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.
This paper proposes an H", deconvolution filter design, based on Riccati equations, for linear time-varying uncertain systems. The proposed filter, which is to estimate the unknown input, is derived by using a basic linear-quadratic game approach. The proposed method is useful for the case that does not require statistical information about disturbances. A numerical example is given to demonstrate the performance of the proposed filter.
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