Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance

Softcover Nachdruck of the Original 1. 2017 Auflage 2018
ISBN: 978-981-10-9566-5
Verlag: Springer Nature Singapore

Buch, Englisch, 116 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 2175 g

Reihe: Springer Theses

This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems.

It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control. 

Zielgruppe

Research

Autoren/Hrsg.

Chen, Xiaoming

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Mathematik | Informatik EDV | Informatik Technische Informatik Hardware: Grundlagen und Allgemeines
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik

Inhaltsverzeichnis

Introduction.- l1-induced Controller Design for Positive Systems.- L1-induced Output-Feedback Controller Synthesis for Interval Positive Systems.- Positive State-Bounding Observer for Interval Positive Systems.- Positive Filtering for Positive Systems under L1 Performance.- Controller and Filter Syntheses for Positive Takagi-Sugeno Fuzzy Systems under l1 Performance.- Conclusions and Future Work.