CRONE control system design toolbox for the control engineering community: tutorial and case study

Lanusse, Patrick; Malti, Rachid; Melchior, Pierre

doi:10.1098/rsta.2012.0149

Cited by 60 publications

(33 citation statements)

References 10 publications

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“…We present numerical simulations of the special solution of our model using the Adams-Moulton rule given by Equation (23) and Equations (49) and ( …”

Section: Examplementioning

confidence: 99%

“…The vertical template is then replaced by a generalized template or by a multi-template (or curvilinear template) defined by a set of generalized templates. Here also, the transfer function is defined a posteriori based on the open-loop behavior [49].…”

Section: Crone Controllers Presentationmentioning

confidence: 99%

“…Previous studies have shown that it is sufficient for ω l to be one decade less ω B , whereas for ω l , it must be one decade above ω h [49].…”

Section: Introductionmentioning

confidence: 99%

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The Craft of Fractional Modelling in Science and Engineering

Hristov¹

2018

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“…We present numerical simulations of the special solution of our model using the Adams-Moulton rule given by Equation (23) and Equations (49) and ( …”

Section: Examplementioning

confidence: 99%

Section: Crone Controllers Presentationmentioning

confidence: 99%

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The Craft of Fractional Modelling in Science and Engineering

Hristov¹

2018

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“…Previous studies have shown that it is sufficient for ωl to be one decade less ωB, whereas for ωl, it must be one decade above ωh [49].…”

Section: Introductionmentioning

confidence: 99%

Comparison between the Second and Third Generations of the CRONE Controller: Application to a Thermal Diffusive Interface Medium

2018

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Abstract:The control of thermal interfaces has gained importance in recent years because of the high cost of heating and cooling materials in many applications. Thus, the main focus in this work is to compare the second and third generations of the CRONE controller (French acronym of Commande Robuste d'Ordre Non Entier), which means a non-integer order robust controller, and to synthesize a robust controller that can fit several types of systems. For this study, the plant consists of a rectangular homogeneous bar of length L, where the heating element in applied on one boundary, and a temperature sensor is placed at distance x from that boundary (x is considered very small with respect to L). The type of material used is the third parameter, which may help in analyzing the robustness of the synthesized controller. The originality of this work resides in controlling a non-integer plant using a fractional order controller, as, so far, almost all of the systems where the CRONE controller has been implemented were of integer order. Three case studies were defined in order to show how and where each CRONE generation controller can be applied. These case studies were chosen in such a way as to influence the asymptotic behavior of the open-loop transfer function in the Black-Nichols diagram in order to point out the importance of respecting the conditions of the applications of the CRONE generations. Results show that the second generation performs well when the parametric uncertainties do not affect the phase of the plant, whereas the third generation is the most robust, even when both the phase and the gain variations are encountered. However, it also has some limitations, especially when the temperature to be controlled is far from the interface when the density of flux is applied.

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“…The rest of the papers can be roughly grouped into three parts: three papers for fundamental theories of fractional calculus [7][8][9], five papers for fractional modelling with applications [10][11][12][13][14] and four papers for numerical approaches [15][16][17][18].…”

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confidence: 99%