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

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 sa...

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Bibliographic Details
Published inProcesses Vol. 9; no. 5; p. 823
Main Authors Chang, Wen-Jer, Lin, Yu-Wei, Lin, Yann-Horng, Pen, Chin-Lin, Tsai, Ming-Hsuan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 2021
Subjects
Actuators
Algorithms
Behavior
Computational geometry
Control stability
Control systems design
Control theory
Controllers
Convexity
Design techniques
Fuzzy control
Fuzzy sets
Fuzzy systems
Linear matrix inequalities
Nonlinear systems
Optimization
Parameter uncertainty
Saturation
Stability analysis
Steering
Stochastic systems
Stochasticity
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Summary: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.
ISSN:2227-9717
2227-9717
DOI:10.3390/pr9050823