Open AccessAccelerated Adaptive Backstepping Control of the Chaotic MEMS Gyroscope by Using the Type-2 Sequential FNN
Author(s) -
Le Zhao,
Shao Hua Luo,
Guan ci Yang,
Jun yang Li
Publication year - 2021
Publication title -
ingeniería e investigación/ingeniería e investigación
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.204
H-Index - 12
eISSN - 2248-8723
pISSN - 0120-5609
DOI - 10.15446/ing.investig.v41n1.85825
Subject(s) - backstepping , control theory (sociology) , differentiator , controller (irrigation) , vibrating structure gyroscope , convergence (economics) , chaotic , computer science , gyroscope , exponential stability , dead zone , adaptive control , lyapunov stability , control engineering , engineering , nonlinear system , control (management) , artificial intelligence , physics , computer network , oceanography , bandwidth (computing) , quantum mechanics , geology , economic growth , agronomy , economics , biology , aerospace engineering
In this paper, we propose an accelerated adaptive backstepping control algorithm based on the type2 sequential fuzzy neural network (T2SFNN) for the microelectromechanical system (MEMS) gyroscope with deadzone and constraints. Firstly, the mathematical model of the MEMS gyroscope is established to perform dynamical analyses and controller design. Then, the phase diagrams and Lyapunov exponents are presented to reveal its chaotic oscillation, which is harmful to system stability. In order to suppress oscillations derived from chaos and deadzone, an accelerated adaptive backstepping controller is proposed wherein an adaptive auxiliary is established to compensate the influence of nonsymmetric deadzone on stability performance, along with the T2SFNN designed to approximate unknown functions of dynamic systems. Furthermore, the speed function is introduced to accelerate convergence speed of the control system, and the problem of complex term explosion in traditional backstepping is successfully solved by a secondorder tracking differentiator. Finally, simulation results show that the proposed control scheme can guarantee asymptotic convergence of all signals in the closedloop system, as well as satisfying states constraints and fulfilling the purposes of chaos suppression and accelerated convergence.