State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers
Information Sciences: an International Journal
H∞ controller synthesis via switched PDC scheme for discrete-time T-S fuzzy systems
IEEE Transactions on Fuzzy Systems
Improved controller design for switching fuzzy model-based control
ACC'09 Proceedings of the 2009 conference on American Control Conference
Slack stability analysis of a class of switched fuzzy systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Switching fuzzy model construction based on optimal dividing planes
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Robust fuzzy controller design for nonlinear multiple time-delay systems by dithers
Fuzzy Sets and Systems
| Hi-index | 0.00 |
This paper presents a switching fuzzy controller design for a class of nonlinear systems. A switching fuzzy model is employed to represent the dynamics of a nonlinear system. In our previous papers, we proposed the switching fuzzy model and a switching Lyapunov function and derived stability conditions for open-loop systems. In this paper, we design a switching fuzzy controller. We firstly show that switching fuzzy controller design conditions based on the switching Lyapunov function are given in terms of bilinear matrix inequalities, which is difficult to design the controller numerically. Then, we propose a new controller design approach utilizing an augmented system. By introducing the augmented system which consists of the switching fuzzy model and a stable linear system, the controller design conditions based on the switching Lyapunov function are given in terms of linear matrix inequalities (LMIs). Therefore, we can effectively design the switching fuzzy controller via LMI-based approach. A design example illustrates the utility of this approach. Moreover, we show that the approach proposed in this paper is available in the research area of piecewise linear control.