Quantized feedback fuzzy sliding mode control design via memory-based strategy

This paper is concerned with the sliding mode control (SMC) design for a class of Takagi-Sugeno (T-S) fuzzy nonlinear systems subject to model uncertainties and input quantization mismatch. A novel memory-based sliding surface is presented which includes not only the current states but also the past state information of the systems. Sufficient conditions for the design of the switching gains are given via linear matrix inequality(LMI) technique, and then the reaching conditions of the sliding surface is constructed to ensure the reachability of the sliding manifold. Furthermore, an adaptive neuro-fuzzy inference system(ANFIS) is introduced for reducing the high-frequency chattering induced by the signum function term in the sliding mode control. The effectiveness of the proposed methodology is illustrated by Matlab simulations.

[1]  Dan Ye,et al.  Quantized Feedback Control Design of Nonlinear Large-Scale Systems via Decentralized Adaptive Integral Sliding Mode Control , 2015 .

[2]  Guanghong Yang,et al.  Distributed adaptive fault-tolerant containment control for a class of multi-agent systems with non-identical matching non-linear functions , 2016 .

[3]  Yuanqing Xia,et al.  Robust H ∞ networked control for discrete-time fuzzy systems with state quantisation , 2012, Int. J. Syst. Sci..

[4]  Qi Zhou,et al.  Robust control of uncertain semi-Markovian jump systems using sliding mode control method , 2016, Appl. Math. Comput..

[5]  Dragan Nesic,et al.  Robustness of quantized control systems with mismatch between coder/decoder initializations , 2009, Autom..

[6]  Qing-chun Li,et al.  Adaptive neuro-fuzzy sliding mode control guidance law with impact angle constraint , 2015 .

[7]  C. L. Philip Chen,et al.  Adaptive fuzzy quantized control of time-delayed nonlinear systems with communication constraint , 2017, Fuzzy Sets Syst..

[8]  Xinghuo Yu,et al.  Quantization Behaviors in Equivalent-Control Based Sliding-Mode Control Systems , 2013 .

[9]  Dimitri Peaucelle,et al.  Periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems , 2011, Autom..

[10]  Lihua Xie,et al.  Distributed Coordination of Multi-Agent Systems With Quantized-Observer Based Encoding-Decoding , 2012, IEEE Transactions on Automatic Control.

[11]  Jianjun Bai,et al.  Quantized Observer-Based Sliding Mode Control for Networked Control Systems Via the Time-Delay Approach , 2016, Circuits Syst. Signal Process..

[12]  Guang-Hong Yang,et al.  Reliable State Feedback Control of T–S Fuzzy Systems With Sensor Faults , 2015, IEEE Transactions on Fuzzy Systems.

[13]  Han Ho Choi,et al.  Fuzzy Sliding Mode Speed Controller for PM Synchronous Motors With a Load Torque Observer , 2012, IEEE Transactions on Power Electronics.

[14]  Minyue Fu,et al.  Identification of ARMA models using intermittent and quantized output observations , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[15]  Dong Yue,et al.  Further Studies on Control Synthesis of Discrete-Time T–S Fuzzy Systems via Useful Matrix Equalities , 2014, IEEE Transactions on Fuzzy Systems.

[16]  Hak-Keung Lam,et al.  Model reduction for interval type-2 Takagi-Sugeno fuzzy systems , 2015, Autom..

[17]  P. D. Shendge,et al.  Disturbance observer based sliding mode control of nonlinear mismatched uncertain systems , 2015, Commun. Nonlinear Sci. Numer. Simul..

[18]  Jianwei Xia,et al.  Networked control system with asynchronous samplings and quantizations in both transmission and receiving channels , 2017, Neurocomputing.

[19]  Ju H. Park,et al.  Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties , 2016, Appl. Math. Comput..

[20]  Hongwei Wang,et al.  Guaranteed cost sliding mode control for discrete-time looper systems in hot strip finishing mills , 2016 .

[21]  Shijie Zhang,et al.  Sliding mode control of quantized systems against bounded disturbances , 2014, Inf. Sci..

[22]  Maria Letizia Corradini,et al.  On the robust quantized feedback stabilization of linear systems , 2007, 2007 European Control Conference (ECC).

[23]  Gang Feng,et al.  Analysis and Synthesis of Memory-Based Fuzzy Sliding Mode Controllers , 2015, IEEE Transactions on Cybernetics.

