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

By Guang-Ren Duan

Descriptor linear structures is a vital and wealthy a part of the final box of keep an eye on structures thought. This ebook offers a scientific improvement of descriptor linear platforms masking elements --- research and layout. The textual content offers thorough introductions to the speculation of continuous-time descriptor linear platforms and to the elemental effects and up to date advances in descriptor linear platforms conception. Key good points of research and layout of Descriptor Linear structures: • Introduces real-world examples of descriptor linear platforms • presents step by step algorithms for very important research and layout difficulties • Covers either uncomplicated and complex leads to the literature of continuous-time descriptor linear platforms • comprises 3 appendices which provide extra proper fabrics assisting the content material of pick out chapters within the e-book The transparent presentation of fabrics and vast examples make this ebook effortless to appreciate through a large viewers and for that reason common readers will locate this ebook to be a complete creation to the speculation of descriptor linear platforms. Researchers will discover a finished description of the latest leads to this idea and scholars will discover a sturdy advent and review to a few vital difficulties in linear structures theory.

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The set of solutions are often presented via parametric expressions, where the parameters represent the design degrees of freedom. A very important fact lying in the parametric approach for eigenstructure assignment is that the established design degrees of freedom, represented by the set of parameters, can be further utilized to achieve many additional design requirements, such as, closed-loop regularity, desired dynamical order and various robustness requirements. Stabilization Stability is one of the most important properties for dynamical systems, and is consequently one of the most important requirements for control system design.

It should be pointed out that the dynamics decomposition form is not unique. 9). We also point out that singular value decomposition (see Sect. 7 in Appendices) may be used to obtain the dynamics decomposition form. 10) where ˙ is a diagonal positive definite matrix of dimension n0 n0 . 9) by pre-multiplying both sides of the first equation by ˙ 1 . 10) is that its derivation is generally numerical reliable, furthermore, instead of getting two general nonsingular transformation matrices, we can get two orthogonal ones.

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. For normal linear systems, this phenomenon is well described by the concept of algebraic equivalence between systems, which involves mainly a similarity transformation between the coefficient matrices of two systems.

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