Adaptive fuzzy event-triggered control for nonstrict-feedback switched stochastic nonlinear systems with state constraints

Due to the frequent occurrence of random disturbances in practical physical systems, the control design of stochastic systems has a significant application background. This article presents an event-triggered adaptive fuzzy control scheme for nonstrict-feedback switched stochastic nonlinear systems with state constraints. The barrier Lyapunov functions are deployed to make all states maintain the prescribed regions. In addition, the event-triggered mechanism is incorporated into the backstepping framework to mitigate the data transmission. The fuzzy logic systems are exploited to cope with the system uncertainties, and then the adaptive fuzzy control strategy is recursively constructed. The devised event-triggered adaptive fuzzy controller can not only surmount the influence of state constraints but also decrease unnecessary resource consumption. In virtue of common Lyapunov function method, it is shown that all system signals are bounded under switching signals and the predefined constraints are not violated. Finally, the validity of the presented scheme is elucidated by simulation results.

[1]  Ben Niu,et al.  Stabilization and L 2 -gain analysis for a class of cascade switched nonlinear systems: An average dwell-time method , 2011 .

[2]  Fei Shen,et al.  Adaptive output-feedback control for a class of stochastic nonlinear systems with unknown control directions and hysteresis input , 2020 .

[3]  Weiguo Sheng,et al.  Adaptive Neural Event-Triggered Control for Discrete-Time Strict-Feedback Nonlinear Systems , 2020, IEEE Transactions on Cybernetics.

[4]  Mohammad Reza Jahed-Motlagh,et al.  Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization , 2009 .

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

[6]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[7]  R. Situ.  Theory of Stochastic Differential Equations with Jumps and Applications: Mathematical and Analytical Techniques with Applications to Engineering , 2005 .

[8]  Shaocheng Tong,et al.  Fuzzy Approximation-Based Adaptive Control of Nonlinear Uncertain State Constrained Systems With Time-Varying Delays , 2020, IEEE Transactions on Fuzzy Systems.

[9]  Shuzhi Sam Ge,et al.  Adaptive Fuzzy Control of a Class of Nonlinear Systems by Fuzzy Approximation Approach , 2012, IEEE Transactions on Fuzzy Systems.

[10]  Bing Chen,et al.  Adaptive neural tracking control for a class of stochastic nonlinear systems , 2014 .

[11]  Yanjun Liu,et al.  Adaptive Fuzzy Output-Feedback Control for Switched Uncertain Nonlinear Systems With Full-State Constraints , 2021, IEEE Transactions on Cybernetics.

[12]  Yujia Wang,et al.  Adaptive Fuzzy Tracking Control for a Class of Strict-Feedback Nonlinear Systems With Time-Varying Input Delay and Full State Constraints , 2020, IEEE Transactions on Fuzzy Systems.

[13]  Shen Yin,et al.  Fault-Tolerant Control of Time-Delay Markov Jump Systems With $It\hat{o}$ Stochastic Process and Output Disturbance Based on Sliding Mode Observer , 2018, IEEE Transactions on Industrial Informatics.

[14]  P. Kokotovic,et al.  Adaptive nonlinear design with controller-identifier separation and swapping , 1995, IEEE Trans. Autom. Control..

[15]  Shen Yin,et al.  Real-Time Monitoring and Control of Industrial Cyberphysical Systems: With Integrated Plant-Wide Monitoring and Control Framework , 2019, IEEE Industrial Electronics Magazine.

[16]  S. Tong,et al.  Observer-Based Neuro-Adaptive Optimized Control of Strict-Feedback Nonlinear Systems With State Constraints , 2021, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Pavankumar Tallapragada,et al.  Decentralized Event-Triggering for Control of Nonlinear Systems , 2013, IEEE Transactions on Automatic Control.

[18]  Jianbin Qiu,et al.  Adaptive Fuzzy Control for Nontriangular Structural Stochastic Switched Nonlinear Systems With Full State Constraints , 2019, IEEE Transactions on Fuzzy Systems.

[19]  Shaocheng Tong,et al.  Adaptive Fuzzy Control Design for Stochastic Nonlinear Switched Systems With Arbitrary Switchings and Unmodeled Dynamics , 2017, IEEE Transactions on Cybernetics.

[20]  Wei Wang,et al.  Adaptive Tracking Control for a Class of Stochastic Uncertain Nonlinear Systems With Input Saturation , 2017, IEEE Transactions on Automatic Control.

[21]  Yuanqing Xia,et al.  Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching , 2008, 2008 27th Chinese Control Conference.

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

[23]  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..

