Analysis and Design of Descriptor Linear Systems - download pdf or read online

By Guang-Ren Duan

ISBN-10: 1441963960

ISBN-13: 9781441963963

ISBN-10: 1441963979

ISBN-13: 9781441963970

Descriptor linear structures is a crucial and wealthy a part of the overall box of regulate structures concept. This publication presents a scientific improvement of descriptor linear structures protecting points --- research and layout. The textual content offers thorough introductions to the idea of continuous-time descriptor linear structures and to the elemental effects and up to date advances in descriptor linear structures thought. Key beneficial properties of study and layout of Descriptor Linear structures: • Introduces real-world examples of descriptor linear structures • presents step by step algorithms for vital research and layout difficulties • Covers either easy and complicated ends up in the literature of continuous-time descriptor linear structures • contains 3 appendices which offer extra correct fabrics helping the content material of decide on chapters within the booklet The transparent presentation of fabrics and large examples make this e-book effortless to appreciate by means of a large viewers and consequently common readers will locate this e-book to be a complete advent to the speculation of descriptor linear structures. Researchers will discover a complete description of the newest ends up in this thought and scholars will discover a stable creation and review to a few very important difficulties in linear platforms theory.

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3 Problems for Descriptor Linear Systems Analysis and Design The purpose of this section is to outline the basic problems for descriptor linear systems analysis and design. To do this, we first need to introduce the concept of feedback in descriptor linear systems. 1 Feedback in Descriptor Linear Systems To control a system means to alter the system in certain ways through a controller such that the system will “behave” as desired. Therefore, controller design is essential for controlling a system.

With this understanding, it is clear to see that dynamical order assignment is only related with derivative feedback. The problems involved include the following: Given a typical descriptor linear system, determine the range of the dynamical order assignable by a certain type of controllers involving derivative feedback. For any given desired dynamical order p within the allowable range, find the whole set of controllers, Sp ; of the prescribed type such that the closed-loop system has dynamical order p.

31). e. 2 The Kronecker Form A very basic restricted equivalent form for descriptor linear systems is the Kronecker form, which gives full insight of the structure of a general descriptor linear system. 3. 17) t u Proof. The proof immediately follows from the lemma below. 1 (Gantmacher 1974). 17). The above Kronecker form is useful in some theoretical analysis. As will be seen in Sect. 3, this form plays an essential role in deriving the general solution of a descriptor linear system. Nevertheless, this form is not quite suitable for numeral analysis and design since the derivation process may not be numerically reliable.

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

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