Structure of control of unstable object, which provide minimum of the integral of aquare of control

Аuthors

Stepaniants G. A.

e-mail: kaf301@mai.ru

Abstract

This article considers control of unstable linear object. The control algorithm provides the minimum of the integral of square of control signal. It is shown, that such algorithm is symmetrically moving the characteristic values by right to left of complex plane. The characteristic values, which were in left half of complex plane dont change its positions. The proof and example are presented.

Keywords:

the unstable object, spectrum of the linear operator, the optimal controlling, the integral of square of control signal, the symmetrical transformation