کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4598898 | 1631110 | 2015 | 21 صفحه PDF | دانلود رایگان |

In this paper we present a new formulation of the augmented basic interpolation problem (aBIP) with rational matrices, in terms of the stability of four rational matrices, so that the aBIP transforms into a purely linear-algebraic problem. Actually, the existing interpolation condition, given by an integral, is replaced by stability of a rational matrix.The new condition is applied to the H∞H∞ optimal control of one-block plants having imaginary axis invariant zeros. A new parameter in the parametrization of H∞H∞ optimal controllers is revealed, which is given in terms of the derivative of the closed-loop system at the imaginary axis invariant zeros of the plant. The H∞H∞ optimal control algorithm is illustrated by an example, and compared to the existing algorithms.
Journal: Linear Algebra and its Applications - Volume 485, 15 November 2015, Pages 103–123