Optimization of Steady State Responses in Servosystems

Abstract

In many years, large amount of researchers in control engineering community have been attracted by so-called servomechanism problem, such as robust servoproblem, optimal servoproblem. For nonsquare plant such that the number of inputs of plant is than that of outputs, the nonuniqueness of the steady-state responses in servosystems has been discussed.
In this paper, by using such nonuniqueness, we consider the optimization problem of the steady-state responses of inputs and states. A theoretical framework different from the conventional studies is that the criterion to be optimized is the quadratic form with respect to the amplitude of steady-state inputs and states.