Fundamental limitations in filtering and control [electronic resource] / Maria M. Seron, Julio H. Braslavsky, and Graham C. Goodwin.

The issue of fundamental limitations in filtering and control lies at the very heart of any feedback system design, since it reveals what is and is not achievable on the basis of that system's structural and dynamic characteristics. Alongside new succinct treatments of Bode's original resu...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Seron, M. (Maria), 1963-
Other Authors: Braslavsky, J. (Julio), 1962-, Goodwin, Graham C. (Graham Clifford), 1945-
Format: Electronic eBook
Language:English
Published: London ; New York : Springer, ©1997.
Series:Communications and control engineering.
Subjects:

MARC

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245 1 0 |a Fundamental limitations in filtering and control  |h [electronic resource] /  |c Maria M. Seron, Julio H. Braslavsky, and Graham C. Goodwin. 
260 |a London ;  |a New York :  |b Springer,  |c ©1997. 
300 |a 1 online resource (xiv, 369 pages) :  |b illustrations. 
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490 1 |a Communications and control engineering. 
504 |a Includes bibliographical references (pages 351-358) and index. 
505 0 |a I Introduction -- 1 A Chronicle of System Design Limitations -- II Limitations in Linear Control -- 2 Review of General Concepts -- 3 SISO Control -- 4 MIMO Control -- 5 Extensions to Periodic Systems -- 6 Extensions to Sampled-Data Systems -- III Limitations in Linear Filtering -- 7 General Concepts -- 8 SISO Filtering -- 9 MIMO Filtering -- 10 Extensions to SISO Prediction -- 11 Extensions to SISO Smoothing -- IV Limitations in Nonlinear Control and Filtering -- 12 Nonlinear Operators -- 13 Nonlinear Control -- 14 Nonlinear Filtering -- A Review of Complex Variable Theory -- A.1 Functions, Domains and Regions -- A.2 Complex Differentiation -- A.3 Analytic functions -- A.3.1 Harmonic Functions -- A.4 Complex Integration -- A.4.1 Curves -- A.4.2 Integrals -- A.5 Main Integral Theorems -- A.5.1 Green's Theorem -- A.5.2 The Cauchy Integral Theorem -- A.5.3 Extensions of Cauchy's Integral Theorem -- A.5.4 The Cauchy Integral Formula -- A.6 The Poisson Integral Formula -- A.6.1 Formula for the Half Plane -- A.6.2 Formula for the Disk -- A.7 Power Series -- A.7.1 Derivatives of Analytic Functions -- A.7.2 Taylor Series -- A.7.3 Laurent Series -- A.8 Singularities -- A.8.1 Isolated Singularities -- A.8.2 Branch Points -- A.9 Integration of Functions with Singularities -- A.9.1 Functions with Isolated Singularities -- A.9.2 Functions with Branch Points -- A. 10 The Maximum Modulus Principle -- A. 11 Entire Functions -- Notes and References -- B Proofs of Some Results in the Chapters -- B.1 Proofs for Chapter 4 -- B.2 Proofs for Chapter 6 -- B.2.1 Proof of Lemma 6.2.2 -- B.2.2 Proof of Lemma 6.2.4 -- B.2.3 Proof of Lemma 6.2.5 -- C The Laplace Transform of the Prediction Error -- D Least Squares Smoother Sensitivities for Large? -- References. 
520 |a The issue of fundamental limitations in filtering and control lies at the very heart of any feedback system design, since it reveals what is and is not achievable on the basis of that system's structural and dynamic characteristics. Alongside new succinct treatments of Bode's original results from the 1940s, this book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems. The text gives particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness. With extensive appendices covering the necessary background on complex variable theory, this book is an ideal self-contained resource for researchers and practitioners in this field. 
588 0 |a Print version record. 
650 0 |a Feedback control systems.  |0 http://id.loc.gov/authorities/subjects/sh85047649. 
650 0 |a Filters (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85048251. 
650 7 |a Feedback control systems.  |2 fast  |0 (OCoLC)fst00922447. 
650 7 |a Filters (Mathematics)  |2 fast  |0 (OCoLC)fst00924327. 
700 1 |a Braslavsky, J.  |q (Julio),  |d 1962-  |0 http://id.loc.gov/authorities/names/n96096638  |1 http://isni.org/isni/0000000081195030. 
700 1 |a Goodwin, Graham C.  |q (Graham Clifford),  |d 1945-  |0 http://id.loc.gov/authorities/names/n83133563  |1 http://isni.org/isni/000000010885376X. 
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