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A Generalized Framework of Linear Multivariable Control

Autor Liansheng Tan
en Limba Engleză Paperback – 11 ian 2017
A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models.
The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases.
This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory.


  • Presents a comprehensive set of numerical procedures, algorithms, and examples on how to deal with irregular models
  • Provides a summary on generalized framework of linear multivariable control that focuses on generalizations of models and notions
  • Introduces a number of generalized models by using the generalized inverse of matrix
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Specificații

ISBN-13: 9780081019467
ISBN-10: 0081019467
Pagini: 322
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.43 kg
Editura: ELSEVIER SCIENCE

Public țintă

Academics and industrial researchers, postgraduate students in the fields of control systems and optimizations.

Cuprins

1. Introduction
2. Mathematical preliminaries
3. Generalized inverse of matrix and solution of linear system equation
4. Polynomial fraction description
5. Stability
6. Fundamental approaches to control system analysis
7. Determination of finite and infinite frequency structure of a rational matrix
8. The solution of a regular PMD and the set of impulsive free initial conditions
9. A refined resolvent decomposition of a regular polynomial matrix and application to the solution of regular PMDs
10. Frequency structures of generalized companion form and application to the solution of regular PMDs
11. A generalized chain-scattering representation and its algebraic system properties
12. Realization of behavior
13. Related extensions to system well-posedness and internal stability
14. Nonstandard H control problem: A generalized chain-scattering representation approach
15. Internet congestion control: A linear multivariable control look
16. Conclusions and further research