Event-Triggered Finite-Time Adaptive Fuzzy Tracking Control for Stochastic Nontriangular Structure Nonlinear Systems

This article discusses the problem of event-triggered finite-time control (ETFTC) for a class of stochastic nontriangular structure nonlinear systems. By employing the Mean Value Theorem, the stochastic nontriangular structure nonlinear systems are transformed into the equivalent systems with affine structure. Fuzzy logic systems (FLSs) are utilized to identify the unknown nonlinear functions. A finite-time performance function (FTPF) is introduced in the backstepping design process to guarantee that the tracking error satisfies the predefined performance in a finite time. An improved event-triggered control mechanism is introduced to reduce the communication burden from the controller to the actuator. Furthermore, the results show that all the signals in the closed-loop system are bounded in probability, and the tracking error is confined to a given set at any settling time. The effectiveness and suitability of the proposed method are verified by two simulations.

[1]  Yumei Sun,et al.  Adaptive neural control for a class of stochastic nonlinear systems by backstepping approach , 2016, Inf. Sci..

[2]  Xiaoping Liu,et al.  Finite-time prescribed performance adaptive fuzzy control for unknown nonlinear systems , 2021, Fuzzy Sets Syst..

[3]  Huanqing Wang,et al.  Adaptive Neural Network Prescribed Performance Bounded- $H_{\infty}$ Tracking Control for a Class of Stochastic Nonlinear Systems , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Yanli Liu,et al.  Adaptive Fuzzy Tracking Control of Nonlinear Switched Stochastic Systems With Prescribed Performance and Unknown Control Directions , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[5]  Jianwei Xia,et al.  Event-triggered adaptive fuzzy tracking control for stochastic nonlinear systems , 2020, J. Frankl. Inst..

[6]  Shaocheng Tong,et al.  Observer-based fuzzy adaptive prescribed performance tracking control for nonlinear stochastic systems with input saturation , 2015, Neurocomputing.

[7]  Hongye Su,et al.  Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[8]  Guang-Hong Yang,et al.  Event-Triggered Global Finite-Time Control for a Class of Uncertain Nonlinear Systems , 2020, IEEE Transactions on Automatic Control.

[9]  Shuzhi Sam Ge,et al.  Globally Stable Adaptive Backstepping Neural Network Control for Uncertain Strict-Feedback Systems With Tracking Accuracy Known a Priori , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[10]  Shaocheng Tong,et al.  Fuzzy Adaptive Finite-Time Control Design for Nontriangular Stochastic Nonlinear Systems , 2019, IEEE Transactions on Fuzzy Systems.

[11]  Fang Wang,et al.  Neural network-based finite-time control of quantized stochastic nonlinear systems , 2019, Neurocomputing.

[12]  Shugang Li,et al.  Adaptive Neural Output Feedback Control for Nonstrict-Feedback Stochastic Nonlinear Systems With Unknown Backlash-Like Hysteresis and Unknown Control Directions , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[13]  Yang Liu,et al.  A Novel Finite-Time Adaptive Fuzzy Tracking Control Scheme for Nonstrict Feedback Systems , 2019, IEEE Transactions on Fuzzy Systems.

[14]  Okyay Kaynak,et al.  Event-Triggered Fuzzy Adaptive Leader-Following Tracking Control of Nonaffine Multiagent Systems With Finite-Time Output Constraint and Input Saturation , 2021, IEEE Transactions on Fuzzy Systems.

[15]  Jianbin Qiu,et al.  Network-Based Fuzzy Control for Nonlinear Industrial Processes With Predictive Compensation Strategy , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[16]  Zhong-Ping Jiang,et al.  A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems , 2015, IEEE Transactions on Automatic Control.

[17]  Renquan Lu,et al.  Prescribed Performance Observer-Based Adaptive Fuzzy Control for Nonstrict-Feedback Stochastic Nonlinear Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[18]  Zhihong Man,et al.  Finite-time stabilization of stochastic nonlinear systems in strict-feedback form , 2013, Autom..

[19]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[20]  Xin-Ping Guan,et al.  Decentralized Output Feedback Adaptive NN Tracking Control for Time-Delay Stochastic Nonlinear Systems With Prescribed Performance , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Gangqiang Zhang,et al.  Uncertainty Measurement for a Fuzzy Relation Information System , 2019, IEEE Transactions on Fuzzy Systems.

[22]  C. L. Philip Chen,et al.  Event-Trigger-Based Finite-Time Fuzzy Adaptive Control for Stochastic Nonlinear System With Unmodeled Dynamics , 2021, IEEE Transactions on Fuzzy Systems.

