H_∞ノルムの一指定法

抄録

This report considers a computation method for solving the problem of H_∞ norm assignment by state feedback in linear time invariant system. We have already proposed an assignment method of H_∞ norm by state feedback for multi input linear time invariant systems in which external input matrix is equal to control input matrix. and for single input linear time invariant systems in which external input matrix is not always equal to control input matrix. In this report we treat the multi input linear time invariant systems in which external input matrix is not always equal to control input matrix. H_∞ norm assignment by state feedback is considered as the inverse of H_∞ norm computation. If it is given state matrix, input matrix, output matrix and direct transfer matrix, then H_∞ norm can be computed. Inversely, if it is given input matrix, output matrix, direct transfer matrix, and H_∞ norm, then state feedback gain which gives state matrix for closed loop system having assigned H_∞ norm can be computed recursively. Finally, state feedback gain which assign H_∞ norm for the numerical example of the system are computed and validated.