By Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
This booklet develops a suite of reference equipment in a position to modeling uncertainties present in club features, and examining and synthesizing the period type-2 fuzzy structures with wanted performances. It additionally presents various simulation effects for varied examples, which fill sure gaps during this zone of analysis and will function benchmark options for the readers.
Interval type-2 T-S fuzzy versions offer a handy and versatile strategy for research and synthesis of complicated nonlinear structures with uncertainties.
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Extra info for Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems
These properties can be seen in the stability analysis carried out in the next section. 7) is investigated based on the Lyapunov stability theory with the consideration of the information of the LMFs and UMFs, and sub-FOUs. , x(t) is denoted as x. The variables wi (x(t)), wi (x(t)), w˜ i (x(t)), m j (x(t)), m j (x(t)), m˜ j (x(t)), h˜ i jl (x(t)), v1i1 kl (x1 (t)), v2i2 kl (x2 (t)), . , vnin kl (xn (t)) and ξi jl (x(t)) are denoted by wi , wi , w˜ i , m j , m j , m˜ j , h˜ i jl , v1i1 kl , v2i2 kl , .
The main aim by using these advanced approaches is to effectively reduce the conservatism of the obtained results, and thus facilitate the design subsequently. Then, some optimal synthesis problems, including the stabilization, the state and output-feedback control with different system performances, the sampleddata control with actuator fault, the output tracking control with actuator fault, the switched output-feedback control, the filter design with D stability constraints, the fault detection with sensor nonlinearities, and the model reduction with D stability constraints, are investigated based on the analysis results.
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. Attention is focused on solving the H∞ , L 2 -L ∞ , passive and dissipativity fuzzy filter design problems for IT2 fuzzy systems with D stability constraints in a unified frame.