New PDF release: Analysis and Design of Descriptor Linear Systems

By Guang-Ren Duan

ISBN-10: 1441963960

ISBN-13: 9781441963963

ISBN-10: 1441963979

ISBN-13: 9781441963970

Descriptor linear platforms is a crucial and wealthy a part of the overall box of regulate structures idea. This e-book offers a scientific improvement of descriptor linear structures overlaying elements --- research and layout. The textual content presents thorough introductions to the speculation of continuous-time descriptor linear structures and to the fundamental effects and up to date advances in descriptor linear structures idea. Key positive factors of research and layout of Descriptor Linear structures: • Introduces real-world examples of descriptor linear platforms • offers step by step algorithms for very important research and layout difficulties • Covers either simple and complex ends up in the literature of continuous-time descriptor linear platforms • comprises 3 appendices which provide extra suitable fabrics helping the content material of opt for chapters within the booklet The transparent presentation of fabrics and wide examples make this publication effortless to appreciate by means of a large viewers and hence basic readers will locate this publication to be a entire advent to the idea of descriptor linear structures. Researchers will discover a finished description of the newest ends up in this conception and scholars will discover a stable advent and review to a few very important difficulties in linear structures theory.

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Example text

1 again. E; scribe the circuit network in Fig. 1. e. 1 that restricted equivalent systems are actually the different state space representations of the same practical plant. Therefore, they must have many properties in common. Such properties will be introduced gradually in the following chapters. At this moment, due to limited knowledge about descriptor linear systems, we only give some very basic and simple facts. To be more strict, let us first introduce the following definition. 3. 1). 5) is called an input transmission zero of the system, and any finite ˇ 2 C satisfying Ä rank ˇE A

Eigenstructure Assignment The eigenstructure of a descriptor linear system includes both the finite and infinite poles as well as their corresponding eigenvectors, and we will see in the later chapters that the eigenstructure of a system is closely related with many properties of the system, such as the stability and the dynamical response. Because of this, when we design a controller for a descriptor linear system, it is often desirable to let the closed-loop system possess desired eigenstructure, that is, desired finite and infinite closed-loop eigenvalues and their corresponding eigenvectors.

As a special case of dynamical order assignment, normalization is also investigated. Besides these, all the typical design problems, such as stabilization, eigenstructure assignment, optimal control, and observer design, are treated in this part. 5 Notes and References In this chapter, we introduced models for descriptor linear systems, presented some practical examples, and also outlined the structure of the book. It is worth pointing out that more practical examples of descriptor systems may be found in Campbell (1982), Campbell and Rose (1982), Haggman and Bryant (1984), Kiruthi 30 1 Introduction et al.

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Analysis and Design of Descriptor Linear Systems by Guang-Ren Duan

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