Exact fuzzy modeling and optimal control of the inverted pendulum on cart
作者： P.P. Mohanlal , M.R. Kaimal
关键词: Adaptive neuro fuzzy inference system 、 Fuzzy control system 、 Fuzzy number 、 Control theory 、 Fuzzy associative matrix 、 Defuzzification 、 Fuzzy set 、 Fuzzy set operations 、 Mathematics 、 Fuzzy logic
摘要: Presents a method of exact fuzzy (TSK) modeling and optimal control the inverted pendulum on cart, which is benchmark nonlinear dynamic system. Conventionally, TSK (Takagi-Sugeno-Kang) blends local linear models to represent system, in general does not exactly system under consideration. Here, instead models, set 'boundary models' new membership-functions are defined such that blending these result an representation overall The SAM theorem scalar function extended class Optimal controller design results based could be applied for where, boundary gives rise model cart. laws designed each subsystems, again individual laws. This procedure solution original problem. this compared with conventional design.
amrita.edu参考文章(7)
H.O. Wang, K. Tanaka, M. Griffin, Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model ieee international conference on fuzzy systems. ,vol. 2, pp. 531- 538 ,(1995) , 10.1109/FUZZY.1995.409737
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
S. Boyd, Linear Matrix Inequalities in Systems and Control Theory SIAM, Philadelphia, PA, 1994. ,(1994)
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
Shinq-Jen Wu, Chin-Teng Lin, Optimal fuzzy controller design: local concept approach IEEE Transactions on Fuzzy Systems. ,vol. 8, pp. 171- 185 ,(2000) , 10.1109/91.842151
Robert H. Cannon, Dynamics of Physical Systems ,(1967)