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An Approach to Synthesis of Multivariable PID Controllers for a Class of Nonlinear Systems and Its Application

発表形態:
一般講演(学術講演を含む)
主要業績:
主要業績
単著・共著:
共著
発表年月:
2011年09月
DOI:
会議属性:
国際会議(国内開催を含む)
査読:
リンク情報:

日本語フィールド

著者:
Yoshitaka Matsuda, Satoru Goto and Nagato Ohse
題名:
An Approach to Synthesis of Multivariable PID Controllers for a Class of Nonlinear Systems and Its Application
発表情報:
18th IFAC World Congress 2011
キーワード:
PID controllers, Time-domain method, Descriptor systems, Saturation control
概要:
抄録:
This paper considers a synthesis of multivariable proportional-integral-derivative (PID) controllers for a class of nonlinear systems. First, mathematical models of plant with a class of nonlinearities and PID controller with saturation nonlinearity are given. Then, the closed-loop system is described by a descriptor form. Secondly, an analysis condition for descriptor systems with sector-bounded nonlinearity is introduced. Based upon the condition and a representation for the nonlinearities in the control system, the synthesis problem is formulated as a bilinear matrix inequality one. The matrix inequality problem is solved by an iterative linear matrix inequality algorithm to synthesize a PID controller so as to minimize the L2-gain and expand the region of sector. Finally, to verify the effectiveness, the synthesis method is applied to the synthesis of PID controller for a ball-on-wheel system with input saturation.

英語フィールド

Author:
Yoshitaka Matsuda, Satoru Goto and Nagato Ohse
Title:
An Approach to Synthesis of Multivariable PID Controllers for a Class of Nonlinear Systems and Its Application
Announcement information:
18th IFAC World Congress 2011
Keyword:
PID controllers, Time-domain method, Descriptor systems, Saturation control
An abstract:
This paper considers a synthesis of multivariable proportional-integral-derivative (PID) controllers for a class of nonlinear systems. First, mathematical models of plant with a class of nonlinearities and PID controller with saturation nonlinearity are given. Then, the closed-loop system is described by a descriptor form. Secondly, an analysis condition for descriptor systems with sector-bounded nonlinearity is introduced. Based upon the condition and a representation for the nonlinearities in the control system, the synthesis problem is formulated as a bilinear matrix inequality one. The matrix inequality problem is solved by an iterative linear matrix inequality algorithm to synthesize a PID controller so as to minimize the L2-gain and expand the region of sector. Finally, to verify the effectiveness, the synthesis method is applied to the synthesis of PID controller for a ball-on-wheel system with input saturation.


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