Design of a multilevel fuzzy controller for nonlinear systems and stability analysis

2005 ◽  
Vol 13 (6) ◽  
pp. 761-778 ◽  
Author(s):  
Chengying Xu ◽  
Y.C. Shin
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Fuzzy Controller

scholarly journals Actuator Saturated Fuzzy Controller Design for Interval Type-2 Takagi-Sugeno Fuzzy Models with Multiplicative Noises

Processes ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 823
Author(s):  
Wen-Jer Chang ◽  
Yu-Wei Lin ◽  
Yann-Horng Lin ◽  
Chin-Lin Pen ◽  
Ming-Hsuan Tsai
Keyword(s):  
Nonlinear Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Actuator Saturation ◽  
Design Method ◽  
Fuzzy Model ◽  
The Stability ◽  
Interval Type ◽  
Takagi Sugeno

In many practical systems, stochastic behaviors usually occur and need to be considered in the controller design. To ensure the system performance under the effect of stochastic behaviors, the controller may become bigger even beyond the capacity of practical applications. Therefore, the actuator saturation problem also must be considered in the controller design. The type-2 Takagi-Sugeno (T-S) fuzzy model can describe the parameter uncertainties more completely than the type-1 T-S fuzzy model for a class of nonlinear systems. A fuzzy controller design method is proposed in this paper based on the Interval Type-2 (IT2) T-S fuzzy model for stochastic nonlinear systems subject to actuator saturation. The stability analysis and some corresponding sufficient conditions for the IT2 T-S fuzzy model are developed using Lyapunov theory. Via transferring the stability and control problem into Linear Matrix Inequality (LMI) problem, the proposed fuzzy control problem can be solved by the convex optimization algorithm. Finally, a nonlinear ship steering system is considered in the simulations to verify the feasibility and efficiency of the proposed fuzzy controller design method.

Nonlinear Systems: Stability Analysis

1977 ◽  
Vol 23 (9) ◽  
pp. 741
Author(s):  
S.P. Banks
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems

Stability Analysis of Nonlinear Systems via Descriptor Equations

2004 ◽  
Vol 37 (11) ◽  
pp. 557-562
Author(s):  
Masao Ikeda ◽  
Teruyo Wada ◽  
Eiho Uezato
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems
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