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

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

By Guang-Ren Duan

ISBN-10: 1441963960

ISBN-13: 9781441963963

ISBN-10: 1441963979

ISBN-13: 9781441963970

Descriptor linear structures is a vital and wealthy a part of the overall box of keep an eye on platforms thought. This publication 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 platforms conception. Key beneficial properties of study and layout of Descriptor Linear platforms: • Introduces real-world examples of descriptor linear platforms • offers step by step algorithms for vital research and layout difficulties • Covers either uncomplicated and complicated ends up in the literature of continuous-time descriptor linear structures • contains 3 appendices which provide extra proper fabrics assisting the content material of pick out chapters within the publication The transparent presentation of fabrics and broad examples make this e-book effortless to appreciate by way of a large viewers and accordingly normal readers will locate this publication to be a finished creation to the idea of descriptor linear structures. Researchers will discover a complete description of the newest leads to this thought and scholars will discover a good creation and assessment to a couple vital difficulties in linear platforms theory.

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Extra resources for Analysis and Design of Descriptor Linear Systems

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The same dynamical order. 2. The same characteristic equation when they are square, and hence the same finite poles. 3. The same input and output transmission zeros when they are square. Proof. 4) that Q QEP D E; which clearly implies, in view of the nonsingularity of the matrices P and Q, Q rankE D rankE: Thus, the first conclusion holds. 2) possess the same characteristic equation, and hence the same finite poles. The last conclusion of the theorem is an immediate corollary of the second conclusion and the following basic proposition.

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. In other words, the transformation matrices P and Q may sometimes not be obtained to a required degree of precision. Moreover, since these two matrices are only nonsingular, their inverses, which are often involved in the analysis and design problems, may also possess poor precision.

The orthogonality of the third arm to the cleaning surface, which can be described by Â1 C Â2 C Â3 D 0. Obviously, during the cleaning process these two constraints should be kept active. The Nonlinear Model The motion of constrained robots can be easily modeled as a descriptor system. One needs only to add the constraint equations and the corresponding generalized constrained force to the motion equation of a free robot. The systematic modeling procedure for the motion of a free robot is well established, see, for example, Craig (1986).

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

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