By Guang-Ren Duan
Descriptor linear structures is a crucial and wealthy a part of the final box of keep an eye on platforms idea. This publication offers a scientific improvement of descriptor linear platforms overlaying features --- 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 platforms thought. Key good points of study and layout of Descriptor Linear structures: • Introduces real-world examples of descriptor linear structures • presents step by step algorithms for very important research and layout difficulties • Covers either uncomplicated and complicated ends up in the literature of continuous-time descriptor linear structures • comprises 3 appendices which provide extra proper fabrics assisting the content material of decide upon chapters within the publication The transparent presentation of fabrics and broad examples make this publication effortless to appreciate by way of a large viewers and consequently basic readers will locate this ebook to be a accomplished creation to the speculation of descriptor linear structures. Researchers will discover a finished description of the newest ends up in this idea and scholars will discover a good advent and evaluate to a few very important difficulties in linear structures theory.
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Extra info for Analysis and Design of Descriptor Linear Systems
34) meets certain desired requirements. 33) with 8 ˆ < Ac D A C BKCp : Cpc D Cp ˆ : H D0 Derivative Feedback It is well known from classical control theory that derivative feedback is essential in improving the system performance. Yet it has been pointed out by Dai (1989b) and Mukundan and Dayawansa (1983) that the use of derivative feedback in a normal state space system does not contribute any improvement over that which could be obtained using proportional feedback. 6), derivative feedback can alter many features of the system, such as the regularity and the dynamical order of the system, the infinite and the finite frequencies, and the susceptibility to noise.
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.
Stabilizing controller design: to determine a controller of the prescribed type when the system is stabilizable by this type of controllers, such that the closedloop system is stable. Optimal Control For control systems design, there may be many types of design criteria. 3 Problems for Descriptor Linear Systems Analysis and Design 27 the design criteria; eigenstructure assignment aims to achieve desired closed-loop eigenstructure. While optimal control is related to a different type of design criteria, which are represented by certain objective functions, or indices, the design purpose is to determine a certain type of controllers for a given system such that the objective function is minimized.