Computation of the Peak of Time Response in the Form of Formal Power Series(Systems and Control)

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概要

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• Suppose that we need to design a controller for the system x'(t) = Ax(t) +Bu, u = -Kx(t), y(t) = Cx(t), where matrices A,B and C are given and K is the matrix to to determine. It is required to determine K so that y(t) should not exceed prescribed value (i.e., the peak of output y(t) is limited). This kind of specification, in general, difficult to satisfy, since the peak y_<max> of y(t) (we define y_<max> to be max_<0≤t> |y(t)|) is a non-trivial function of design parameter K, which can not be expressed explicitly generally. Therefore, a controller design with such specifications often requires try and error process. In this paper, we approximate y_<max> in the form of formal power series and give an efficient algorithm to compute the series. We also give a design example of a control system as an application of the algorithm.

• 一般社団法人電子情報通信学会の論文
• 2003-12-01

著者

• KITAMOTO Takuya

  Faculty of Education, Yamaguchi University

• Kitamoto Takuya

  Faculty Of Education Yamaguchi University

関連論文

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• On the Check of Accuracy of the Coefficients of Formal Power Series
• The Optimal H_∞ Norm of a Parametric System Achievable Using a Static Feedback Controller(Systems and Control)
• Extension of the Algorithm to Compute H_∞ Norm of a Parametric System
• Efficient Computation of the Characteristic Polynomial of a Polynomial Matrix
• On Efficient Computations of Approximate Roots
• Accurate Computation of a High Degree Coefficient of a Power Series Root(Algorithms and Data Structures)
• On Computation of Approximate Eigenvalues and Eigenvectors
• On Computation of a Power Series Root with Arbitrary Degree of Convergence
• Computation of the Peak of Time Response in the Form of Formal Power Series(Systems and Control)

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