Event-Triggered Adaptive Fault Tolerant Control for a Class of Uncertain Nonlinear Systems

This paper considers an adaptive fault-tolerant control problem for a class of uncertain strict feedback nonlinear systems, in which the actuator has an unknown drift fault and the loss of effectiveness fault. Based on the event-triggered theory, the adaptive backstepping technique, and Lyapunov theory, a novel fault-tolerant control strategy is presented. It is shown that an appropriate comprise between the control performance and the sensor data real-time transmission consumption is made, and the fault-tolerant tracking control problem of the strict feedback nonlinear system with uncertain and unknown control direction is solved. The adaptive backstepping method is introduced to compensate the actuator faults. Moreover, a new adjustable event-triggered rule is designed to determine the sampling state instants. The overall control strategy guarantees that the output signal tracks the reference signal, and all the signals of the closed-loop systems are convergent. Finally, the fan speed control system is constructed to demonstrate the validity of the proposed strategy and the application of the general systems.

[1]  Peng Shi,et al.  Cooperative fault-tolerant tracking control of heterogeneous hybrid-order mechanical systems with actuator and amplifier faults , 2019, Nonlinear Dynamics.

[2]  Xu Hong.  Observer-based Sampled-data Control for a Class of Continuous Nonlinear Systems , 2010 .

[3]  Krishna Dev Kumar,et al.  Fault Tolerant Reconfigurable Satellite Formations Using Adaptive Variable Structure Techniques , 2010 .

[4]  Marc Garbey,et al.  Fault tolerant algorithms for heat transfer problems , 2008, J. Parallel Distributed Comput..

[5]  W. P. M. H. Heemels,et al.  Model-based periodic event-triggered control for linear systems , 2013, Autom..

[6]  Anuradha M. Annaswamy,et al.  Robust Adaptive Control , 1984, 1984 American Control Conference.

[7]  Qinglei Hu,et al.  Adaptive backstepping fault-tolerant control for flexible spacecraft with unknown bounded disturbances and actuator failures. , 2010, ISA transactions.

[8]  Mehdi Hosseinzadeh,et al.  Fault-Tolerant Supervisory Controller for a Hybrid AC/DC Micro-Grid , 2018, IEEE Transactions on Smart Grid.

[9]  Qingling Zhang,et al.  Adaptive fuzzy fault-tolerant control with guaranteed tracking performance for nonlinear strict-feedback systems , 2016, Fuzzy Sets Syst..

[10]  Changyin Sun,et al.  Global robust regulation control for a class of cascade nonlinear systems subject to external disturbance , 2017 .

[11]  Hongyi Li,et al.  Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone , 2019, Autom..

[12]  Jin Jiang,et al.  Applications of fault detection and diagnosis methods in nuclear power plants: A review , 2011 .

[13]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

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

[15]  Jianwei Xia,et al.  Adaptive Fuzzy Control With High-Order Barrier Lyapunov Functions for High-Order Uncertain Nonlinear Systems With Full-State Constraints , 2020, IEEE Transactions on Cybernetics.

[16]  Philip A. Wilson,et al.  Adaptive neural network-based backstepping fault tolerant control for underwater vehicles with thruster fault , 2015 .

[17]  Dan Ye,et al.  Integral Sliding Mode Fault-Tolerant Control for Uncertain Linear Systems Over Networks With Signals Quantization , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[18]  Shuzhi Sam Ge,et al.  An Adaptive Backstepping Nonsingular Fast Terminal Sliding Mode Control for Robust Fault Tolerant Control of Robot Manipulators , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[19]  C. Wen,et al.  Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis , 2004, IEEE Transactions on Automatic Control.

[20]  Zehui Mao,et al.  Adaptive Backstepping Based Fault-tolerant Control for High-speed Trains with Actuator Faults , 2019, International Journal of Control, Automation and Systems.

[21]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

[22]  Guang-Hong Yang,et al.  Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures , 2012 .

[23]  Zhong-Ping Jiang,et al.  Event-based control of nonlinear systems with partial state and output feedback , 2015, Autom..

[24]  Shumin Fei,et al.  Global sampled‐data output‐feedback stabilization for nonlinear systems with unknown measurement sensitivity , 2019, International Journal of Robust and Nonlinear Control.

[25]  Jian ZHANG,et al.  Observer-based Sampled-data Control for a Class of Continuous Nonlinear Systems: Observer-based Sampled-data Control for a Class of Continuous Nonlinear Systems , 2011 .

[26]  Youmin Zhang,et al.  Retrofit fault‐tolerant tracking control design of an unmanned quadrotor helicopter considering actuator dynamics , 2019 .

[27]  Shun-Feng Su,et al.  Reduced Adaptive Fuzzy Tracking Control for High-Order Stochastic Nonstrict Feedback Nonlinear System With Full-State Constraints , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Guang-Hong Yang,et al.  Observer-Based Fuzzy Adaptive Event-Triggered Control Codesign for a Class of Uncertain Nonlinear Systems , 2018, IEEE Transactions on Fuzzy Systems.

[29]  Hassan Noura,et al.  Design of passive fault-tolerant controllers of a quadrotor based on sliding mode theory , 2015, Int. J. Appl. Math. Comput. Sci..

[30]  Peng Shi,et al.  Finite-time command filtered backstepping control for a class of nonlinear systems , 2018, Autom..

[31]  Kanjian Zhang,et al.  Fault tolerant control for a general class of nonholonomic dynamic systems via terminal sliding mode , 2017, 2017 29th Chinese Control And Decision Conference (CCDC).

[32]  Xiang Yu,et al.  A survey of fault-tolerant controllers based on safety-related issues , 2015, Annu. Rev. Control..

[33]  JinJiang.  Fault-tolerant Control Systems--An Introductory Overview , 2005 .

[34]  Yongduan Song,et al.  Fault-tolerant finite time consensus for multiple uncertain nonlinear mechanical systems under single-way directed communication interactions and actuation failures , 2016, Autom..

[35]  Shihua Li,et al.  Global stabilization of a class of uncertain upper‐triangular systems under sampled‐data control , 2013 .

[36]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

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

[38]  Enrico Zio,et al.  Fault tolerant predictive control design for reliable microgrid energy management under uncertainties , 2015 .

[39]  Guang-Hong Yang,et al.  Event-Triggered Adaptive Output Feedback Control for a Class of Uncertain Nonlinear Systems With Actuator Failures , 2020, IEEE Transactions on Cybernetics.

[40]  Wei Wu,et al.  Fault Diagnosis and Minimum Rational Entropy Fault Tolerant Control of Stochastic Distribution Collaborative Systems , 2018, Entropy.

[41]  Guang-Hong Yang,et al.  Event‐triggered control for a class of strict‐feedback nonlinear systems , 2019 .