Topic
Transfer function
About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.
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TL;DR: In this paper, the question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed, where the parameterization can be in terms of operating point inputs or operating point outputs.
Abstract: The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs. For both parameterized linear state equations and parameterized transfer functions, existence conditions, and constructions, for a corresponding nonlinear system are presented.
58 citations
TL;DR: This study proposes the multidimensional multichannel sampling (MMS) for the bandlimited signal in the LCT domain based on a basis expansion of an exponential function and obtains the reconstruction method for theMultidimensional derivative sampling and the periodic non-uniform sampling by designing the system filter transfer functions.
Abstract: The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. In this study, the authors address the problem of signal reconstruction from the multidimensional multichannel samples in the LCT domain. Firstly, they pose and solve the problem of expressing the kernel of the multidimensional LCT in the elementary functions. Then, they propose the multidimensional multichannel sampling (MMS) for the bandlimited signal in the LCT domain based on a basis expansion of an exponential function. The MMS expansion which is constructed by the ordinary convolution structure can reduce the effect of the spectral leakage and is easy to implement. Thirdly, based on the MMS expansion, they obtain the reconstruction method for the multidimensional derivative sampling and the periodic non-uniform sampling by designing the system filter transfer functions. Finally, the simulation results and the potential applications of the MMS are presented. Especially, the application of the multidimensional derivative sampling in the context of the image scaling about the image super-resolution is discussed.
58 citations
TL;DR: In this article, it was shown that a minimum phase system implies certain properties of the system itself, such as stabilizable and detectable properties, and that a system which has equal inputs and outputs, and which is minimum phase automatically, implies that the system must be stable and detectable.
Abstract: It is shown that a minimum phase system implies certain properties of the system itself. In particular, a system which has equal inputs and outputs, and which is minimum phase automatically, implies that the system must be stabilizable and detectable. It is also shown that "squaring down" a system which has more inputs than outputs, to produce a system which has equal inputs and outputs, may be an undesirable procedure to carry out, in the sense that the original nonsquared system may be minimum phase, but the "squared-down" system may in fact now be nonminimum phase.
58 citations
TL;DR: Examples show that modeling error compensation can also be used to improve the robustness for systems with right half plane zeros, and that the transient response using model error compensation is better than that using model reference adaptive control.
Abstract: A new robust linear controller design method is considered. The robust controller consists of two parts: 1) a conventional model matching feedback and 2) a new linear "modeling error compensator" which exploits a modeling error signal (based on the plant input and output signals) to enhance both the stability and performance robustness. For linear SISO systems of known order without right half plane zeros and arbitrary variation of transfer function coefficients within a given bounded set, a modeling error compensator can be designed which guarantees robust stability and an arbitrary small H/sub /spl infin//-norm of the tracking error transfer function over a given frequency band. Examples show that modeling error compensation can also be used to improve the robustness for systems with right half plane zeros, and that the transient response using model error compensation is better than that using model reference adaptive control. >
58 citations
TL;DR: In this paper, a detailed derivation of the transfer function for a multigimbal, elastically supported, tuned gyro is presented and comparison made between its characteristics and those of a classical two-axis, free-rotor gyro.
Abstract: Detailed derivation of the transfer function for a multigimbal, elastically supported, tuned gyro is presented and comparison made between its characteristics and those of a classical two-axis, free-rotor gyro. Knowledge of the gyro transfer function is necessary for the purpose of servo analysis of the system in which the gyro is used; also, the transfer function is a basis of evaluation of errors caused by angular inputs that occur at twice spin frequency.
58 citations