Paper Info
Title
Decentralized Integral Controllability Analysis Based on a New Unconditional Stability Criterion
Abstract
Decentralized integral control is one of the most popular control strategies used in practice. An important issue associated with this strategy is the analysis of Decentralized Integral Controllability (DIC). Campo and Morari showed that for a given process, if its steady state gain matrix is not critically D-stable, its DIC can be determined by using its steady state gain matrix. This technical note investigates decentralized integral control with a special focus on the DIC analysis of processes whose steady state gain matrices are critically D-stable. First, we introduce a new unconditional stability criterion. Then, by using the proposed criterion, it is proved that for up to four-channel processes, their DIC can be totally determined by their steady state gain matrices. We also present a multi-loop PI control design method, which provides an explicit lower bound of the proportional coefficient to achieve decentralized unconditional stability for low dimensional processes. For higher dimensional processes, this technical note presents a six-channel process whose DIC property cannot be determined only by its steady state gain matrix, contradicting the view of some other researchers.
Year
DOI
Venue
2015
10.1109/TAC.2014.2323166
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Stability criteria,Equations,Mathematical model,Steady-state,Closed loop systems,Process control
Stability criterion,Mathematical optimization,Technical note,Controllability,Upper and lower bounds,Matrix (mathematics),Control theory,Steady state,Mathematics
Journal
Volume
Issue
ISSN
60
1
0018-9286
Citations 
PageRank 
References 
1
0.37
9
Authors
5
Name
Order
Citations
PageRank
S. Su1234.87
Andrey V. Savkin21431178.60
Ying Guo38313.53
Branko G. Celler450281.99
Hung T. Nguyen537256.85