Measurement and control of emergent phenomena emulated by resistive-capacitive networks, using fractional-order internal model control and external adaptive control

A fractional-order internal model control technique is applied to a three-dimensional resistive-capacitive network to enforce desired closed-loop dynamics of first order. In order to handle model mismatch issues resulting from the random allocation of the components within the network, the control l...

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Bibliographic Details
Published in:Review of scientific instruments 2019-10, Vol.90 (10)
Main Authors: Galvão, Roberto K. H., Hadjiloucas, Sillas
Format: Article
Language:English
Subjects:
Adaptive control
Atomic force microscopy
Complex systems
Control theory
Electron spin
Feedback control
Fluorescence
Microwave photonics
Noise measurement
Scientific apparatus & instruments
Surgical implants
Three dimensional models
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Summary:A fractional-order internal model control technique is applied to a three-dimensional resistive-capacitive network to enforce desired closed-loop dynamics of first order. In order to handle model mismatch issues resulting from the random allocation of the components within the network, the control law is augmented with a model-reference adaptive strategy in an external loop. By imposing a control law on the system to obey first order dynamics, a calibrated transient response is ensured. The methodology enables feedback control of complex systems with emergent responses and is robust in the presence of measurement noise or under conditions of poor model identification. Furthermore, it is also applicable to systems that exhibit higher order fractional dynamics. Examples of feedback-controlled transduction include cantilever positioning in atomic force microscopy or the control of complex de-excitation lifetimes encountered in many types of spectroscopies, e.g., nuclear magnetic, electron-spin, microwave, multiphoton fluorescence, Förster resonance, etc. The proposed solution should also find important applications in more complex electronic, microwave, and photonic lock-in problems. Finally, there are further applications across the broader measurement science and instrumentation community when designing complex feedback systems at the system level, e.g., ensuring the adaptive control of distributed physiological processes through the use of biomedical implants.
ISSN:0034-6748
1089-7623
DOI:10.1063/1.5097743