Fuzzy adaptive terminal sliding mode control of SIMO nonlinear systems with T-S fuzzy model

This paper aims to design a control input by using of adaptive terminal sliding mode control (ATSMC) method to ensure finite time stability for single input-multi output (SIMO) fuzzy system with T-S model at the same time by estimate unknowns and external disturbances upper bounds. The upper bound of the uncertainties and external disturbances is assumed to be unknown, which is estimated by using adaptive laws. The advantages of this method are robustness against uncertainties and external disturbances and guarantee finite time stability. The control strategy is designed and simulated on a ball and plate system in Simulink/MATLAB to show correctness of the suggested method.

[1]  Chong Lin,et al.  Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems , 2018, IEEE Transactions on Fuzzy Systems.

[2]  Chen Zengqiang,et al.  Constrained predictive control based on T-S fuzzy model for nonlinear systems , 2007 .

[3]  Weijie Mao,et al.  Finite-time stability and stabilisation of distributed parameter systems , 2017 .

[4]  Ligang Wu,et al.  Takagi–Sugeno fuzzy-model-based control of three-phase AC/DC voltage source converters using adaptive sliding mode technique , 2017 .

[5]  J. Sun,et al.  Finite-time stability of quantum systems with impulses , 2014 .

[6]  Ligang Wu,et al.  Adaptive sliding mode control of non-linear non-minimum phase system with input delay , 2017 .

[7]  Wei Zhang,et al.  Adaptive sliding mode observer-controller design for nonlinear systems: A fuzzy approach , 2017, 2017 36th Chinese Control Conference (CCC).

[8]  Yeong-Hwa Chang,et al.  T-S Fuzzy Model-Based Adaptive Dynamic Surface Control for Ball and Beam System , 2013, IEEE Transactions on Industrial Electronics.

[9]  Weidong Zhang,et al.  Adaptive non‐singular integral terminal sliding mode tracking control for autonomous underwater vehicles , 2017, IET Control Theory & Applications.

[10]  Bor-Sen Chen,et al.  Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model , 2001, IEEE Trans. Fuzzy Syst..

[11]  Chong Lin,et al.  Adaptive finite-time control for a class of uncertain high-order non-linear systems based on fuzzy approximation , 2017 .

[12]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[13]  Gang Feng,et al.  Adaptive Finite-Time Controller Design for T–S Fuzzy Systems , 2017, IEEE Transactions on Cybernetics.

[14]  Jun Zhao,et al.  On Finite-Time Stability of Cyclic Switched Nonlinear Systems , 2015, IEEE Transactions on Automatic Control.

[15]  Zhaowei Sun,et al.  Adaptive Sliding Mode Control for Spacecraft Autonomous Rendezvous With Elliptical Orbits and Thruster Faults , 2017, IEEE Access.

[16]  Wen-Jer Chang,et al.  Sliding mode fuzzy control for Takagi-Sugeno fuzzy systems with bilinear consequent part subject to multiple constraints , 2016, Inf. Sci..