Adaptive control of printing devices using fractional-order hold circuits adjusted through neural networks

Bárcena, Rafael; Lejarreta, Aintzane Etxebarria

doi:10.1016/j.jfranklin.2006.10.001

Cited by 8 publications

(14 citation statements)

References 16 publications

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“…Thus, the parameters in the numerator of such a TF depend on β and, consequently, the zeros of G β (z, β ) vary their position on the complex plane. The analysis here exposed is based on the study of the roots of polynomial N β (z,β ), given by expressions (6)- (9), and on the way those values vary, depending on . β…”

Section: The Analysys Methodsmentioning

confidence: 99%

“…), the inverted pendulum is described by the following TF: A FROH electronic device, like that designed in [6] or the practical implementation described in [11], is used to generate the control signal. From the ZOH and the Considering now (9) and (11), we obtain from (29) that a = 1, b = 2.0002, k = 0.3333. Applying the result obtained from the Eneström-Kakeya theorem, it is clear that the sufficient conditions imposed by (26) on the continuous-time plant and sampling period -via parameters a, b and k-are satisfied.…”

Section: Example 1 (Inverted Pendulum Control)mentioning

confidence: 99%

“…Moreover, that allows for the obtaining of a inverse stable discrete plant. It is well known the significance of this property (see, for instance, [1,6,9,[14][15][16] and the works referenced therein) when applying a wide range of digital control schemes.…”

Section: Example 1 (Inverted Pendulum Control)mentioning

confidence: 99%

“…However, there may be more appropriate choices for several control problems. In fact, it has been demonstrated in [3][4][5][6][7][8][9][10][11] that the use of conveniently tuned fractional-order hold (FROH) circuits may enhance the performance of some digitally controlled systems. Such enhancement is obtained either as a consequence of a higher stability degree of the FROH discrete zeros, or because of a more advantageous pole-zero configuration in closed loop (illustrative examples for both cases are described in [6] and [9]).…”

Section: Introductionmentioning

confidence: 99%

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Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros

Bárcena

Lejarreta

2010

Int. J. Control Autom. Syst.

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A study on the convenient tuning of fractional-order hold electronic devices for digital control systems is presented. When certain constraints are fulfilled, this study assures in advance the attainment of inverse stable discrete plants. The main result is based on classic numerical analysis techniques and is applicable when the process to be digitally controlled is described as a second order plant or as a first order plant with time delay. In such cases, by using a conveniently tuned fractional-order hold, the discretization nonminimum-phase zeros emerged when using a common zero-order hold are avoided. In this way, the performance of the digitally controlled system may be improved.

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Section: The Analysys Methodsmentioning

confidence: 99%

Section: Example 1 (Inverted Pendulum Control)mentioning

confidence: 99%

Section: Example 1 (Inverted Pendulum Control)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros

Bárcena

Lejarreta

2010

Int. J. Control Autom. Syst.

Self Cite

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“…Fractional-Order Holds (FROHs) are a technique for improving the performance of digital control systems [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Standard discrete time systems adopt Zero-Order Holds (ZOHs) that model the signal reconstruction done by a conventional digital-to-analog converter (DAC).…”

Section: Introductionmentioning

confidence: 99%

Fractional order modelling of fractional-order holds

Machado

2012

Nonlinear Dyn

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Discrete time control systems require sample-and-hold circuits to perform the conversion from digital to analog. Fractional-Order Holds (FROHs) are an interpolation between the classical zero and first order holds and can be tuned to produce better system performance. However, the model of the FROH is somewhat hermetic and the design of the system becomes unnecessarily complicated. This paper addresses the modelling of the FROHs using the concepts of Fractional Calculus (FC). For this purpose, two simple fractional-order approximations are proposed whose parameters are estimated by a genetic algorithm. The results are simple to interpret, demonstrating that FC is a useful tool for the analysis of these devices.

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Type Number Based Steady‐State Error Analysis on Fractional Order Control Systems

Pan

Gao

Qiu

et al. 2016

Asian Journal of Control

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In this paper, steady‐state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non‐unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non‐unity feedback. Then steady‐state error of various types of FOCSs are analyzed respectively via type number concept. It is also shown that FOCSs with type number more than 1 are not able to track particular reference without changing the sign of the tracking error.

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Adaptive control of printing devices using fractional-order hold circuits adjusted through neural networks

Cited by 8 publications

References 16 publications

Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros

Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros

Fractional order modelling of fractional-order holds

Type Number Based Steady‐State Error Analysis on Fractional Order Control Systems

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