Linear Parameter-Varying and Time-Delay Systems: Analysis, Observation, Filtering & Control

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Springer, 03.09.2014 - 394 Seiten

This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

 

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Inhalt

1 Introduction to LPV Systems
3
2 Stability of LPV Systems
37
3 Control of LPV Systems
93
Part IITimeDelay Systems
120
4 Introduction to TimeDelay Systems
123
5 Stability Analysis of TimeDelay Systems
165
Part IIILinear ParameterVaryingTimeDelay Systems
243
6 Introduction to LPV TimeDelay Systems
244
7 Observation and Filtering of LPV TimeDelay Systems
265
8 Control of LPV TimeDelay Systems
293
A Technical Results in Linear Algebra
334
B Linear Matrix Inequalities
341
C Technical Results in Robust Analysis Control and LMIs
359
Index
391
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