Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its graphical interpretation. These conditions are significant in graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances. © 2007 Elsevier Inc. All rights reserved.
Showing items related by title, author, creator and subject.
Koumboulis, F. N. (1999)The problem of position control, for robot manipulators constrained to carry a load, is studied. Using a nonlinear P-D feedback law the design requirements of command matching and command following are proved to be always ...
Ventzas, D. E.; Pantazaras, C. (2006)The paper examines problems of an anti-sway system for crane control. The crane is modelled and simulated; anti-sway control results are presented and suggestions for further work are made.
Koumboulis, F. N.; Skarpetis, M. G. (2000)The necessary and sufficient conditions for the problem of robust triangular decoupling (RTD) are established for the case of a linear time-invariant system with a nonlinear uncertain structure. The general analytic ...