Novel LMI-based stability conditions for interval Type-2 T-S fuzzy logic control systems

Yu, Gwo-Ruey; Cheng, Tzu-Fu

doi:10.1109/iciibms.2015.7439524

Cited by 2 publications

(21 citation statements)

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“…In [29], the technique has been extended to the T-S fuzzy model and applied to the practical inverted pendulum system successfully. Thus, the IT2 T-S fuzzy system proposed in [29] is considered, in this paper, to develop the fuzzy controller design method.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the controller design considering the actuator saturation constraint is an essential issue for the modern ship steering system. Based on the IT2 T-S fuzzy system of ship steering systems (46), the proposed design method is compared with the design method in [29] in this simulation. Remark 3.…”

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confidence: 99%

“…In [29], the fuzzy controller design method is also developed based on the IT2 T-S fuzzy model and PDC method. The difference between the proposed design method and the design method in [29] is described below. In this paper, the stochastic behaviors are considered more in the IT2 T-S fuzzy model.…”

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confidence: 99%

“…To demonstrate the advantages of the proposed design method, the design method in [29] is applied to present the comparison results. Thus, the positive definite matrix and control gains of each fuzzy rule can also be obtained by solving the stability conditions proposed in [29] as follows:…”

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confidence: 99%

“…In Figure 3, the comparison between the proposed controller design method and the design method of [29] is presented precisely. For the design method of [29], the requirement of stability is considered in the design process, and the control input is designed as u(t) based on the feedback gains of ( 51)-( 53), which is presented on the left-hand side of Figure 3. When actuation devices have actual saturation limits, the control input of the design method of [29] may be too high for the actuator saturation limits.…”

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

Chang

Lin

et al. 2021

Processes

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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.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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