Abstract
In this paper, some considerations about improvement of transient characteristics of control systems with proportional and integral terms of output errors are described. Those are done as follows. That is, the control systems mentioned above are reduced to gain output feedback control systems by introduction of augmented systems. And reductions of overshoots or maximum/minimum peaks for changes of set points are considered from the viewpoint of eigenvalues assignment.
For a controllable and observable multi-input system with n states, m inputs and l outputs, if n≤m+l-1, then almost arbitrary sets of closed-loop eigenvalues are assignable by using output feedback. Then, in general, some degrees of freedom remain in gain matrices after the eigenvalues have been assigned. Therefore, transient characteristics may be improved by making use of these degrees of freedom.
In this paper, this improvement method is described and its effectiveness is shown by the numerical example.
