Accelerated Adaptive Backstepping Control of the Chaotic MEMS Gyroscope by Using the Type-2 Sequential FNN

Ingeniería e Investigación

Guan ci Yang¹  Shao hua Luo²  Le Zhao²  Jun yang Li³ 

[1] Key Laboratory of Advanced Manufacturing Technology, School of Mechanical Engineering, Guizhou University;School of Mechanical Engineering, Guizhou University;State Key Laboratory of Mechanical Transmission, Chongqing University;

关键词: mems gyroscope;    type-2 sequential fuzzy neural network;    accelerated backstepping control;    chaotic oscillation;    speed function;   

DOI  :  10.15446/ing.investig.v41n1.85825

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown