Showing papers on "Closed-loop pole published in 1973"
TL;DR: In this article, the sensitivity specification is formulated in terms of bounds on the acceptable value of the loop transfer function L(s=σ+jω) on the imaginary axis jω, for each ω.
Abstract: In the single-loop, linear, time-invariant feedback control system with parameter ignorance and/or unwanted disturbances, the sensitivity specification may be formulated in terms of bounds on the acceptable value of the loop transfer function L(s=σ+jω) on the imaginary axis jω, for each ω. Due to the ever-present noise in the feedback return path, it is highly important to satisfy these bounds with an L(jω) whose magnitude is as small as possible at large id. Such an optimum exists, is unique and lies on the associated boundary at each value of ω
89 citations
TL;DR: In this paper, it was shown that p closed loop poles of a linear time invariant multivariable system can be assigned arbitrarily using constant gain output feedback provided (A circumflex, B circumflex) is controllable and observable.
Abstract: Given a linear time invariant multivariable system with m inputs and p outputs, it was shown that p closed loop poles of the system can be preassigned arbitrarily using constant gain output feedback provided (A circumflex, B circumflex) is controllable. These data show that if (A circumflex, B circumflex, C circumflex) is controllable and observable, and Rank B circumflex = m, Rank C circumflex = p, then max (m,p) poles of the system can be assigned arbitarily using constant gain output feedback. Further, it is shown that in some cases more than max (m,p) poles can be arbitrarily assigned. A least square design technique is outlined to approximate the desired pole locations when it is not possible to place all the poles.
49 citations
TL;DR: An algorithm, based on recent papers by Davison and Chatterjee, is given which allows pole assignment to be carried out on large linear time-invariant multivariable systems with output feedback.
Abstract: An algorithm, based on recent papers by Davison and Chatterjee [1], [2], is given which allows pole assignment to be carried out on large linear time-invariant multivariable systems with output feedback. A numerical example of 41st order is given to demonstrate the feasibility of the algorithm.
36 citations
TL;DR: In this paper, a procedure is described which enables specified poles and zeros of a transfer function of a linear system to be obtained by using proportional state feedback to two inputs in a restricted class of problem.
Abstract: A procedure is described which enables specified poles and zeros of a transfer function of a linear system to be obtained by using proportional state feedback to two inputs in a restricted class of problem.
9 citations
1 Apr 1973
TL;DR: In this paper, the authors present a systematic procedure for designing optimal feedback control systems with the poles restricted either to the left of the line Re(s) =−α or in a cone tan−1{Im(s)/Re(s)} =±θ.
Abstract: The paper presents a systematic procedure for designing optimal feedback control systems with the poles restricted either to the left of the line Re(s) =−α or in a cone tan−1{Im(s)/Re(s)} =±θ. Simple transformations of the complex variable s are utilised to find a characteristic polynomial for the desired closed-loop system. It is then shown that this polynomial can be used with the frequency-domain optimality condition and the observability condition to find a proper quadratic index. It is also shown that it may be necessary to include a product of the control variable and the state variable in the quadratic index so that arbitrary pole placement may be possible.
6 citations
TL;DR: In this article, the density-density correlation function of He II bounded by solid walls is calculated in the hydrodynamic region and the migration of its poles as a function of the resistance parameter is investigated, and it is found that the fourth sound pole can only be related to the first sound pole far enough from the critical temperature.
Abstract: The density-density correlation function of He II bounded by solid walls is calculated in the hydrodynamic region. The migration of its poles as a function of the resistance parameter is investigated, and it is found that the fourth-sound pole can only be related to the first-sound pole far enough (ϱs0/ϱ0>1/9) from the critical temperature. Otherwise, it arises from a mixture of the first- and second-sound poles. The contributions of poles to the sum rules are also discussed.
5 citations
TL;DR: In this article, an active RC circuit based on the technique of combining the output of a three-terminal network with a fraction of its input in a differential amplifier is presented for realizing a non-minimum-phase voltage transfer function of arbitrary order with simple negative real poles.
Abstract: An active RC circuit, based on the technique of combining the output of a three-terminal network with a fraction of its input in a differential amplifier is presented for realizing a non-minimum-phase voltage transfer function of arbitrary order with simple negative real poles. Procedures for synthesizing such a transfer function arc presented with a few examples and the comparative merits of the circuit are discussed.
2 citations
TL;DR: In this paper, the differential property of the network's main operational amplifier is utilized to introduce new terms in the numerator of the transfer function without affecting the denominator sensitivity, which can be used to realize a low-pass non-minimnm-phage delay function and a high-pass filter.
Abstract: The transfer function zeros of certain low-sensitivity multi-loop negative feedback active networks are restricted to the left half of the S plane. A technique is described here which eliminates this restriction without affecting the low-sensitivity of the poles. The differential property of the network's main operational amplifier is utilized to introduce new terms in the numerator of the transfer function without affecting the denominator sensitivity. Networks capable of realizing second and third-order functions are derived. Some of the resulting networks were used to realize a low-pass non-minimnm-phage delay function and a high-pass filter and experimental results are included.
1 citations
TL;DR: The method was developed to provide a numerical solution of the time response of a linear biological system from its transfer function and has been found to give an accurate solution for roots differing by only 1.6666 × 10−3 % so that even nearly equal roots can be accommodated.
TL;DR: In this article, a method for synthesis of active R-C transfer functions using a single-ended operational amplifier is described, where the transfer function may have any difference of degree between its numerator and denominator polynomial.
Abstract: A method for synthesis of active R—C transfer functions using a single ended operational amplifier is described. The transfer function may have any difference of degree between its numerator and denominator polynomial. Poles and zeroes of the transfer function may be anywhere on the complex plane excepting the positive real axis. Examples are given to illustrate the synthesis procedure
1 Jan 1973
TL;DR: In this article, the authors consider the problem of defining the possible range of transient performance of a class of third-order unity feedback systems resulting when the open-loop parameters are allowed to vary.
Abstract: When designing a unit.y feedback control system with a third-order linear transfer function G(s) in the forward path, it is very convenient to know esact,ly how a change in any system paramet,er will aflect the resulting closed-loop transient. response without actnally evaluating the system step response. This note considers the problem of defining the possible range of t,ransient performance of a class of third-order unity feedback systems resulting when the open-loop parameters are allowed to vary. Third-order linear syst.ems whose transfer function is described by