By Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
This booklet develops a suite of reference equipment able to modeling uncertainties latest in club features, and reading and synthesizing the period type-2 fuzzy platforms with wanted performances. It additionally offers a number of simulation effects for numerous examples, which fill definite gaps during this region of study and should function benchmark strategies for the readers.
Interval type-2 T-S fuzzy versions offer a handy and versatile process for research and synthesis of complicated nonlinear structures with uncertainties.
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Additional resources for Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems
Furthermore, the standard IT2 state-feedback controller is designed such that the closed-loop system is asymptotically stable and has an H∞ performance. The obtained conditions of the fault-tolerant controller and the standard IT2 controller can be expressed by the convex optimization problems. Chapter 12 investigates the problem of reliable mixed H2 /H∞ control for discretetime IT2 fuzzy systems via static output-feedback control method. The number of fuzzy rules and the membership functions for the static output-feedback controller are different from those for the plant.
The static output-feedback controller is designed for two different cases (known sensor failure case and unknown sensor failure case) to guarantee the reliable stability with mixed H2 /H∞ performance. Moreover, a novel criteria are presented to obtain the optical H2 performance for the closed-loop system. Chapter 13 investigates the problem of guaranteed cost output tracking control for discrete-time IT2 fuzzy systems subject to mismatched premise variables. Based on the IT2 T–S fuzzy model, the criterion to design the desired controller is obtained, which guarantees the closed-loop system to be asymptotically stable and satisfies the predefined cost function.
N; l = 1, 2, . . , τ + 1; q ir = 1, 2; x(t) ∈ Φk ; otherwise, vris k (xr (t)) = 0. As a result, we have k=1 i21 =1 2 2 n i 2 =1 . . i n =1 r =1 vrir kl (xr (t)) = 1 for all l, which is used in the stability analysis. 11) l=1 with p c h˜ i j (x(t)) = 1. 12) i=1 j=1 In addition, 0 ≤ γ i jl (x(t)) ≤ γ i jl (x(t)) ≤ 1 are two functions, which are not necessary to be known, exhibiting the property that γ i jl (x(t)) + γ i jl (x(t)) = 1 for all i, j, l; ξi jl (x(t)) = 1 if the membership function h i jl (x(t)) is within the subFOU l, otherwise, ξi jl (x(t)) = 0.