On the design of multivariable PID controllers via LMI approach

In this paper, we study the design problem of multivariable PID controllers which guarantee the stability of the closed loop systems, H 2 or H ∞ performance specifications, or maximum output control requirement, respectively. Algorithms based on iterative linear matrix inequality technique are devel...

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Bibliographic Details
Published in:Automatica (Oxford) 2002-03, Vol.38 (3), p.517-526
Main Authors: Zheng, Feng, Wang, Qing-Guo, Lee, Tong Heng
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
H2 control
H∞ control
Maximum output control
PID control
Stabilization
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Summary:In this paper, we study the design problem of multivariable PID controllers which guarantee the stability of the closed loop systems, H 2 or H ∞ performance specifications, or maximum output control requirement, respectively. Algorithms based on iterative linear matrix inequality technique are developed to find the feedback gains of PID controllers corresponding to the above mentioned four cases. A numerical example on the design of PID controllers for aircraft is provided to illustrate the effectiveness of the proposed method.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(01)00237-0