Paper Info
Title
Stabilization with a Specified External Gain for Linear MIMO Systems and Its Applications to Control of Networked Systems.
Abstract
This paper studies a stabilization problem for linear MIMO systems subject to external perturbation that further requires the closed-loop system render a specified gain from the external perturbation to the output. The problem arises from control of networked systems, in particular, robust output synchronization of heterogeneous linear MIMO multi-agent systems via output feedback/communication. We propose a new approach that converts a class of MIMO systems into a normal form via repeated singular value decomposition and prove that a stabilization controller with a specified external gain can be explicitly constructed for the normal form.Two scenarios with static state feedback and dynamic output feedback are investigated. By integrating the reference model and internal model techniques, the robust output synchronization problem for MIMO multi-agent systems is converted into a stabilization problem with a specified externalgain and solved by the developed approach.
Year
Venue
Field
2018
arXiv: Systems and Control
Singular value decomposition,Control theory,Synchronization,Reference model,Control theory,MIMO,A-normal form,Mathematics,Perturbation (astronomy),Internal model
DocType
Volume
Citations 
Journal
abs/1806.05472
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Lijun Zhu112.76
Zhiyong Chen216419.68
Xi Chen3161.63
D. J. Hill456562.45