A new approach for transient response control via characteristic ratio assignment method

Abstract

This paper proposes a new direct approach to control the transient response of a LTI system. The characteristic of a repeated-pole system is first studied. It can be shown that the step response of this kind of system has no overshoot. µ-scaled characteristic ratios, β i = µα i , i =1, n, and τ are introduced, where α i is the principal characteristic ratio and τ is the generalized time constant. It is shown that two parameters, µ and τ, are used to successfully control the overshoot and the transient time of all minimum phase LTI systems. The result shows that the proposed method is comparable to the method proposed by Bhattacharyya [1], but more luminous and simple in approach.

Robust Tuning of Multiresonant Current Controllers for Grid-Tied Converters and Erroneous Use of the Naslin Polynomial Method

“…are the characteristic pulsatances and the characteristic ratios. More on the characteristic ratios and the characteristic pulsatances can be found in [17]- [19]. The basic original method then gives all the characteristic ratios a common value α, which possesses the value of a genuine damping factor (α = 4ζ 2 ) in the second order system.…”

A generalized PID controller for high-order dynamical systems

“…There are few generalized PID controllers for higherorder dynamical systems. An efficient generalized PID controller is known as coefficient diagram method (CDM) [20][21][22]. It is based on the characteristic ratio assignment [23], [24] and provides a good control performance under systems having parametric uncertainties [25][26][27].…”