[24]  Ju H. Park,et al.  H∞ tracking of uncertain stochastic time-delay systems: Memory state-feedback controller design , 2014, Appl. Math. Comput..

[25]  Guang-Hong Yang,et al.  Nonfragile $H_{\infty}$ Filter Design for T–S Fuzzy Systems in Standard Form , 2014, IEEE Transactions on Industrial Electronics.

[26]  Rong-Jong Wai,et al.  Observer-based adaptive fuzzy-neural-network control for hybrid maglev transportation system , 2016, Neurocomputing.

[27]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[28]  Jyh-Shing Roger Jang,et al.  Self-learning fuzzy controllers based on temporal backpropagation , 1992, IEEE Trans. Neural Networks.

[29]  Guang-Hong Yang,et al.  Quantised feedback sliding mode control of linear uncertain systems , 2014 .

[30]  Yinhe Wang,et al.  Stabilising control for a class of chaotic systems based on adaptive fuzzy logic systems , 2016 .

[31]  Qingling Zhang,et al.  Stability analysis and state feedback control of continuous-time T-S fuzzy systems via anew switched fuzzy Lyapunov function approach , 2017, Appl. Math. Comput..

[32]  S. V. Salehi,et al.  Improvement of system performance by the use of time-delay elements , 1982 .

[33]  Lei Zhou,et al.  Synchronization of chaotic Lur'e systems with quantized sampled-data controller , 2014, Commun. Nonlinear Sci. Numer. Simul..

[34]  Xiao-Mei Liu,et al.  Sliding Sector-Based Variable Structure Control of Continuous-Time Markov Jump Linear Systems Subject to Unknown Transition Rates , 2013 .

[35]  Dong Yue,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems via a Multi-Instant Homogenous Polynomial Approach , 2016, IEEE Transactions on Cybernetics.

[36]  Peng Shi,et al.  Extended sliding mode observer based control for Markovian jump linear systems with disturbances , 2016, Autom..

[37]  Shaocheng Tong,et al.  Fuzzy adaptive quantized output feedback tracking control for switched nonlinear systems with input quantization , 2016, Fuzzy Sets Syst..

[38]  Ju H. Park,et al.  Adaptive synchronization for uncertain chaotic neural networks with mixed time delays using fuzzy disturbance observer , 2013, Appl. Math. Comput..

[39]  Yonggui Kao,et al.  Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates , 2016, Appl. Math. Comput..

[40]  Jianqiao Sun,et al.  Sliding mode control experiments of uncertain dynamical systems with time delay , 2013, Commun. Nonlinear Sci. Numer. Simul..

[41]  Ligang Wu,et al.  Fault Detection for T-S Fuzzy Time-Delay Systems: Delta Operator and Input-Output Methods , 2015, IEEE Transactions on Cybernetics.

[42]  Guanghong Yang,et al.  Fault-tolerant control via sliding-mode output feedback for uncertain linear systems with quantisation , 2013 .

[43]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

[44]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[45]  Hu Xiaohui,et al.  Stock Market Trading Rules Discovery Based on Biclustering Method , 2015 .

[46]  Guang-Hong Yang,et al.  H∞ controller design for affine fuzzy systems based on piecewise Lyapunov functions in finite-frequency domain , 2016, Fuzzy Sets Syst..

[47]  Ju H. Park,et al.  Robust static output feedback H∞ control for uncertain fuzzy systems , 2015, Fuzzy Sets Syst..

[48]  Libing Wu,et al.  Cooperative adaptive fuzzy control for a class of uncertain non-linear multi-agent systems with time delays , 2017 .

[49]  Huaguang Zhang,et al.  Stability Analysis of T–S Fuzzy Control Systems by Using Set Theory , 2015, IEEE Transactions on Fuzzy Systems.

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

[51]  Hui Li,et al.  An SOC estimation approach based on adaptive sliding mode observer and fractional order equivalent circuit model for lithium-ion batteries , 2015, Commun. Nonlinear Sci. Numer. Simul..

[52]  Jianliang Wang,et al.  Quantized insensitive consensus of Lipschitz nonlinear multi-agent systems using the incidence matrix , 2015, J. Frankl. Inst..

[53]  Yugang Niu,et al.  Networked predictive control of constrained linear systems with input quantisation , 2013, Int. J. Syst. Sci..