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| 001 | 978-3-031-01828-2 | ||
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| 008 | 220601s2011 sz | s |||| 0|eng d | ||
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_a9783031018282 _9978-3-031-01828-2 |
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_a10.1007/978-3-031-01828-2 _2doi |
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_aVidyasagar, Mathukumalli. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _983191 |
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| 245 | 1 | 0 |
_aControl Systems Synthesis _h[electronic resource] : _bA Factorization Approach, Part I / _cby Mathukumalli Vidyasagar. |
| 250 | _a1st ed. 2011. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2011. |
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| 300 |
_aXVII, 166 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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_aSynthesis Lectures on Control and Mechatronics, _x1939-0572 |
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| 505 | 0 | _aIntroduction -- Proper Stable Rational Functions -- Scalar Systems: An Introduction -- Matrix Rings -- Stabilization.. Thus problems of reliable stabilization, disturbance rejection, robust stabilization etc. can all be formulated in terms of choosing an appropriate R. This is a reprint of the book Control System Synthesis: A Factorization Approach originally published by M.I.T. Press in 1985. Table of Contents: Introduction / Proper Stable Rational Functions / Scalar Systems: An Introduction / Matrix Rings / Stabilization. | |
| 520 | _aThis 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 functions, coprimeness is equivalent to two functions not having any common zeros in the closed right half-plane including infinity. However, the notion of coprimeness extends readily to discrete-time systems, distributed-parameter systems in both the continuous- as well as discrete-time domains, and to multi-dimensional systems. Thus the stable factorization approach enables one to capture all these situations within a common framework. The key result in the stable factorization approach is the parametrization of all controllers that stabilize a given plant. It is shown that the set of all stabilizing controllers can be parametrized by a single parameter R, whose elements all belong to R. Moreover, every transfer matrix in the closed-loop system is an affine function of the design parameter R. Thus problems of reliable stabilization, disturbance rejection, robust stabilization etc. can all be formulated in terms of choosing an appropriate R. This is a reprint of the book Control System Synthesis: A Factorization Approach originally published by M.I.T. Press in 1985. Table of Contents: Introduction / Proper Stable Rational Functions / Scalar Systems: An Introduction / Matrix Rings / Stabilization. | ||
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_aData Mining and Knowledge Discovery. _983196 |
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| 773 | 0 | _tSpringer Nature eBook | |
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_iPrinted edition: _z9783031007002 |
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_iPrinted edition: _z9783031029561 |
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_aSynthesis Lectures on Control and Mechatronics, _x1939-0572 _983198 |
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