Title
Deterministic Polynomial-Time Actuator Scheduling With Guaranteed Performance
Abstract
In this paper, the problem of time-varying actuator selection for linear dynamical systems is investigated. By leveraging recent advances in the graph sparsification literature, we develop a framework for designing a sparse actuator schedule for a given large-scale linear system with guaranteed performance bounds using a polynomial-time algorithm. Current approaches based on polynomial time relaxations of the subset selection problem require an extra multiplicative factor of log n sensors/actuators times the minimal number in order to just maintain controllability/observability. In contrast, we show that there exists a polynomial-time actuator schedule that on average selects only a constant number of actuators at each time, to approximate the controllability/observability metrics of the system when all actuators/sensors are in use.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550198
2018 European Control Conference (ECC)
Keywords
Field
DocType
sparse actuator schedule,large-scale linear system,polynomial-time algorithm,polynomial time relaxations,subset selection problem,deterministic polynomial-time actuator scheduling,time-varying actuator selection,linear dynamical systems,graph sparsification literature,multiplicative factor,sensors,controllability-observability
Linear dynamical system,Approximation algorithm,Mathematical optimization,Observability,Linear system,Controllability,Computer science,Schedule,Time complexity,Sparse matrix
Conference
ISBN
Citations 
PageRank 
978-1-5386-5303-6
1
0.35
References 
Authors
15
2
Name
Order
Citations
PageRank
Milad Siami112215.65
Ali Jadbabaie24806581.69