzzy Sets and Systems. ,vol. 45, pp. 135- 156 ,(1992) , 10.1016/0165-0114(92)90113-I
Miguel Bernal, Petr Hušek, CONTROLLER SYNTHESIS WITH INPUT AND OUTPUT CONSTRAINTS FOR FUZZY SYSTEMS IFAC Proceedings Volumes. ,vol. 38, pp. 407- 412 ,(2005) , 10.3182/20050703-6-CZ-1902.01146
Gang Feng, Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions IEEE Transactions on Fuzzy Systems. ,vol. 11, pp. 605- 612 ,(2003) , 10.1109/TFUZZ.2003.817837
H.O. Wang, K. Tanaka, M.F. Griffin, An approach to fuzzy control of nonlinear systems: stability and design issues IEEE Transactions on Fuzzy Systems. ,vol. 4, pp. 14- 23 ,(1996) , 10.1109/91.481841
Tomohiro Takagi, Michio Sugeno, Fuzzy identification of systems and its applications to modeling and control systems man and cybernetics. ,vol. 15, pp. 116- 132 ,(1985) , 10.1109/TSMC.1985.6313399
M. Bernal, Non-Quadratic Discrete Fuzzy Controller Design Performing Decay Rate ieee international conference on fuzzy systems. pp. 260- 264 ,(2005) , 10.1109/FUZZY.2005.1452403
K. Tanaka, T. Ikeda, H.O. Wang, Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs IEEE Transactions on Fuzzy Systems. ,vol. 6, pp. 250- 265 ,(1998) , 10.1109/91.669023