Abstract

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.

Highlights

  • In 1965, the concept of fuzzy sets was firstly proposed by Zadeh [1]

  • The main target of this paper is to investigate a useful and valuable theoretical development for the design of actuator saturated fuzzy controller for interval type-2 Takagi-Sugeno fuzzy models with multiplicative noises

  • A fuzzy controller design method subject to actuator saturation was proposed for the nonlinear systems with parameter uncertainties based on the Interval Type-2 (IT2) T-S fuzzy model

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Summary

Introduction

In 1965, the concept of fuzzy sets was firstly proposed by Zadeh [1]. The TakagiSugeno (T-S) fuzzy model has been proposed as an effective modeling method for complex nonlinear systems based on fuzzy sets. Based on the type-1 T-S fuzzy model, more and more researchers have developed the controller design method of stochastic nonlinear systems [35,36]. The fuzzy control methods are designed based on the IT2 T-S fuzzy model to solve the control problem of stochastic nonlinear systems with parameter uncertainties [37,38]. To achieve the performance requirement under the effects of stochastic behaviors, the control force may become bigger even over the limit of practical systems Because of this reason, the constraint of actuator. Because of this reason, the constraint of actuator sasatuturaratitoionnisisalaslosonneceecsessasrayrytotobbeecocmombbininededininththeefufuzzyzycocnotnrtorlolellrerdedseisgingnmmetehtohdo.dM.

System Descriptions and Problem Statements
Stability Analysis for IT2 T-S Fuzzy System Subject to Actuator Saturation
Simulation of Nonlinear Ship Steering System
Ship movement is beyond the limit
Conclusions
Full Text
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