Adaptive Fuzzy Global Fast Terminal Sliding Mode Control for Microgyroscope System

This paper mainly discusses an adaptive fuzzy sliding mode control problem for a microgyroscope system via a global fast terminal sliding mode approach. The fabrication imperfections, the time varying system parameters, and the external disturbances are taken into consideration synchronously, and the corresponding dynamic model is established. A global fast terminal sliding mode control scheme is designed to guarantee that the system can reach the sliding surface and converge to equilibrium point in a shorter finite time from any initial state surface. Furthermore, an adaptive fuzzy control is introduced to approximate the model uncertainties and external disturbances. The chattering caused by the sliding mode control is weakened as well. Both the stability analysis and the tracking performance of the gyroscope system are proved by the Lyapunov stability theory. The effectiveness of the invoked control schemes for microgyroscope system is illustrated through the simulation results.

[1]  Abbas Erfanian,et al.  Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems , 2011, Fuzzy Sets Syst..

[2]  Tong Chao Modeling and Integral Variable Structure Control of Hydraulic Looper Multivariable System , 2008 .

[3]  Yufei Xu,et al.  Adaptive Fault-Tolerant Tracking Control of Near-Space Vehicle Using Takagi–Sugeno Fuzzy Models , 2010, IEEE Transactions on Fuzzy Systems.

[4]  Juntao Fei,et al.  An adaptive fuzzy sliding mode controller for MEMS triaxial gyroscope with angular velocity estimation , 2012 .

[5]  C.-K. Lin,et al.  Nonsingular Terminal Sliding Mode Control of Robot Manipulators Using Fuzzy Wavelet Networks , 2006, IEEE Transactions on Fuzzy Systems.

[6]  Juntao Fei,et al.  Comparative Study of System Identification Approaches for Adaptive Tracking of MEMS gyroscope , 2012, Int. J. Robotics Autom..

[7]  Xiaoping Liu,et al.  Approximation-Based Adaptive Fuzzy Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Time-Delay Systems , 2015, IEEE Transactions on Fuzzy Systems.

[8]  Shaocheng Tong,et al.  A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems , 2003, IEEE Trans. Fuzzy Syst..

[9]  Youxian Sun,et al.  Adaptive neural control of high-order uncertain nonaffine systems: A transformation to affine systems approach , 2014, Autom..

[10]  Yan-Kun Wu,et al.  Modeling and Integral Variable Structure Control of Hydraulic Looper Multivariable System: Modeling and Integral Variable Structure Control of Hydraulic Looper Multivariable System , 2009 .

[11]  Petr Husek,et al.  Adaptive sliding mode control with moving sliding surface , 2016, Appl. Soft Comput..

[12]  Chin-Wang Tao,et al.  Adaptive fuzzy terminal sliding mode controller for linear systems with mismatched time-varying uncertainties , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  Masanori Sugisaka,et al.  Decoupled fuzzy adaptive sliding mode control for under-actuated systems with mismatched uncertainties , 2010, The 2010 IEEE International Conference on Information and Automation.

[14]  Wei Wang,et al.  Adaptive compensation for infinite number of actuator failures or faults , 2011, Autom..

[15]  Guang-Hong Yang,et al.  Adaptive fuzzy tracking control for a class of uncertain nonaffine nonlinear systems with dead-zone inputs , 2016, Fuzzy Sets Syst..

[16]  Xiaoping Liu,et al.  Direct adaptive fuzzy control of nonlinear strict-feedback systems , 2009, Autom..

[17]  Youxian Sun,et al.  Guaranteed Performance Control of DFIG Variable-Speed Wind Turbines , 2016, IEEE Transactions on Control Systems Technology.

[18]  Yuanqing Xia,et al.  Robust Adaptive Sliding-Mode Control for Fuzzy Systems With Mismatched Uncertainties , 2010, IEEE Transactions on Fuzzy Systems.

[19]  Hong Wang,et al.  Adaptive fuzzy asymptotic tracking control of uncertain nonaffine nonlinear systems with non-symmetric dead-zone nonlinearities , 2016, Inf. Sci..

[20]  Yongming Li,et al.  Observer-based adaptive fuzzy output constrained control for MIMO nonlinear systems with unknown control directions , 2016, Fuzzy Sets Syst..

[21]  Xiaoping Liu,et al.  Adaptive fuzzy tracking control for a class of pure-feedback stochastic nonlinear systems with non-lower triangular structure , 2016, Fuzzy Sets Syst..

[22]  Erdal Kayacan,et al.  Adaptive Neuro-Fuzzy Control of a Spherical Rolling Robot Using Sliding-Mode-Control-Theory-Based Online Learning Algorithm , 2013, IEEE Transactions on Cybernetics.

[23]  Juntao Fei,et al.  Adaptive sliding mode control of dynamic system using RBF neural network , 2012 .

[24]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[25]  M. Saif,et al.  Terminal sliding mode control of Z-axis MEMS gyroscope with observer based rotation rate estimation , 2011, Proceedings of the 2011 American Control Conference.

[26]  Chi Yu,et al.  Guaranteed cost sliding mode control for looper–tension multivariable uncertain systems , 2015 .