Benefiting from Linear Behaviour of a Nonlinear Reset-Based Element at Certain Frequencies

@article{Karbasizadeh2020BenefitingFL,
  title={Benefiting from Linear Behaviour of a Nonlinear Reset-Based Element at Certain Frequencies},
  author={Nima Karbasizadeh and Ali Ahmadi Dastjerdi and Niranjan Saikumar and Duarte Val{\'e}rio and S. Hassan Hosseinnia},
  journal={2020 Australian and New Zealand Control Conference (ANZCC)},
  year={2020},
  pages={226-231}
}
This paper addresses a phenomenon caused by resetting only one of the two states of a so-called second order “Constant in gain Lead in phase” (CgLp) element. CgLp is a recently introduced reset-based nonlinear element, bound to circumvent the well-known linear control limitation - the waterbed effect. The ideal behaviour of such a filter in the frequency domain is unity gain while providing a phase lead for a broad range of frequencies, which clearly violates the linear Bode's gain phase… 

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