A tunable mixed feedback oscillator

Che, Weiming; Forni, Fulvio

doi:10.23919/ecc54610.2021.9655221

Cited by 3 publications

(3 citation statements)

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“…where −k(2β − 1) is the DC gain of kG(s). The stability of these equilibria can be verified numerically, [30]. However, by construction, the root locus of the linearized closed-loop system has the form in Fig.…”

Section: The Mixed Feedback Amplifiermentioning

confidence: 99%

“…For a first order load L(s), an example is provided in Figure 6(a). For a detailed study please refer to [30].…”

Section: Determine the Existence Of Oscillations A Oscillations Via 2...mentioning

confidence: 99%

“…In what follows we study the oscillator design problem using the mixed feedback amplifier proposed in our previous work [30]. The mixed feedback controller is tuned by two parameters: the balance β regulates the relative strength between positive and negative feedback; the gain k determines the collective feedback strength.…”

Section: Introductionmentioning

confidence: 99%

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Shaping oscillations via mixed feedback

Che¹,

Forni²

2021

Preprint

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We study the problem of controlling oscillations in closed loop by combining positive and negative feedback in a mixed configuration. We develop a complete design procedure to set the relative strength of the two feedback loops to achieve steady oscillations. The proposed design takes advantage of dominance theory and adopts classical harmonic balance and fast/slow analysis to regulate the frequency of oscillations. The design is illustrated on a simple two-mass system, a setting that reveals the potential of the approach for locomotion, mimicking approaches based on central pattern generators.W. Che is supported by CSC Cambridge Scholarship. W. Che and F.

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Section: The Mixed Feedback Amplifiermentioning

confidence: 99%

“…For a first order load L(s), an example is provided in Figure 6(a). For a detailed study please refer to [30].…”

Section: Determine the Existence Of Oscillations A Oscillations Via 2...mentioning

confidence: 99%