A new unconditional stability criterion and its application on decentralized integral controllability analysis

Su, SW; Savkin, A; Celler, BG; Nguyen, HT

A new unconditional stability criterion and its application on decentralized integral controllability analysis

Su, SW

Savkin, A Celler, BG Nguyen, HT

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Publication Type:: Conference Proceeding
Citation:: Chinese Control Conference, CCC, 2013, pp. 119 - 122
Issue Date:: 2013-10-18

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Field	Value	Language
dc.contributor.author	Su, SW https://orcid.org/0000-0002-5720-8852	en_US
dc.contributor.author	Savkin, A	en_US
dc.contributor.author	Celler, BG	en_US
dc.contributor.author	Nguyen, HT https://orcid.org/0000-0003-3373-8178	en_US
dc.date.issued	2013-10-18	en_US
dc.identifier.citation	Chinese Control Conference, CCC, 2013, pp. 119 - 122	en_US
dc.identifier.isbn	9789881563835	en_US
dc.identifier.issn	1934-1768	en_US
dc.identifier.uri	http://hdl.handle.net/10453/27266
dc.description.abstract	Decentralized integral control, such as multi-loop PI/PID 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 process, if its steady state gain matrix is not critically D-stable, its DIC can be determined by using its steady state gain matrix only. This paper investigates decentralized integral control with a special focus on the DIC analysis of processes whose steady state gain matrices are critically D-stable. Firstly, this paper proposes a new unconditional stability criterion by using singular perturbation theory and eigenvalue sensitivity analysis, and shows that DIC analysis of such processes can be simplified by using unconditional stability analysis. Then, we presented a multi-loop PI control design method, which gives an explicit low bound of the proportional coefficient to achieve decentralized unconditional stability for 3 × 3 processes. © 2013 TCCT, CAA.	en_US
dc.relation.ispartof	Chinese Control Conference, CCC	en_US
dc.title	A new unconditional stability criterion and its application on decentralized integral controllability analysis	en_US
dc.type	Conference Proceeding
utslib.for	090602 Control Systems, Robotics and Automation	en_US
dc.location.activity	Xi'an, China	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US

Abstract:

Decentralized integral control, such as multi-loop PI/PID 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 process, if its steady state gain matrix is not critically D-stable, its DIC can be determined by using its steady state gain matrix only. This paper investigates decentralized integral control with a special focus on the DIC analysis of processes whose steady state gain matrices are critically D-stable. Firstly, this paper proposes a new unconditional stability criterion by using singular perturbation theory and eigenvalue sensitivity analysis, and shows that DIC analysis of such processes can be simplified by using unconditional stability analysis. Then, we presented a multi-loop PI control design method, which gives an explicit low bound of the proportional coefficient to achieve decentralized unconditional stability for 3 × 3 processes. © 2013 TCCT, CAA.

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http://hdl.handle.net/10453/27266