Decentralized Control and Filtering in Interconnected by Magdi S. Mahmoud PDF

By Magdi S. Mahmoud

ISBN-10: 1439838143

ISBN-13: 9781439838143

Based at the many ways on hand for facing large-scale platforms (LSS), Decentralized regulate and Filtering in Interconnected Dynamical Systems provides a rigorous framework for learning the research, balance, and regulate difficulties of LSS. supplying an total overview of LSS theories, it addresses version order aid, parametric uncertainties, time delays, and keep an eye on estimator achieve perturbations.

Taking readers on a guided journey via LSS, the booklet examines contemporary tendencies and ways and reports earlier tools and effects from a modern viewpoint. It lines the development of study alongside 3 eras:

  1. Fundamental era within which the fundamental conceptual frameworks, significant principles, and operational methodologies are laid down
  2. Contemporary era during which numerous of the doable equipment and methods are verified and utilized to many software areas
  3. Advanced era during which varied high-level schemes and configurations are being constructed to fulfill speeded up technological advancements

Focusing on strong, trustworthy, and/or resilient decentralized layout tools in keeping with linear matrix inequalities framework, the writer bargains feedback for advancements to present techniques. He addresses the dominating assets of problems because of dimensionality, info constitution constraints, uncertainties, and time delays. Drawing realization to key matters, the textual content is supported by way of proofs, effective computational equipment, end-of-chapter difficulties, and nearly 1,300 equations.

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Additional resources for Decentralized Control and Filtering in Interconnected Dynamical Systems

Sample text

In the sequel, we investigate the stabilization problem via a multilevel (hierarchical) technique [136, 236]. For a comprehensive overview about the hierarchical control theory and applications, the readers are referred to [192, 194]. The principal idea of a two-level control structure is to define a set of subproblems that can be considered independent at a certain level (subsystem level). Through the manipulation of the interplaying effect at a higher level (coordinator), we obtain the global solution.

The matrices Aj ∈ nj ×nj , Bj ∈ nj ×mj , Cj ∈ nj ×sj , Ajk ∈ nj ×nk are real and constants. The uncertain matrices ΔAj (rj (t)) and ΔBj (sj (t)) depend continuously on the Lebesgue-measurable parameters rj ∈ j ⊂ pj and sj ∈ ℘j ⊂ qj , respectively, where j and ℘j are appropriate compact bounding sets. Also, the term Cj vj (t) accounts for external input uncertainty, Chapter 3. Historical Perspective and Scope 52 Zj (t) ∈ nj is the coupling vector with other subsystems, and hj (t) ∈ nj contains the uncertainties in the interconnections between the jth subsystem and the other subsystems.

72) is suboptimal with index nentially stable with degree π. and globally expo- Observe that λM (P) and λm (W) are the maximum and minimum eigenvalues of matrices P and W, respectively, with λM (P) = maxj {λM (Pj )} and λm (W) = minj {λm (Wj )}. 6. Linear Systems where Kg ∈ m×n 65 is a constant matrix to be selected such that [322] inf ||(H − BKg )x|| Kg is achieved for all x ∈ n . Taking into consideration the fact that ||(H − BKg )x|| ≤ ||(H − BKg )||||x|| holds for all x ∈ n , then the selection of Kg reduces to finding minKg ||H − BKg || for which the solution is known to be Kg = B † H where B † is the Moore-Penrose generalized inverse of B [162].

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Decentralized Control and Filtering in Interconnected Dynamical Systems by Magdi S. Mahmoud


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