[23]  Shaocheng Tong,et al.  A Novel Adaptive NN Prescribed Performance Control for Stochastic Nonlinear Systems , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[24]  Qing-Long Han,et al.  Synchronization Control for a Class of Discrete-Time Dynamical Networks With Packet Dropouts: A Coding–Decoding-Based Approach , 2018, IEEE Transactions on Cybernetics.

[25]  Huan Li,et al.  Adaptive Control for Stochastic Switched Nonlower Triangular Nonlinear Systems and Its Application to a One-Link Manipulator , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[26]  Xiaoping Liu,et al.  Finite-time adaptive tracking control for unknown nonlinear systems with a novel barrier Lyapunov function , 2020, Inf. Sci..

[27]  Grienggrai Rajchakit,et al.  Finite-time event-triggered approach for recurrent neural networks with leakage term and its application , 2021, Math. Comput. Simul..

[28]  Xiao Wang,et al.  A novel alleviating fuzzy control algorithm for a class of nonlinear stochastic systems in pure-feedback form , 2020, Fuzzy Sets Syst..

[29]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Constrained Fault-Tolerant Control of Nonlinear Stochastic Large-Scale Systems With Actuator Faults , 2017, IEEE Transactions on Cybernetics.

[30]  Feifei Yang,et al.  Decentralized adaptive neural prescribed performance control for high-order stochastic switched nonlinear interconnected systems with unknown system dynamics. , 2019, ISA transactions.

[31]  Krishna R. Pattipati,et al.  A Markov Chain-Based Testability Growth Model With a Cost-Benefit Function , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[32]  Hongjing Liang,et al.  Adaptive Fuzzy Event-Triggered Control for Stochastic Nonlinear Systems With Full State Constraints and Actuator Faults , 2019, IEEE Transactions on Fuzzy Systems.

[33]  Xin Yu,et al.  Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise , 2020, Appl. Math. Comput..

[34]  Hongjing Liang,et al.  Observer-Based Adaptive Fuzzy Fault-Tolerant Control for Stochastic Nonstrict-Feedback Nonlinear Systems With Input Quantization , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[35]  Zahra Namadchian,et al.  Observer-based adaptive neural control for switched stochastic pure-feedback systems with input saturation , 2020, Neurocomputing.

[36]  C. L. Philip Chen,et al.  Fuzzy Adaptive Quantized Control for a Class of Stochastic Nonlinear Uncertain Systems , 2016, IEEE Transactions on Cybernetics.

[37]  Xiaoping Liu,et al.  Direct Adaptive Preassigned Finite-Time Control With Time-Delay and Quantized Input Using Neural Network , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[38]  Feifei Yang,et al.  Adaptive neural prescribed performance control for a class of strict-feedback stochastic nonlinear systems with hysteresis input , 2017, Neurocomputing.

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

[40]  Paulo Tabuada,et al.  To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[41]  Yongchao Liu,et al.  Adaptive neural network control for time-varying state constrained nonlinear stochastic systems with input saturation , 2020, Inf. Sci..

[42]  C. L. Philip Chen,et al.  Finite-Time Adaptive Quantized Control of Stochastic Nonlinear Systems With Input Quantization: A Broad Learning System Based Identification Method , 2020, IEEE Transactions on Industrial Electronics.

[43]  Peter Xiaoping Liu,et al.  Robust Fuzzy Adaptive Tracking Control for Nonaffine Stochastic Nonlinear Switching Systems , 2018, IEEE Transactions on Cybernetics.

[44]  Yungang Liu,et al.  Practical Tracking Via Adaptive Event-Triggered Feedback for Uncertain Nonlinear Systems , 2019, IEEE Transactions on Automatic Control.

[45]  Yongchao Liu,et al.  Adaptive neural network output feedback control for stochastic nonlinear systems with full state constraints. , 2020, ISA transactions.

[46]  Xiaoping Liu,et al.  Event-triggering based adaptive neural tracking control for a class of pure-feedback systems with finite-time prescribed performance , 2020, Neurocomputing.

[47]  Xiaoping Liu,et al.  Event-triggered finite-time adaptive neural control for nonlinear non-strict-feedback time-delay systems with disturbances , 2020, Inf. Sci..

[48]  Wei Sun,et al.  Finite-Time Command Filtered Event-Triggered Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Systems , 2021, IEEE Transactions on Fuzzy Systems.

[49]  Yang Liu,et al.  Adaptive neural networks finite-time tracking control for non-strict feedback systems via prescribed performance , 2018, Inf. Sci..

[50]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[51]  Zheng-Guang Wu,et al.  Adaptive Neural Dynamic Surface Control With Prespecified Tracking Accuracy of Uncertain Stochastic Nonstrict-Feedback Systems , 2020, IEEE Transactions on Cybernetics.

[52]  M. Krstić,et al.  Stochastic nonlinear stabilization—I: a backstepping design , 1997 .