By Guang-Ren Duan
Descriptor linear platforms is a vital and wealthy a part of the overall box of keep watch over structures thought. This publication offers a scientific improvement of descriptor linear platforms protecting features --- research and layout. The textual content presents thorough introductions to the idea of continuous-time descriptor linear structures and to the fundamental effects and up to date advances in descriptor linear platforms conception. 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 very important research and layout difficulties • Covers either easy and complex ends up in the literature of continuous-time descriptor linear structures • comprises 3 appendices which provide extra appropriate fabrics assisting the content material of decide upon chapters within the e-book The transparent presentation of fabrics and wide examples make this ebook effortless to appreciate by way of a large viewers and for this reason basic readers will locate this publication to be a entire creation to the speculation of descriptor linear platforms. Researchers will discover a entire description of the newest leads to this thought and scholars will discover a strong advent and review to a few vital difficulties in linear structures theory.
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Additional resources for Analysis and Design of Descriptor Linear Systems
20) with a nonzero matrix B. 5. Rolling ring drive (Schmidt 1994, see also Hou 1995) Fig. 4 shows a simplified model of a rolling ring drive, which converts rotary motion of a plain Fig. 2 Examples of Descriptor Linear Systems 11 round shaft into linear movement. It operates like a nut on a threaded bar, however the pitch of both left-hand and right-hand is variable depending on the angle of the rolling rings. m2 / has been modeled as spring-dashpot elements with coefficients k2 and d2 as well as k1 and d1 , respectively.
E; dimensions, and are to be designed. 38) is called a normal dynamical compensator. Otherwise, it is called a descriptor dynamical compensator. 40) possesses certain desired properties. 2 Problems for Descriptor Linear Systems Analysis Concerning analysis of descriptor linear systems, there are many problems. The following gives a brief description of the most basic ones. 2 introduces the state space representations for descriptor systems. It is easily understood that the state space representation of a descriptor system is not unique since the choice of the state vector has some flexibility.
Some notes and comments follow in Sect. 4. 1 Restricted System Equivalence In this section, we define the restricted system equivalence for descriptor linear systems, which is a generalization of the algebraic equivalence relation in standard normal linear systems theory. For standard normal linear systems, the equivalence relation involves mainly a similarity transformation between the coefficient matrices of two systems. We will soon find out that, for descriptor linear systems, the equivalence relation between two descriptor linear systems is determined by a transformation, which involves two nonsingular matrices.
Analysis and Design of Descriptor Linear Systems by Guang-Ren Duan