Title
Randomized Algorithms for Data-Driven Stabilization of Stochastic Linear Systems
Abstract
Data-driven control strategies for dynamical systems with unknown parameters are popular in theory and applications. An essential problem is to prevent stochastic linear systems becoming destabilized, due to the uncertainty of the decision-maker about the dynamical parameter. Two randomized algorithms are proposed for this problem, but the performance is not sufficiently investigated. Further, the effect of key parameters of the algorithms such as the magnitude and the frequency of applying the randomizations is not currently available. This work studies the stabilization speed and the failure probability of data-driven procedures. We provide numerical analyses for the performance of two methods: stochastic feedback, and stochastic parameter. The presented results imply that as long as the number of statistically independent randomizations is not too small, fast stabilization is guaranteed.
Year
DOI
Venue
2019
10.1109/DSW.2019.8755578
2019 IEEE Data Science Workshop (DSW)
Keywords
Field
DocType
randomized algorithms,fast stabilization,stochastic feedback,stochastic parameter,unstable dynamics
Magnitude (mathematics),Randomized algorithm,Mathematical optimization,Data-driven,Linear system,Control theory,Dynamical systems theory,Mathematics,Independence (probability theory)
Journal
Volume
ISBN
Citations 
abs/1905.06978
978-1-7281-0709-7
0
PageRank 
References 
Authors
0.34
2
3
Name
Order
Citations
PageRank
Mohamad Kazem Shirani Faradonbeh1245.96
Ambuj Tewari273.11
George Michailidis373.45