2012/09/15 by Anurag Rai, Rai, Anurag, Sean Warnick +1
Engineering · Mathematics · #Advanced Control Systems Optimization #Artificial intelligence #Closed loop #Computer science #Control (management) #Control Systems and Identification #Control and Stability of Dynamical Systems #Control engineering #Control theory (sociology) #Controller (irrigation) #Engineering #FOS: Mathematics #Invariant (physics) #Mathematics #Open-loop controller #Optimization and Control (math.OC) #Representation (politics) #SIGNAL (programming language) #Stability and Control of Uncertain Systems #Transfer function #math.OC
paper · pdf · doi:10.48550/arxiv.1209.3432
published in arXiv (Cornell University) (Cornell University)
arxiv created 2012/09/15 · openalex publication_date 2012/09/15 · arxiv updated 2012/09/18 · openalex created_date 2022/10/02 · openalex updated_date 2026/08/06
This paper presents a new approach to distributed controller design that\nexploits a partial-structure representation of linear time invariant systems to\ncharacterize the structure of a system. This partial-structure representation,\ncalled the dynamical structure function, characterizes the em signal\nstructure, or open-loop causal dependencies among manifest variables,\ncapturing a significantly richer notion of structure than the sparsity pattern\nof the transfer function. The design technique sequentially constructs each\nlink in an arbitrary controller signal structure, and the main result proves\nthat the resulting controller is either stabilizing or no controller with the\ndesired structure can stabilize the system.\n