NONLINEAR STABILITY ANALYSIS OF MULTIPLE ADAPTIVE NOTCH FILTER WITH SEMISTABILITY LYAPUNOV THEOREM AND PERFORMANCE IMPROVEMENT IN THE PRESENCE OF SINUSOIDAL DISTURBANCES

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JENABZADEH AHMADREZA; BINAZADEH TAHEREH; SAFARINEJADIAN BEHROOZ

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Journal: Journal of Control Year:2015 | Volume:9 | Issue:2 Page(s): 0-0

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Title

NONLINEAR STABILITY ANALYSIS OF MULTIPLE ADAPTIVE NOTCH FILTER WITH SEMISTABILITY LYAPUNOV THEOREM AND PERFORMANCE IMPROVEMENT IN THE PRESENCE OF SINUSOIDAL DISTURBANCES

Author(s)

JENABZADEH AHMADREZA | BINAZADEH TAHEREH | SAFARINEJADIAN BEHROOZ | Issue Writer Certificate

Keywords

FREQUENCY ESTIMATIONQ2

ADAPTIVE NOTCH FILTERQ2

SEMISTABILITYQ2

ULTIMATE BOUNDEDNESSQ2

SINUSOIDAL DISTURBANCEQ2

Abstract

In this paper, different cases of the stability of Multiple ADAPTIVE NOTCH FILTER (MANF) are studied. The structure of MANF is composed of N parallel subfilters. Each subfilter estimates the parameters of one the components of quasi periodic signals including the sum of N periodic signals. For this structure, there are three different cases of stability for N=K, N>K and N<K, which include the exponential stability in the isolated equilibrium point, the SEMISTABILITY and the ULTIMATE BOUNDEDNESS in the presence of disturbance. Among these cases, the second and the third cases are analyzed more specifically in this paper and therefore in this paper, in addition to the presentation of MANF, a new approach is proposed to prove the SEMISTABILITY based on the Lyapunov function definition. Also, according to the fact that the estimated frequency of subfiltersincludes a bias, a general form is obtained to determine the estimated frequency of subfilters in the case of the ULTIMATE BOUNDEDNESS under disturbance. Additionally, in order to cancel this bias, a method is proposed based on the use of rectangular window functions in MANF. Simulations are carried out to demonstrate that using the rectangular window enhances the ANF performance.

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APA: Copy

JENABZADEH, AHMADREZA, BINAZADEH, TAHEREH, & SAFARINEJADIAN, BEHROOZ. (2015). NONLINEAR STABILITY ANALYSIS OF MULTIPLE ADAPTIVE NOTCH FILTER WITH SEMISTABILITY LYAPUNOV THEOREM AND PERFORMANCE IMPROVEMENT IN THE PRESENCE OF SINUSOIDAL DISTURBANCES. JOURNAL OF CONTROL, 9(2), 0-0. SID. https://sid.ir/paper/394425/en

Vancouver: Copy

JENABZADEH AHMADREZA, BINAZADEH TAHEREH, SAFARINEJADIAN BEHROOZ. NONLINEAR STABILITY ANALYSIS OF MULTIPLE ADAPTIVE NOTCH FILTER WITH SEMISTABILITY LYAPUNOV THEOREM AND PERFORMANCE IMPROVEMENT IN THE PRESENCE OF SINUSOIDAL DISTURBANCES. JOURNAL OF CONTROL[Internet]. 2015;9(2):0-0. Available from: https://sid.ir/paper/394425/en

IEEE: Copy

AHMADREZA JENABZADEH, TAHEREH BINAZADEH, and BEHROOZ SAFARINEJADIAN, “NONLINEAR STABILITY ANALYSIS OF MULTIPLE ADAPTIVE NOTCH FILTER WITH SEMISTABILITY LYAPUNOV THEOREM AND PERFORMANCE IMPROVEMENT IN THE PRESENCE OF SINUSOIDAL DISTURBANCES,” JOURNAL OF CONTROL, vol. 9, no. 2, pp. 0–0, 2015, [Online]. Available: https://sid.ir/paper/394425/en

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