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On the design of multivariable PID controllers via LMI approach
Authors:Feng ZhengQing-Guo Wang  Tong Heng Lee
Affiliation:Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
Abstract:In this paper, we study the design problem of multivariable PID controllers which guarantee the stability of the closed loop systems, H2 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.
Keywords:PID control  Stabilization  H2 control  H&infin   control  Maximum output control
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