PI-D Controller Design with Finite Number of Frequency Responces Model via a Ratio of Fourier Transformations of Input and Output Signals

2019 ◽  
Vol 139 (4) ◽  
pp. 402-408
Author(s):  
Yasushi Kami ◽  
Ryosuke Tanaka ◽  
Yuuichiroh Mitani ◽  
Eitaku Nobuyama
1997 ◽  
Vol 119 (2) ◽  
pp. 271-277 ◽  
Author(s):  
Jenq-Tzong H. Chan

In this paper, we present a modified method of data-based LQ controller design which is distinct in two major aspects: (1) one may prescribe the z-domain region within which the closed-loop poles of the LQ design are to lie, and (2) controller design is completed using only plant input and output data, and does not require explicit knowledge of a parameterized plant model.


2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Shuai Zhang ◽  
Yang Guo ◽  
Shicheng Wang

When threatened by a pursuer, an evading aircraft launches two defenders to accomplish a cooperative evasion, constituting a four-aircraft interception engagement. Under the assumption that the pursuing aircraft adopts the augmented proportional guidance law and first-order dynamics, a cooperative intercept mathematical model with an intercept angle constraint is established, allowing for the cooperative maneuvering of the evader. Based on the differential linear matrix inequality (DLMI), a controller design method of input and output finite time stability (IO-FTS) is proposed and applied to the aircraft’s cooperative intercept scenario. A cooperation performance analysis is carried out for two cases: (1) two defenders intercept the pursuer with various intercept angle constraints, and (2) the evader acts in a lure role to cooperate with two defenders. The simulation results indicate that the proposed method of controller design has the ability to guarantee that the two defenders intercept the pursuer at the preassigned intercept angles. The cooperative intercept scenario with a lure role is shown to be a very effective method for reducing the maximum required acceleration for defenders, which confirms the availability and advantage of cooperation. The strong adaptability and robustness of the cooperative guidance law with respect to various initial launch conditions is also verified.


1990 ◽  
Vol 112 (3) ◽  
pp. 372-380 ◽  
Author(s):  
Ilene J. Busch-Vishniac

The process of modeling transducers generally involves the use of a finite number of discrete lumped elements connected using circuit-like conventions. However, such models are difficult to use for transducers which implicitly depend upon variation of a physical parameter with location since they view the transducer as existing only at points or discrete intervals in space. In this article a general modeling procedure is developed which views a transducer as a spatially distributed device. The model introduced here uses the theory of connected two-ports to determine the overall transfer matrix and scattering matrix representations. This directly yields the transducer sensitivities and efficiencies. The model is limited to transducers which may be thought of as being comprised of an infinite number of infinitesimal twoport elements, each of which is mechanically independent of the others. Coupling between the elements occurs through the input and output ports. The modeling procedure is demonstrated using an acoustic antenna, and shown to accurately predict the directional behavior.


Author(s):  
R. A. Crowther

The reconstruction of a three-dimensional image of a specimen from a set of electron micrographs reduces, under certain assumptions about the imaging process in the microscope, to the mathematical problem of reconstructing a density distribution from a set of its plane projections.In the absence of noise we can formulate a purely geometrical criterion, which, for a general object, fixes the resolution attainable from a given finite number of views in terms of the size of the object. For simplicity we take the ideal case of projections collected by a series of m equally spaced tilts about a single axis.


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