Analysis and Synthesis of Dynamic Systems with Positive Characteristics
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Beschreibung
This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.
This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.
Nominated by the University of Hong Kong as an outstanding thesis in the field Presents precise characterizations for gain performances of positive systems Offers effective numerical methods for positive system synthesis Includes supplementary material: sn.pub/extras
Autor*in
Jun Shen
Themen in »Analysis and Synthesis of Dynamic Systems with Positive Characteristics«
Positive Systems with Delays Optimal Control of Positive Systems Monotone Systems Containment Control Networked Multi-agent Systems