Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope
Shaohua Luo,
Guanci Yang,
Junyang Li and
Hassen M. Ouakad
Chaos, Solitons & Fractals, 2022, vol. 155, issue C
Abstract:
In this paper, an accelerated adaptive backstepping control problem is investigated for the fractional-order (FO) Micro-electro-mechanical system (MEMS) gyroscope. Its dynamical behaviors are studied through effective tools such as phase diagrams, time histories, Lyapunov exponent, 0-1 test and bifurcation diagram. And its equivalent analog circuits producing regular behaviors as well as complex ones are constructed to further reveal nonlinear dynamics especially chaotic oscillations. In the controller design, the Fourier series and the interval type-2 fuzzy logic system (IT2FLS) are utilized to reconstruct imprecise reference trajectories, and unknown functions are approximated through the IT2FLS with adaptive laws. The speed function is constructed to improve the transient response performance of the FO MEMS gyroscope, and a tracking differentiator (TD) is introduced to solve the problem of ‘explosion of complexity’. Then, an accelerated adaptive backstepping controller integrating the IT2FLS, speed function and TD into the technical framework of backstepping is proposed here. The stability analysis proves that all signals of the closed-loop FO MEMS gyroscope are asymptotically uniformly bounded. Finally, the effectiveness of the proposed control scheme is verified by abundant results.
Keywords: FO MEMS gyroscope; Adaptive backstepping control; Analog circuit; IT2FLS; Imprecise reference trajectories (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921010894
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010894
DOI: 10.1016/j.chaos.2021.111735
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().