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Titlebook: Control Systems Synthesis; A Factorization Appr Mathukumalli Vidyasagar Book 2011 Springer Nature Switzerland AG 2011

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書目名稱Control Systems Synthesis
副標(biāo)題A Factorization Appr
編輯Mathukumalli Vidyasagar
視頻videohttp://file.papertrans.cn/238/237275/237275.mp4
概述Table of Contents: Filtering and Sensitivity Minimization / Robustness / Extensions to General Settings
叢書名稱Synthesis Lectures on Control and Mechatronics
圖書封面Titlebook: Control Systems Synthesis; A Factorization Appr Mathukumalli Vidyasagar Book 2011 Springer Nature Switzerland AG 2011
描述This book introduces the so-called ""stable factorization approach"" to the synthesis of feedback controllers for linear control systems. The key to this approach is to view the multi-input, multi-output (MIMO) plant for which one wishes to design a controller as a matrix over the fraction field F associated with a commutative ring with identity, denoted by R, which also has no divisors of zero. In this setting, the set of single-input, single-output (SISO) stable control systems is precisely the ring R, while the set of stable MIMO control systems is the set of matrices whose elements all belong to R. The set of unstable, meaning not necessarily stable, control systems is then taken to be the field of fractions F associated with R in the SISO case, and the set of matrices with elements in F in the MIMO case. The central notion introduced in the book is that, in most situations of practical interest, every matrix P whose elements belong to F can be ""factored"" as a ""ratio"" of two matrices N,D whose elements belong to R, in such a way that N,D are coprime. In the familiar case where the ring R corresponds to the set of bounded-input, bounded-output (BIBO)-stable rational transfer
出版日期Book 2011
版次1
doihttps://doi.org/10.1007/978-3-031-01829-9
isbn_softcover978-3-031-00701-9
isbn_ebook978-3-031-01829-9Series ISSN 1939-0564 Series E-ISSN 1939-0572
issn_series 1939-0564
copyrightSpringer Nature Switzerland AG 2011
The information of publication is updating

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Mathukumalli VidyasagarTable of Contents: Filtering and Sensitivity Minimization / Robustness / Extensions to General Settings
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Control Systems Synthesis978-3-031-01829-9Series ISSN 1939-0564 Series E-ISSN 1939-0572
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978-3-031-00701-9Springer Nature Switzerland AG 2011
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,Konstruktive Gestaltung der Gebl?se, the ring . defined in Section 2.1. As pointed out in Section 4.1, the only property of . that is used repeatedly in Chapters 2–7 is the fact that . is a principal ideal domain. Thus, most if not all of the contents of these chapters remain valid if . is replaced by any p.i.d. This is why the synthe
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