[24]  Weihai Zhang,et al.  Adaptive fuzzy control for pure-feedback stochastic nonlinear systems with unknown dead zone outputs , 2018, Int. J. Syst. Sci..

[25]  Hao Wang,et al.  Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems , 2019, IEEE Access.

[26]  Peng Shi,et al.  Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone , 2015, Autom..

[27]  Yuchen Jiang,et al.  Adaptive Fuzzy Fault-Tolerant Control for Markov Jump Systems With Additive and Multiplicative Actuator Faults , 2021, IEEE Transactions on Fuzzy Systems.

[28]  Gang Feng,et al.  Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems , 2018, Autom..

[29]  Hybrid filter design of fault detection for networked linear systems with variable packet dropout rate , 2019, IET Control Theory & Applications.

[30]  Peng Shi,et al.  Observer-Based Event-Triggered Approach for Stochastic Networked Control Systems Under Denial of Service Attacks , 2021, IEEE Transactions on Control of Network Systems.

[31]  Shaocheng Tong,et al.  Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems , 2020, Science China Information Sciences.

[32]  Yingnan Pan,et al.  Event-Triggered Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Unmeasured States and Unknown Backlash-Like Hysteresis , 2021, IEEE transactions on fuzzy systems.

[33]  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.

[34]  Ju H Park,et al.  Robust Adaptive Fault-Tolerant Tracking Control for Nonaffine Stochastic Nonlinear Systems With Full-State Constraints , 2020, IEEE Transactions on Cybernetics.

[35]  Chenguang Yang,et al.  NN-Based Adaptive Tracking Control of Discrete-Time Nonlinear Systems With Actuator Saturation and Event-Triggering Protocol , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[36]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Feedback Stabilization Control for a Class of Switched Nonstrict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Cybernetics.

[37]  Yan Shi,et al.  Rate Bumpless Transfer Control for Switched Linear Systems With Stability and Its Application to Aero-Engine Control Design , 2020, IEEE Transactions on Industrial Electronics.

[38]  C. L. Philip Chen,et al.  Adaptive Fuzzy Control for a Class of Stochastic Pure-Feedback Nonlinear Systems With Unknown Hysteresis , 2016, IEEE Transactions on Fuzzy Systems.

[39]  Zhi Liu,et al.  Neural Adaptive Event-Triggered Control for Nonlinear Uncertain Stochastic Systems With Unknown Hysteresis , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[40]  Peter Kuster,et al.  Nonlinear And Adaptive Control Design , 2016 .

[41]  Wei Xing Zheng,et al.  Multiple Lyapunov Functions Analysis Approach for Discrete-Time-Switched Piecewise-Affine Systems Under Dwell-Time Constraints , 2020, IEEE Transactions on Automatic Control.

[42]  Licheng Jiao,et al.  Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[43]  Bing Chen,et al.  Neural-Based Adaptive Output-Feedback Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Systems , 2015, IEEE Transactions on Cybernetics.

[44]  Shaocheng Tong,et al.  Adaptive control-based Barrier Lyapunov Functions for a class of stochastic nonlinear systems with full state constraints , 2018, Autom..

[45]  Weiguo Sheng,et al.  Event-Based Adaptive Neural Tracking Control for Discrete-Time Stochastic Nonlinear Systems: A Triggering Threshold Compensation Strategy , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[46]  Shaocheng Tong,et al.  Robust adaptive fuzzy control for a class of stochastic nonlinear systems with dynamical uncertainties , 2012, J. Frankl. Inst..

[47]  Yan-Jun Liu,et al.  Neural Network Controller Design for a Class of Nonlinear Delayed Systems With Time-Varying Full-State Constraints , 2019, IEEE Transactions on Neural Networks and Learning Systems.

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

[49]  Fuad E. Alsaadi,et al.  Adaptive Neural State-Feedback Tracking Control of Stochastic Nonlinear Switched Systems: An Average Dwell-Time Method , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[50]  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.

[51]  Tong Wang,et al.  Event-Triggered Adaptive Fuzzy Tracking Control for Pure-Feedback Stochastic Nonlinear Systems With Multiple Constraints , 2021, IEEE Transactions on Fuzzy Systems.

[52]  Shaocheng Tong,et al.  Adaptive Fuzzy Tracking Control Design for SISO Uncertain Nonstrict Feedback Nonlinear Systems , 2016, IEEE Transactions on Fuzzy Systems.

[53]  Hongli Dong,et al.  A Novel Framework for Backstepping-Based Control of Discrete-Time Strict-Feedback Nonlinear Systems With Multiplicative Noises , 2021, IEEE Transactions on Automatic Control.

[54]  Jun Zhao,et al.  Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings , 2010, Autom..