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 OhseTitle：An Approach to Synthesis of Multivariable PID Controllers for a Class of Nonlinear Systems and Its ApplicationAnnouncement information:18th IFAC World Congress 2011Keyword：PID controllers, Time-domain method, Descriptor systems, Saturation controlAn 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.