Download e-book for iPad: Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based by Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
By Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
This ebook develops a suite of reference equipment able to modeling uncertainties present in club services, and studying and synthesizing the period type-2 fuzzy platforms with wanted performances. It additionally presents quite a few simulation effects for varied examples, which fill convinced gaps during this zone of study and should function benchmark recommendations for the readers.
Interval type-2 T-S fuzzy versions supply 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
The fault-tolerant controller is designed to compensate for the effect of faults by stabilizing the closed-loop system under the actuator failures. 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.
C, are matrices to be determined. 18) i=1 j=1 l=1 where Q i j = Ai X + X AiT + Bi N j + N jT BiT . 20) i=1 j=1 where M = M T ∈ Rn×n ia an arbitrary matrix and 0 ≤ Wi jl = WiTjl ∈ Rn×n . 20), we have p τ +1 c V˙ (t) = ξi jl γ i jl h i jl + γ i jl h i jl z T (t)Q i j z(t) i=1 j=1 l=1 p τ +1 c ξi jl γ i jl h i jl + (1 − γ i jl )h i jl z T (t)Q i j z(t) ≤ i=1 j=1 l=1 p τ +1 c ξi jl (1 − γ i jl ) h i jl − h i jl z T (t)Wi jl z(t) − i=1 j=1 l=1 ⎡ p c +⎣ τ +1 ⎤ ξi jl γ i jl h i jl + (1 − γ i jl )h i jl − 1⎦ z T (t)M z(t) i=1 j=1 l=1 ⎡ p = z T (t) ⎣ c τ +1 ⎤ ξi jl h i jl Q i j − h i jl − h i jl Wi jl + h i jl M − M ⎦ z(t) i=1 j=1 l=1 p c τ +1 + ξi jl γ i jl h i jl − h i jl z T (t) Q i j + Wi jl + M z(t).
Focussing on the parallel theories and techniques developed in the previous part, the second section is extended to deal with discrete-time IT2 T–S fuzzy systems. Specifically, in this part, the main problems, including the optimal control with poles constraint, the fault-tolerant control, the reliable mixed H2 /H∞ control, the output tracking control with predefined cost function, are investigated for the discrete-time IT2 T–S fuzzy systems. Based on the presented results, the corresponding simulation examples are provided to validate the effectiveness and the applicability of the design methods.
Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems by Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao