Abstract
This paper develops a turn over method for distributed parameter systems that have infinite number of eigenvalues and can be stabilized by an eigen-function expansion technique. The technique has both desirable properties of a pole assignment and an optimal control law. The poles of the closed loop system which is controlled by the former law can be derived for distributed parameter systems and we can easily obtain the feedback gain without solving the infinite dimensional Riccati type differential equation. From the latter law, the obtained gain is of finite dimensional, but the optimal feedback minimizes a quadratic criterion for distributed parameter systems. The closed loop system obtained by the proposed turn over method can be interpreted as an LQ regulated system.
As result, the turn over method has both good properties of the two control laws and can shift only assigned open poles to desirable positions avoiding a difficult selection of a weight for an LQ regulator, and it gives a low sensitivity and a large stability margin to the closed loop system as well.
