By Guang-Ren Duan
Descriptor linear platforms is a crucial and wealthy a part of the overall box of keep watch over platforms idea. This booklet offers a scientific improvement of descriptor linear structures masking elements --- research and layout. The textual content offers 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 conception. Key positive aspects 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 simple and complicated leads to the literature of continuous-time descriptor linear platforms • comprises 3 appendices which offer extra appropriate fabrics aiding the content material of opt for chapters within the ebook The transparent presentation of fabrics and huge examples make this publication effortless to appreciate by means of a large viewers and hence normal readers will locate this e-book to be a finished advent to the idea of descriptor linear platforms. Researchers will discover a entire description of the newest leads to this conception and scholars will discover a sturdy creation and assessment to a couple vital difficulties in linear platforms theory.
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Extra info for Analysis and Design of Descriptor Linear Systems
This has two meanings: When the open-loop system is regular, we need to design a controller such that the closed-loop system maintains regularity together with some other requirements. When the open-loop system is not regular, the first thing we should look into is whether the system can be made regular by certain types of feedback controllers. This raises the problem of regularizability. When the system is verified to be regularizable by the desired type of feedback controllers, then a controller needs to be designed to assure the closed-loop regularity.
As a matter of fact, stabilization is the minimum requirement for a normal linear system to be stabilized by state feedback, while detectability is the minimum condition for a normal linear system to have a full-order state observer. These concepts and facts can also be generalized to the case of descriptor linear systems. Problems involving these two concepts are the following: Defining stabilizability and detectability for descriptor linear systems. Establishing criteria for identifying stabilizability and detectability of a given descriptor linear system.
Different from the standard normal system case, a state observer for a descriptor linear system may take the form of either a standard normal system form or a general descriptor system form, and the purpose is to properly determine the coefficient matrices involved in the constructed system such that the output of the constructed system approaches asymptotically the state vector of the given descriptor linear system. Observer design problems do arise in applications which need only a linear combination of the state variables, Kx, rather than the whole state vector.
Analysis and Design of Descriptor Linear Systems by Guang-Ren Duan