By Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
This e-book develops a suite of reference equipment in a position to modeling uncertainties latest in club services, and examining and synthesizing the period type-2 fuzzy platforms with wanted performances. It additionally offers various simulation effects for varied examples, which fill yes gaps during this zone of study and should function benchmark suggestions for the readers.
Interval type-2 T-S fuzzy versions supply a handy and versatile technique for research and synthesis of advanced nonlinear platforms with uncertainties.
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Additional info for Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems
A switched output-feedback controller, which depends on the values of membership functions, is constructed. The membership functions of IT2 fuzzy systems contain parameter uncertainties. Based on the type-2 fuzzy set theory, the parameter uncertainties can be effectively obtained. A novel type of IT2 switched output-feedback controller is designed to ensure that the closed-loop system is asymptotically stable with an H∞ performance. Chapter 7 investigates the problem of filter design for IT2 fuzzy systems with D stability constraints based on a new performance index.
The content of this book can be divided into two parts. 14 1 Introduction The first part will provide analysis and synthesis of continuous-time IT2 T–S fuzzy systems. Some sufficient conditions are derived for the stability, different controllers and filters design for the considered IT2 T–S fuzzy systems with different performances. The developed methodologies include the Lyapunov stability approach, LMI technique, etc. The main aim by using these advanced approaches is to effectively reduce the conservatism of the obtained results, and thus facilitate the design subsequently.
10) can be seen. The membership functions h˜ i j are reconstructed by the linear combination of the local LMFs and UMFs h i jl and h i jl . 21), the stability of the IT2 FMB control system is determined by the local LMFs and UMFs h i jl and h i jl . in kl . 23) to facilitate the stability analysis. 23). 7. 2, x > 0 and Q i j < 0 for all i and j can be achieved. 15) can be satisfied. in kl Wi jl −ε1 I < 0 for all i 1 , i 2 , . . , i n , k and l, which will be satisfied by a sufficiently small value of ε2 .