| 书目名称 | Control Systems Synthesis | | 副标题 | A Factorization Appr | | 编辑 | Mathukumalli Vidyasagar | | 视频video | | | 概述 | Table of Contents: Introduction / Proper Stable Rational Functions / Scalar Systems: An Introduction / Matrix Rings / Stabilization | | 丛书名称 | Synthesis Lectures on Control and Mechatronics | | 图书封面 |  | | 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 | | doi | https://doi.org/10.1007/978-3-031-01828-2 | | isbn_softcover | 978-3-031-00700-2 | | isbn_ebook | 978-3-031-01828-2Series ISSN 1939-0564 Series E-ISSN 1939-0572 | | issn_series | 1939-0564 | | copyright | Springer Nature Switzerland AG 2011 |
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发表于 2025-3-21 18:01:46
