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- Introduction
- Linear Time-Varying Systems
- Quadratic Stability
- Systems Depending on Bounded Rate Uncertainties
- Controller Design
- Discrete-Time Systems.
The last thirty years have witnessed an enormous e?ort in the ?eld of robust control of dynamical systems. The main objective of this book is that of presenting,inauni?edframework,themainresultsappearedintheliterature on this topic, with particular reference to the robust stability problem for linear systems subject to time-varying uncertainties. Thebookmainly focuseson thoseproblems for which ade?nitive solution has been found; indeed most of the results we shall present are given in the form of necessary and su?cient conditions involving the feasibility of Linear Matrix Inequalities based problems. For self-containedness purposes, most of the results provided in the book areproven.Wehavetriedtomaintainthedevelopmentoftheproofsassimple as possible, without sacri?cing the mathematical rigor. Some parts of the book (especially those contained in Chaps. 2, 3 and 5) can be teached in advanced control courses; however this work is mainly devoted to both researchers in the ?eld of systems and control theory and engineers working in industries which want to apply the methodologies p- sentedinthebooktopracticalcontrolproblems.Tothisregard,asthevarious resultsarederived,theyareimmediatelyreinforcedwithrealworldexamples.
- Linear Time-Varying Systems
- Quadratic Stability
- Systems Depending on Bounded Rate Uncertainties
- Controller Design
- Discrete-Time Systems.
The last thirty years have witnessed an enormous e?ort in the ?eld of robust control of dynamical systems. The main objective of this book is that of presenting,inauni?edframework,themainresultsappearedintheliterature on this topic, with particular reference to the robust stability problem for linear systems subject to time-varying uncertainties. Thebookmainly focuseson thoseproblems for which ade?nitive solution has been found; indeed most of the results we shall present are given in the form of necessary and su?cient conditions involving the feasibility of Linear Matrix Inequalities based problems. For self-containedness purposes, most of the results provided in the book areproven.Wehavetriedtomaintainthedevelopmentoftheproofsassimple as possible, without sacri?cing the mathematical rigor. Some parts of the book (especially those contained in Chaps. 2, 3 and 5) can be teached in advanced control courses; however this work is mainly devoted to both researchers in the ?eld of systems and control theory and engineers working in industries which want to apply the methodologies p- sentedinthebooktopracticalcontrolproblems.Tothisregard,asthevarious resultsarederived,theyareimmediatelyreinforcedwithrealworldexamples.
From the reviews:
"This book provides a systematic treatment of the theory of robust control of dynamical systems. ... The author has chosen to consider only the problems for which a definitive solution has been found, having in mind researchers or engineers working in industries who want to apply these methodologies to practical control problems. ... The presentation is self contained, all proofs are given as well as real world examples. ... The self contained presentation makes it suitable to be used for educational post-graduate purposes." (Anna Maria Perdon, Zentralblatt MATH, Vol. 1142, 2008)
"This book provides a systematic treatment of the theory of robust control of dynamical systems. ... The author has chosen to consider only the problems for which a definitive solution has been found, having in mind researchers or engineers working in industries who want to apply these methodologies to practical control problems. ... The presentation is self contained, all proofs are given as well as real world examples. ... The self contained presentation makes it suitable to be used for educational post-graduate purposes." (Anna Maria Perdon, Zentralblatt MATH, Vol. 1142, 2008)