UID:
almahu_9949421039602882
Format:
1 PDF (xviii, 172 pages)
ISBN:
9781611975727
Series Statement:
Computational science & engineering ; CS20
Content:
In many dynamical systems, time delays arise because of the time it takes to measure system states, perceive and evaluate events, formulate decisions, and act on those decisions. The presence of delays may lead to undesirable outcomes; without an engineered design, the dynamics may underperform, oscillate, and even become unstable. How to study the stability of dynamical systems influenced by time delays is a fundamental question. Related issues include how much time delay the system can withstand without becoming unstable and how to change system parameters to render improved dynamic characteristics, utilize or tune the delay itself to improve dynamical behavior, and assess the stability and speed of response of the dynamics. Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems addresses these questions for linear time-invariant (LTI) systems with an eigenvalue--based approach built upon frequency domain techniques. Readers will find key results from the literature, including all subtopics for those interested in deeper exploration. The book presents step-by-step demonstrations of all implementations--including those that require special care in mathematics and numerical implementation--from the simpler, more intuitive ones in the introductory chapters to the more complex ones found in the later chapters. MAPLE and MATLAB code is available from the author's website.
Note:
Introduction -- Stability in delay and system parameter spaces -- Analyzing stability : two fundamental examples -- Discussion -- Preliminaries -- Stability of SISO systems -- Stabilizing PI/PID controllers via frequency sweeping -- Degenerate cases -- Discussion -- Preliminaries -- Kronecker operations -- Bilinear transformation and its variations -- CTCR and root clustering -- Other approaches to handle commensurate delays -- Discussion -- Preliminaries -- CTCR and root clustering -- CTCR concepts and bilinear transformation -- Kronecker operations -- Frequency sweeping and geometric interpretations -- Discussion.
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Also available in print version.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader.
Additional Edition:
Print version: ISBN 9781611975710
Language:
English
DOI:
10.1137/1.9781611975727
URL:
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