Adaptive fault-tolerant control with prescribed performance for switched nonlinear pure-feedback systems

Abstract In this paper, the problem of adaptive fuzzy fault-tolerant control is investigated for a class of switched uncertain pure-feedback nonlinear systems under arbitrary switching. The considered actuator failures are modeled as both lock-in-place and loss of effectiveness. By utilizing mean value theorem, the considered pure-feedback systems are transformed into a class of switched nonlinear strict-feedback systems. Under the framework of backstepping design technique and common Lyapunov function (CLF), an adaptive fuzzy fault-tolerant control (FTC) method with predefined performance bounds is developed. It is proved that under the proposed controller, all the signals of the close-loop systems are bounded and the state tracking error for each step remains within the prescribed performance bound (PPB) regardless of actuator faults and the system switchings. In addition, the tracking errors and magnitudes of control inputs can be reduced by adjusting the PPB parameters of errors in the first and last steps. The simulation results are provided to show the effectiveness of the proposed control scheme.

[1]  Yongming Li,et al.  Observer-Based Adaptive Decentralized Fuzzy Fault-Tolerant Control of Nonlinear Large-Scale Systems With Actuator Failures , 2014, IEEE Transactions on Fuzzy Systems.

[2]  Qingling Zhang,et al.  Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time , 2016, Appl. Math. Comput..

[3]  Gang Feng,et al.  A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part A.

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

[5]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[6]  Charalampos P. Bechlioulis,et al.  Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems , 2009, Autom..

[7]  Bin Li,et al.  Switching control of thrust regulation and inlet buzz protection for ducted rocket , 2010 .

[8]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[9]  Ding Zhai,et al.  Switched Adaptive Fuzzy Tracking Control for a Class of Switched Nonlinear Systems Under Arbitrary Switching , 2018, IEEE Transactions on Fuzzy Systems.

[10]  Suresh M. Joshi,et al.  Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application , 2003, Autom..

[11]  Jin Zhang,et al.  Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback , 2003, IEEE Trans. Neural Networks.

[12]  Shuzhi Sam Ge,et al.  Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form , 2008, Autom..

[13]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[14]  Xingjian Wang,et al.  Teleoperation Control Based on Combination of Wave Variable and Neural Networks , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Huanqing Wang,et al.  Adaptive robust fault-tolerant control for nonlinear systems with prescribed performance , 2015 .

[16]  Nathan van de Wouw,et al.  Reconfigurable control of piecewise affine systems with actuator and sensor faults: Stability and tracking , 2011, Autom..

[17]  Anthony J. Calise,et al.  Adaptive Control of a Class of Nonaffine Systems Using Neural Networks , 2007, IEEE Transactions on Neural Networks.

[18]  Guang-Hong Yang,et al.  Adaptive fuzzy fault tolerant tracking control for a class of uncertain switched nonlinear systems with output constraints , 2016, J. Frankl. Inst..

[19]  Jenq-Lang Wu,et al.  Feedback Stabilization for Multiinput Switched Nonlinear Systems: Two Subsystems Case , 2008, IEEE Transactions on Automatic Control.

[20]  Riccardo Marino,et al.  An extended direct scheme for robust adaptive nonlinear control , 1991, Autom..

[21]  Wang Min,et al.  Tracking performance and global stability guaranteed neural control of uncertain hypersonic flight vehicle , 2017 .

[22]  David G. Taylor,et al.  Adaptive Regulation of Nonlinear Systems with Unmodeled Dynamics , 1988, 1988 American Control Conference.

[23]  Peng Shi,et al.  Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching , 2015, Autom..

[24]  Shaocheng Tong,et al.  Observed-Based Adaptive Fuzzy Decentralized Tracking Control for Switched Uncertain Nonlinear Large-Scale Systems With Dead Zones , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[25]  Shaocheng Tong,et al.  Fuzzy Adaptive Actuator Failure Compensation Control of Uncertain Stochastic Nonlinear Systems With Unmodeled Dynamics , 2014, IEEE Transactions on Fuzzy Systems.

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

[27]  Chun-Yi Su,et al.  Neural Control of Bimanual Robots With Guaranteed Global Stability and Motion Precision , 2017, IEEE Transactions on Industrial Informatics.

[28]  Yongming Li,et al.  Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of MIMO Nonlinear Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Dynamic Surface Control of Interconnected Nonlinear Pure-Feedback Systems , 2015, IEEE Transactions on Cybernetics.

[30]  Yongming Li,et al.  Adaptive output-feedback control design with prescribed performance for switched nonlinear systems , 2017, Autom..

[31]  Shuzhi Sam Ge,et al.  Direct adaptive NN control of a class of nonlinear systems , 2002, IEEE Trans. Neural Networks.

[32]  Alireza Zakariazadeh,et al.  Real-time voltage control algorithm with switched capacitors in smart distribution system in presence of renewable generations , 2014 .

[33]  Jun Zhao,et al.  Synchronization of Complex Dynamical Networks with Switching Topology: a Switched System Point of View , 2008 .

[34]  Charalampos P. Bechlioulis,et al.  Prescribed Performance Adaptive Control for Multi-Input Multi-Output Affine in the Control Nonlinear Systems , 2010, IEEE Transactions on Automatic Control.

[35]  Donghua Zhou,et al.  Robust fault detection for networked systems with communication delay and data missing , 2009, Autom..

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

[37]  James Lam,et al.  Fault Detection for Fuzzy Systems With Intermittent Measurements , 2009, IEEE Transactions on Fuzzy Systems.

[38]  Shuzhi Sam Ge,et al.  Adaptive neural network control for strict-feedback nonlinear systems using backstepping design , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[39]  Shuzhi Sam Ge,et al.  Adaptive NN control of uncertain nonlinear pure-feedback systems , 2002, Autom..

[40]  Wei Wang,et al.  Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance , 2010, Autom..

[41]  Michael Margaliot,et al.  Stability analysis of switched systems using variational principles: An introduction , 2006, Autom..

[42]  Bing Chen,et al.  Direct adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems , 2007, Fuzzy Sets Syst..

[43]  Qingling Zhang,et al.  Fault detection for stochastic parameter-varying Markovian jump systems with application to networked control systems , 2016 .

[44]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control - design and stability analysis , 1994 .

[45]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized control fora class of large-scale nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[46]  Dan Ye,et al.  Adaptive Reliable $H_\infty $ Static Output Feedback Control Against Markovian Jumping Sensor Failures , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[47]  Dan Wang,et al.  Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form , 2002, Autom..

[48]  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.

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

[50]  George A. Rovithakis,et al.  Adaptive Dynamic Output Feedback Neural Network Control of Uncertain MIMO Nonlinear Systems With Prescribed Performance , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[51]  Yanan Li,et al.  Haptic Identification by ELM-Controlled Uncertain Manipulator , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[52]  Gang Feng,et al.  Robust control for a class of uncertain nonlinear systems: adaptive fuzzy approach based on backstepping , 2005, Fuzzy Sets Syst..

[53]  Sung Jin Yoo,et al.  Robust fault-tolerant prescribed performance tracking for uncertain switched pure-feedback nonlinear systems under arbitrary switching , 2017, Int. J. Syst. Sci..

[54]  Shuzhi Sam Ge,et al.  Adaptive Neural Control for a Class of Uncertain Nonlinear Systems in Pure-Feedback Form With Hysteresis Input , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[55]  Yunong Zhang,et al.  Division by zero, pseudo-division by zero, Zhang dynamics method and Zhang-gradient method about control singularity conquering , 2017, Int. J. Syst. Sci..