Steady-State Cascade Operators and their Role in Linear Control, Estimation, and Model Reduction Problems

Autor:	Simpson-Porco, John W., Astolfi, Daniele, Scarciotti, Giordano
Rok vydání:	2024
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	Certain linear matrix operators arise naturally in systems analysis and design problems involving cascade interconnections of linear time-invariant systems, including problems of stabilization, estimation, and model order reduction. We conduct here a comprehensive study of these operators and their relevant system-theoretic properties. The general theory is then leveraged to delineate both known and new design methodologies for control, estimation, and model reduction. Several entirely new designs arise from this systematic categorization, including new recursive and low-gain design frameworks for observation of cascaded systems. The benefits of the results beyond the linear time-invariant setting are demonstrated through preliminary extensions for nonlinear systems, with an outlook towards the development of a similarly comprehensive nonlinear theory. Comment: 16 pages, 5 figures, submitted for publication
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.07568 Zobrazit plný text záznamu View this record from Arxiv