By Guang-Ren Duan
Descriptor linear platforms is a vital and wealthy a part of the overall box of keep an eye on structures conception. This ebook offers a scientific improvement of descriptor linear structures masking elements --- research and layout. The textual content offers thorough introductions to the idea of continuous-time descriptor linear platforms and to the elemental effects and up to date advances in descriptor linear structures conception. Key good points of research 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 platforms • contains 3 appendices which offer extra appropriate fabrics helping the content material of pick out chapters within the booklet The transparent presentation of fabrics and huge examples make this publication effortless to appreciate through a large viewers and for this reason basic readers will locate this publication to be a complete creation to the idea of descriptor linear platforms. Researchers will discover a accomplished description of the latest leads to this thought and scholars will discover a reliable creation and evaluate to a couple vital difficulties in linear structures theory.
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Additional info for Analysis and Design of Descriptor Linear Systems
10) is that its derivation is generally numerical reliable, furthermore, instead of getting two general nonsingular transformation matrices, we can get two orthogonal ones. Since the inverses of orthogonal matrices can be exactly obtained by taking their transposes, the coefficient matrices of the finally obtained dynamics decomposition form are very accurate. 2. 29) in Sect. 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.
Due to this reason, we here will not give an algorithm for deriving the Kronecker form. 1 in Gantmacher (1974). 7). They are called canonical restricted equivalent forms for derivative feedback because, as we will find later in the second part of the book, they have close relations with derivative feedback designs.
This involves presenting various criteria for controllability and observability, and gives better understanding about the two concepts. What do controllability and observability offer in descriptor linear systems analysis and design? As we will find out, like the normal linear system case, all controllable and observable descriptor linear systems admit certain special structures, which are convenient for control systems design. Specifically, controllability and observability offer the conditions for the problems of pole (eigenstructure) assignment and observer design.
Analysis and Design of Descriptor Linear Systems by Guang-Ren Duan