内容简介：　　

　 Singular systems have been widely studied in the past two decades due to their extensive applications in modelling and control of electrical circuits, power systems, economics and other areas. Interest has grown recently in the stability analysis and control of singular systems with parameter uncertainties due to their frequent presence in dynamic systems, which is much more complicated than that of state-space systems because controllers must be designed so that the closed-loop system is not only robustly stable, but also regular and impulse-free (in the continuous case) or causal (in the discrete case), while the latter two issues do not arise in the state-space case. This monograph aims to present up-to-date research developments and references on robust control and filtering of uncertain singular systems in a unified matrix inequality setting. It provides a coherent approach to studying control and filtering problems as extensions of state-space systems without the commonly used slow-fast decomposition. It contains valuable reference material for researchers wishing to explore the area of singular systems, and its contents are also suitable for a one-semester graduate course.


英文目录：
Front Matter
1 Introduction and Preview
　　1.1 Introduction
　　1.2 Overview of Robust Control and Filtering of Singular System
　　1.3 Preview of Chapters
2 Stability
　　2.1 Introduction
　　2.2 Stability of Continuous Systems
　　2.3 Stability of Discrete Systems
　　2.4 Conclusion
3 Stabilization
　　3.1 Introduction
　　3.2 Continuous Systems
　　　　3.2.1 State Feedback Control
　　　　3.2.2 Output Feedback Control
　　3.3 Discrete Systems
　　3.4 Conclusion
4 RobustControl
　　4.1 Introduction
　　4.2 Robust Stability
　　　　4.2.1 Continuous Systems
　　　　4.2.2 Discrete Systems
　　4.3 Robust Stabilization
　　　　4.3.1 Continuous Systems
　　　　4.3.2 Discrete Systems
　　4.4 Conclusion
5 H∞ Control
　　5.1 Introduction
　　5.2 Continuous Systems
　　　　5.2.1 State Feedback Control
　　　　5.2.2 Output Feedback Control
　　5.3 Discrete Systems
　　5.4 Robust H∞ Control
　　　　5.4.1 Continuous Systems
　　　　5.4.2 Discrete Systems
　　5.5 Conclusion
6 Guaranteed Cost Control
　　6.1 Introduction
　　6.2 Continuous Systems
　　6.3 Discrete Systems
　　6.4 Conclusion
7 Positive Real Control
　　7.1 Introduction
　　7.2 Continuous Systems
　　7.3 Discrete Systems
　　7.4 Conclusion
8 H Filtering
　　8.1 Introduction
　　8.2 Full-Order Filtering
　　8.3 Reduced-Order Filtering
　　　　8.3.1 Continuous Systems
　　　　8.3.2 Discrete Systems
　　8.4 Conclusion
9 Delay Systems
　　9.1 Introduction
　　9.2 Stability
　　　　9.2.1 Continuous Case
　　　　9.2.2 Discrete Case
　　9.3 State Feedback Control
　　　　9.3.1 Continuous Case
　　　　9.3.2 Discrete Case
　　9.4 H∞ Control of Continuous Delay Systems
　　9.5 H∞ Filtering of Continuous Delay Systems
　　9.6 Conclusion
10 Markovian Jump Systems
　　10.1 Introduction
　　10.2 Stability
　　　　10.2.1 Continuous Case
　　　　10.2.2 Discrete Case
　　10.3 Guaranteed Cost Control
　　10.4 H∞Control
　　10.5 Conclusion
A List of Symbols and Acronyms
References
Index