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

System Theory

By Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao

ISBN-10: 9811005923

ISBN-13: 9789811005923

ISBN-10: 9811005931

ISBN-13: 9789811005930

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

Example text

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.

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Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems by Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao


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