Topic
Closed-loop pole
About: Closed-loop pole is a research topic. Over the lifetime, 886 publications have been published within this topic receiving 13621 citations.
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13 Dec 1995
TL;DR: In this paper, the authors incorporate placement of one real closed loop pole into an l/sub 1/ controller design problem, that of designing a stabilising feedback compensator to minimise the tracking error when following a specified bounded command in a SISO discrete-time system.
Abstract: In this paper we incorporate placement of one real closed loop pole into an l/sub 1/ controller design problem-that of designing a stabilising feedback compensator to minimise the l/sub 1/ norm of the tracking error when following a specified bounded command in a SISO discrete-time system. It is well known that the optimal solution to this problem involves a deadbeat closed loop map of finite, but possibly very high order, from command to tracking error. We show that for a class of plants, if the controller order is to be less than that required for the l/sub 1/-optimal solution, it is better to use closed loop pole locations other than deadbeat.
TL;DR: In this paper, a pole zero diagram is proposed to indicate the locations of additional poles and zeros required to correct the Aβ characteristics of a low frequency feedback amplifier with 27db. feedback and 45 db.
Abstract: 1. If the feedback amplifier's circuit configuration allows its return ratio—Aβ to be expressed in factored form, the inherent poles and zeros contributing to its transmission characteristics are easily seen and could be employed for constructing a pole zero diagram. Such a diagram would indicate at once though not precisely, the locations of additional poles and zeros required to correct the Aβ characteristics in a desired manner. Further, if the correcting network's performance is also expressed in terms of their poles and zeros, then all that is required is to introduce the correcting networks having poles and zeros corresponding to the desired ones.2. The above method has been adopted for the design of a low frequency feedback amplifier with 27db. feedback and 45 db. of closed loop gain. Transfer ratios (current/voltage, etc.) of simple compensating networks have also been derived in terms of poles and zeros and network element values. These could readily be employed for the design of correcti...
01 Sep 1961
TL;DR: It is shown that the pulse sequence of discrete periodic signals, which result in a finite-settling-time response when applied to the input of a system, can be determined directly from the system transient response.
Abstract: Sampled-data systems are characterized by the presence of discrete signals at some point of the system, but the overall output is usually a continuous function of time. It is shown that the pulse sequence of discrete periodic signals, which result in a finite-settling-time response when applied to the input of a system, can be determined directly from the system transient response. Such a pulse sequence can be used to design a discrete controller to compensate the system, when its transfer function is not known. Further, it is shown that the transfer function of a system can be found once an input pulse sequence has been determined, with an accuracy limited only by the accuracy of the given transient response.
01 Dec 1983
TL;DR: In this paper, the authors considered the problem of estimating the transfer function of a linear, stochastic system, where no given order is chosen a priori, and the consistency and convergence properties of the resulting transfer function estimates were investigated.
Abstract: The problem of estimating the transfer function of a linear, stochastic system is considered. The transfer function is parametrized as a black box and no given order is chosen a priori. This means that the model orders may increase to infinity when the number of observed data tends to infinity. The consistency and convergence properties of the resulting transfer function estimates are investigated. Asymptotic expressions for the variances and distributions of these estimates are also derived for the case that the model orders increase. It is shown that the variance of the transfer function estimate at a certain frequency is asymptotically given by the noise-to-signal-ratio at that frequency multiplied by the number-of-estimatedparameters to number-of-data-points-ratio. This result is essentially independent of the model structure used.
14 Aug 1989
TL;DR: In this article, a method that uses the asymptotic characteristics of the algebraic Riccati equation to solve the loop-shaping problem using only the original number of states is proposed.
Abstract: The loop transfer recovery method of J.C. Doyle and G. Stein (1978, 1979) has been adapted to achieve a prescribed closed-loop transfer function rather than loop recovery. One problem associated with this method is a doubling of the number of states. A method that uses the asymptotic characteristics of the algebraic Riccati equation to solve the loop-shaping problem using only the original number of states is proposed. An example using a four-state plant is presented to illustrate the method and to compare it to the original loop-shaping technique. >