Fuzzy variable structure control for uncertain systems with disturbance

This paper focuses on the fuzzy variable structure control for uncertain systems with disturbance. Specifically, the fuzzy control is introduced to estimate the control disturbance, the switching control is included to compensate for the approximation error, and they possess the characteristic of simpleness in design and effectiveness in attenuating the control chattering. Some typical numerical examples are presented to demonstrate the effectiveness and advantage of the fuzzy variable structure controller proposed.

[1]  Yugang Niu,et al.  Stabilization of discrete-time stochastic systems via sliding mode technique , 2012, J. Frankl. Inst..

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

[3]  Xinkai Chen,et al.  Pseudo-inverse-based adaptive control for uncertain discrete time systems preceded by hysteresis , 2009, Autom..

[4]  H. Su,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009 .

[5]  Peng Shi,et al.  Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions , 2012, IEEE Transactions on Fuzzy Systems.

[6]  Hailong Xing,et al.  Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay , 2009 .

[7]  Daniel W. C. Ho,et al.  Sliding mode control of switched hybrid systems with stochastic perturbation , 2011, Syst. Control. Lett..

[8]  Peng Shi,et al.  Robust H∞ control for a class of discrete time fuzzy systems via delta operator approach , 2012, Inf. Sci..

[9]  Hamid Reza Karimi,et al.  H∞ synchronization of Markovian jump master-slave systems with delay , 2012, 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV).

[10]  Shengyuan Xu,et al.  Adaptive Output-Feedback Fuzzy Tracking Control for a Class of Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

[11]  Zheng-Guang Wu,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009, IEEE Transactions on Fuzzy Systems.

[12]  Daniel W. C. Ho,et al.  Sliding mode control of singular stochastic hybrid systems , 2010, Autom..

[13]  Peng Shi,et al.  Fault-Tolerant Control for Nonlinear Markovian Jump Systems via Proportional and Derivative Sliding Mode Observer Technique , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  Chenglin Wen,et al.  Fuzzy approximation relations on fuzzy n-cell number space and their applications in classification , 2011, Inf. Sci..

[15]  Liu Hsu,et al.  Peaking free variable structure control of uncertain linear systems based on a high-gain observer , 2009, Autom..

[16]  V. Utkin Variable structure systems with sliding modes , 1977 .

[17]  Kuo-Hsien Hsia,et al.  Multi-objective Fuzzy Optimal Design of Alpha-Beta Estimators for Nonlinear Variable Structure Control , 2014 .

[18]  Hamid Reza Karimi,et al.  Wavelet-Based Identification and Control Design for a Class of Nonlinear Systems , 2006, Int. J. Wavelets Multiresolution Inf. Process..

[19]  Yufei Xu,et al.  Fault accommodation for near space vehicle attitude dynamics via T-S fuzzy models , 2010 .

[20]  Yongduan Song,et al.  A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay , 2012, IEEE Transactions on Fuzzy Systems.

[21]  Harris Wu,et al.  Robust sliding mode control for uncertain linear discrete systems independent of time-delay , 2011 .

[22]  Yugang Niu,et al.  Sliding mode control for stochastic systems subject to packet losses , 2012, Inf. Sci..

[23]  Xiucheng Dong,et al.  Design of PSO fuzzy Neural Network control for Ball and Plate system , 2011 .

[24]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[25]  Hamid Reza Karimi,et al.  Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks , 2009 .

[26]  Zheng Pei,et al.  Fuzzy risk analysis based on linguistic aggregation operators , 2011 .

[27]  Shengyuan Xu,et al.  Adaptive Output Feedback Control for Nonlinear Time-Delay Systems by Fuzzy Approximation Approach , 2013, IEEE Transactions on Fuzzy Systems.

[28]  Hamid Reza Karimi,et al.  Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations , 2011 .

[29]  Huijun Gao,et al.  Mixed H2/Hinfinity output-feedback control of second-order neutral systems with time-varying state and input delays. , 2008, ISA transactions.

[30]  Hamid Reza Karimi,et al.  Adaptive H∞ synchronization of master-slave systems with mixed time-varying delays and nonlinear perturbations: An LMI approach , 2011, Int. J. Autom. Comput..

[31]  Mao Ze-hui,et al.  Sliding mode observer-based fault estimation for nonlinear networked control systems , 2008, 2008 27th Chinese Control Conference.

[32]  Hamid Reza Karimi,et al.  Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties , 2009 .

[33]  Han Ho Choi,et al.  Adaptive controller design for uncertain fuzzy systems using variable structure control approach , 2009, Autom..

[34]  Shaocheng Qu,et al.  Stabilization for a class of uncertain multi-time delays system using slide mode controller , 2011 .