LMI-Based Robustness Analysis in Uncertain Systems
Seiten
2024
now publishers Inc (Verlag)
978-1-63828-298-3 (ISBN)
now publishers Inc (Verlag)
978-1-63828-298-3 (ISBN)
Provides a unified framework for the fundamental and challenging area of robustness analysis of uncertain systems, where even the most basic problem of establishing robust stability may be still present. This framework uses linear matrix inequalities (LMIs) to exploit polynomials that can be expressed as sums of squares of polynomials (SOS).
The study of uncertain systems has played a significant role throughout the history of control engineering due to unknown quantities often being present in the mathematical model of a plant. In this monograph the author provides a unified framework for the fundamental and challenging area of robustness analysis of uncertain systems, where even the most basic problem of establishing robust stability may be still present.
This framework uses linear matrix inequalities (LMIs) to exploit polynomials that can be expressed as sums of squares of polynomials (SOS).The author guides the reader through the motivations for using the framework including considering various types of uncertainties; providing guarantees for robust stability and robust performance; requiring the solution of convex optimization problems; allowing for trade-off between conservatism and complexity; and concluding with a number of special case methods.
This monograph can be used by researchers and students to understand the issues and use the numerical examples to identify the use of the framework in modern controls systems.
The study of uncertain systems has played a significant role throughout the history of control engineering due to unknown quantities often being present in the mathematical model of a plant. In this monograph the author provides a unified framework for the fundamental and challenging area of robustness analysis of uncertain systems, where even the most basic problem of establishing robust stability may be still present.
This framework uses linear matrix inequalities (LMIs) to exploit polynomials that can be expressed as sums of squares of polynomials (SOS).The author guides the reader through the motivations for using the framework including considering various types of uncertainties; providing guarantees for robust stability and robust performance; requiring the solution of convex optimization problems; allowing for trade-off between conservatism and complexity; and concluding with a number of special case methods.
This monograph can be used by researchers and students to understand the issues and use the numerical examples to identify the use of the framework in modern controls systems.
1. Introduction
2. Optimization with LMIs
3. Positive Matrix Polynomials
4. Models for Uncertain Systems
5. Robust Stability
6. Robust Performance
7. Conclusion
Acknowledgements
Appendices
References
Erscheinungsdatum | 13.02.2024 |
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Reihe/Serie | Foundations and Trends® in Systems and Control |
Verlagsort | Hanover |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 297 g |
Themenwelt | Technik ► Elektrotechnik / Energietechnik |
ISBN-10 | 1-63828-298-6 / 1638282986 |
ISBN-13 | 978-1-63828-298-3 / 9781638282983 |
Zustand | Neuware |
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