Download Decentralized Systems with Design Constraints by Magdi S. Mahmoud PDF

By Magdi S. Mahmoud

ISBN-10: 0857292897

ISBN-13: 9780857292896

Decentralized platforms with layout Constraints presents a rigorous framework for studying the research, balance and keep watch over of large-scale platforms, and addressing the problems that come up due to dimensionality, details constitution constraints, parametric uncertainty and time-delays.

The achievements of this monograph are three-fold. It:

· studies previous tools and effects from a modern perspective;

· examines current developments and methods to supply destiny probabilities; and

· investigates powerful, trustworthy and/or resilient decentralized layout tools in accordance with a linear matrix inequalities framework.

As good as supplying an total evaluation of large-scale platforms theories during the last numerous many years, the writer provides key similar recommendations and effective computational tools. consultant numerical examples, end-of-chapter difficulties, and common method purposes are incorporated, and theoretical advancements and functional functions of large-scale (interconnected) dynamical structures are mentioned extensive.

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Additional info for Decentralized Systems with Design Constraints

Example text

0] as it should be in the case of the tire Lyapunov matrix X, classical H∞ problems [6, 10, 11]. 3 hold and let X˜ > 0. 49) holds if and only if C˜ t⊥ R˜ C˜ t⊥t < 0, B ⊥ T B ⊥t < 0, T = diag{T1 , . .

Therefore, it is of practical significance that decentralized control must reflect such design constraints by taking into account possible modeling uncertainties. Usually, the uncertainties for interconnected systems appear not only in local subsystems but also in interconnections. From the literature, decentralized robust control for interconnected linear systems with uncertainties satisfying the so-called strict matching conditions was investigated in [3, 17, 56] and references cited therein.

21) by replacing S2 with S2s , and θs = −1 + 2avs . 1. 36) where Ls = LC + λQAts P . 37) where Ξ2s = 0 −QAts P . 4. Assume that 0 < λ < λ∗ . 38) bearing in mind that λM {Ξ3 (Γλ )}λM {Ξ3 (Γ0 )} = μ. 4. 35) holds, since then we have D = μ2 − 8δθs νs λP λQ > 0. Consequently, we choose √ √ −μ − D −μ + D ∗ = λ1 < λ ≤ λ 2 = , −4δνs λP λQ −4δνs λP λQ √ where 0 < λ1 < λ2 since μ < 0 and D ≤ |μ|, so that λ can take any value in the interval [λ1 , λ∗ ]. The local guaranteed robustness degree bounds are now αj = 1/ γj0 λ1 , j = 1, .

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