Ziegler-Nichols frequency response method for high-order adaptive optics system of the Advanced Technology Solar Telescope

Joseph Curamen; Luke Johnson; Thomas Rimmele

doi:10.1117/12.927169

27 September 2012 Ziegler-Nichols frequency response method for high-order adaptive optics system of the Advanced Technology Solar Telescope

Joseph Curamen, Luke Johnson, Thomas Rimmele

Author Affiliations +

Proceedings Volume 8447, Adaptive Optics Systems III; 844769 (2012) https://doi.org/10.1117/12.927169
Event: SPIE Astronomical Telescopes + Instrumentation, 2012, Amsterdam, Netherlands

Abstract

We present the study and results on automatic tuning and optimizing the closed-loop control gains of the Proportional Integral (PI) controller for the high-order adaptive optics (HOAO) system. The Ziegler-Nichols frequency response (ZNfr) method is examined using the Nyquist stability criterion to implement the automatic tuning of PI controller by determining the ultimate gain, Ku, and ultimate period, Tu, of a process model, which consists of components from adaptive optics (AO) system. The maximum magnitude criterion, 0.5 dB 2.3, is identified and considered as the optimization method, which also established the stability of the PI controller. MATLAB scripts are developed to execute iterative calculation of control algorithm, which automates real-time simulation of the Simulink high-order adaptive optics (Sim-HOAO) models. Simulink block diagrams are used to represent transfer functions, which described the frequency-domain behavior of the AO system.

Citation Download Citation

Joseph Curamen, Luke Johnson, and Thomas Rimmele "Ziegler-Nichols frequency response method for high-order adaptive optics system of the Advanced Technology Solar Telescope", Proc. SPIE 8447, Adaptive Optics Systems III, 844769 (27 September 2012); https://doi.org/10.1117/12.927169

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