Abstract
In this paper, a method of constructing a linear state feedback law for a linear control system is proposed. This method yields a state feedback law by which all poles of the closed loop system are located in such area that is desired for the good response of the closed loop system as well as for its stability. The advantage of this method lies in its easiness in calculating a feedback gain. It is only necessary to solve a nonlinear algebraic matrix equation for once. When the eigenvalues of an original system matrix are known, it is readily possible to locate the poles of the closed loop system by this method without calculating eigenvalues of the closed loop system matrix. Therefore no iteration is required before one gets a satisfactory result, whereas a usual optimal regulator problem needs iterations to locate the poles of the closed loop system in the desired area. This method is also especially powerful for a high dimensional system to which the pole assignment method is too complicated to apply.
