Showing papers on "Closed-loop pole published in 1976"
TL;DR: In this paper, a frequency simplification technique for simplifying a transfer function of higher dimension to a lower dimension is presented, which aims at minimizing the error in the phase of two transfer functions together with magnitude and simplifying the complexity of work in solving for the unknown coefficient of the assumed simplified transfer function.
Abstract: This paper presents a frequency simplification technique for simplifying a transfer function of higher dimension to a transfer function of lower dimension. It tries to match the frequency response of the two transfer functions in the best possible manner in the frequency range of interest. It compares this method with the existing methods by means of a numerical example. The advantages of this method is that it aims at minimizing the error in the phase of two transfer functions together with magnitude and simplifies the complexity of work in solving for the unknown coefficient of the assumed simplified transfer function.
32 citations
TL;DR: In this paper, the problem of designing a static state feedback controller which matches a given multivariable system to a desired ideal system (model) is treated, and an algorithm is developed which separates the conditions which must be satisfied by the system under control and the model to be matched from the equations that must be solved to find the gains of the feedback controller.
Abstract: The problem of designing a static state feedback controller which matches a given multivariable system to a desired ideal system (model) is treated. The system under control is assumed in state space form while the model is assumed in transfer matrix form. An algorithm is developed which separates the conditions which must be satisfied by the system under control and the model to be matched from the equations which must be solved to find the gains of the feedback controller. Two examples are included.
30 citations
TL;DR: In this paper, the numerator polynomials of the Smith-McMillan form of a rational transfer function matrix are the same as the invariant factors of a map sI-A-t, with A t a map determined from the system state equations.
Abstract: A new proof is provided to show that the numerator polynomials of the Smith-McMillan form of a rational transfer function matrix are the same as the invariant factors of a map sI-A_{t} , with A t a map determined from the system state equations.
28 citations
TL;DR: In this article, a digital process of the impulse response of a linear system is used to identify the number of poles and zeros of the system by means of the resolution of a Mellin convolution equation.
Abstract: This proposed method of identification is particularly well, adapted to the study of linear systems whose transfer function has real simple poles. It also permits the identification of systems with real multiple poles as well as complex conjugate poles. No prior knowledge of the number of poles and of zeros is necessary. The identification is accomplished by means of a digital process of the impulse response of the system. This process corresponds to the resolution of a Mellin convolution equation.
12 citations
TL;DR: Higher order transfer functions are derived from the third order function of a special class of Chebyshev delay approximation by increasing the multiplicity of the pair of complex poles under the constraint that the passband delay distortion remains within any prescribed maximum value.
Abstract: A new class of all pole transfer functions of odd degree having the dominant pole Q factor of order of unity is described. Higher order transfer functions are derived from the third order function of a special class of Chebyshev delay approximation by increasing the multiplicity of the pair of complex poles under the constraint that the passband delay distortion remains within any prescribed maximum value. The specified delay distortion, acting as a free parameter, entails a tradeoff between the frequency and time domain characteristics of the resulting filters thus enabling a large variety of specifications to be met in practical design. These functions are primarily intended for pulse application but they can also be used advantageously in those instances where the magnitude response is of prime importance.
3 citations
1 Oct 1976
3 citations
TL;DR: In this article, the poles and zeros of the transfer function of a multi-input multi-output (MIMO) digital network were determined as eigenvalues of the state matrix.
Abstract: To compute the frequency response of a multi-input multi-output digital network, an efficient method is to calculate from a knowledge of the poles and zeros of its transfer function. While poles can be obtained as eigenvalues of the state matrix, a simple method is presented for determining the zeros, too, as eigenvalues of a matrix.
3 citations
TL;DR: In this article, a new canonical structure of an RC network with one operational amplifier with symmetrical output and one inverter, which can realize any voltage transfer function of degree n, is presented.
Abstract: A new canonical structure of an RC network containing one operational amplifier with symmetrical output and one inverter, which can realize any voltage transfer function of degree n, is presented. On the basis of the continuant's properties, simple expressions to obtain circuit parameters are given. The numerator and denominator of the transfer function are realized independently of each other. It is shown that the transfer function of degree n can be realized by the use of n identical capacitors, not more than 3n + 1 resistors and two active elements (operational amplifier and inverter). The second-order function realization is analysed. Assuming the factor Q and the resonant frequency sensitivity minimization, the values of passive elements arc obtained.
2 citations
TL;DR: In this paper, a matrix associated with the quadratic optimal linear regulator and containing, as elements, the performance-index matrices was used to derive sensitivity formulas for the closed-loop poles of the system.
Abstract: A matrix associated with the quadratic optimal linear regulator and containing, as elements, the performance-index matrices is used to derive sensitivity formulas for the closed-loop poles of the system. The dependence of these poles on the performance-index matrices is established for both continuous and discrete systems.
2 citations
1 Dec 1976
TL;DR: In this article, a structural basis for determining the available degree of flexibility in choosing coefficients of the closed-loop characteristic equation of an output feedback system is provided, and extensions are introduced to increase the lower bound on placeable poles and indicate under what conditions additional poles can be placed.
Abstract: Recent studies in pole placement have investigated the degree of flexibility available when feedback is constrained to constant gains on the output variables of a linear system. This paper uses pencil theory to provide a structural basis for determining the available degree of flexibility in choosing coefficients of the closed-loop characteristic equation of an output feedback system. Previous results are verified. Extensions are introduced to increase the lower bound on placeable poles and indicate under what conditions additional poles can be placed.
2 citations
TL;DR: In this paper, the poles and zeros of a matrix whose elements are in the field of rational functions are determined by a computational procedure for determining the pole and zero of the matrix.
Abstract: The letter is concerned with a computational procedure for determining the poles and zeros of a matrix whose elements are in the field of rational functions.
TL;DR: In this article, a relation between closed loop pole and zero locations is discussed, and the relation between zero locations and closed loop poles is analyzed in terms of the distance between the two locations.
Abstract: (1976). A relation between closed loop pole and zero locations. International Journal of Control: Vol. 24, No. 1, pp. 147-147.
TL;DR: In this article, a simple form of the magnitude-squared function for discrete systems is shown, which facilitates the determination of a transfer function from magnitude frequency response data by using an iterative algorithm for rational approximation.
Abstract: A simple form of the magnitude-squared function for discrete systems is shown, which facilitates the determination of a transfer function from magnitude frequency response data by using an iterative algorithm for rational approximation.
TL;DR: When constant output feedback is applied around a linear system with a rational transfer function matrix which may be improper, the closed-loop transfer function matrices is generically proper as mentioned in this paper, which is the case for all linear systems with rational transfer functions.
Abstract: When constant output feedback is applied around a linear system with a rational transfer function matrix which may be improper, the closed-loop transfer function matrix is generically proper.