Fuzzy Adaptive Compensation Control of Uncertain Stochastic Nonlinear Systems With Actuator Failures and Input Hysteresis

Hysteresis exists ubiquitously in physical actuators. Besides, actuator failures/faults may also occur in practice. Both effects would deteriorate the transient tracking performance, and even trigger instability. In this paper, we consider the problem of compensating for actuator failures and input hysteresis by proposing a fuzzy control scheme for stochastic nonlinear systems. Compared with the existing research on stochastic nonlinear uncertain systems, it is found that how to guarantee a prescribed transient tracking performance when taking into account actuator failures and hysteresis simultaneously also remains to be answered. Our proposed control scheme is designed on the basis of the fuzzy logic system and backstepping techniques for this purpose. It is proven that all the signals remain bounded and the tracking error is ensured to be within a preestablished bound with the failures of hysteretic actuator. Finally, simulations are provided to illustrate the effectiveness of the obtained theoretical results.

[1]  Gang Tao,et al.  Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application , 2002, at - Automatisierungstechnik.

[2]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Tracking Control of MIMO Stochastic Nonlinear Systems With Unknown Control Directions and Unknown Dead Zones , 2015, IEEE Transactions on Fuzzy Systems.

[3]  Shaocheng Tong,et al.  Adaptive fuzzy output feedback control of uncertain nonlinear systems with unknown backlash-like hysteresis , 2012, Inf. Sci..

[4]  Wei Wang,et al.  Adaptive Failure Compensation Control for Uncertain Systems With Stochastic Actuator Failures , 2014, IEEE Transactions on Automatic Control.

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

[6]  P. Kokotovic,et al.  Continuous-time adaptive control of systems with unknown backlash , 1995, IEEE Trans. Autom. Control..

[7]  Gang Tao,et al.  An adaptive actuator failure compensation controller using output feedback , 2002, IEEE Trans. Autom. Control..

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

[9]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Backstepping Control for a Class of Stochastic Nonlinear Strict-Feedback Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  Shaocheng Tong,et al.  Hybrid Fuzzy Adaptive Output Feedback Control Design for Uncertain MIMO Nonlinear Systems With Time-Varying Delays and Input Saturation , 2016, IEEE Transactions on Fuzzy Systems.

[11]  Peng Shi,et al.  A new approach to network-based H∞ control for stochastic systems , 2012 .

[12]  Shuzhi Sam Ge,et al.  Adaptive Neural Control for a Class of Nonlinear Systems With Uncertain Hysteresis Inputs and Time-Varying State Delays , 2009, IEEE Transactions on Neural Networks.

[13]  Olaf Klein,et al.  Outwards pointing hysteresis operators and asymptotic behaviour of evolution equations , 2003 .

[14]  Hongye Su,et al.  Adaptive inverse control for parametric strict feedback systems with unknown failures of hysteretic actuators , 2015 .

[15]  Shaocheng Tong,et al.  Adaptive Fuzzy Robust Output Feedback Control of Nonlinear Systems With Unknown Dead Zones Based on a Small-Gain Approach , 2014, IEEE Transactions on Fuzzy Systems.

[16]  Xiaoping Liu,et al.  Robust Adaptive Neural Tracking Control for a Class of Stochastic Nonlinear Interconnected Systems , 2016, IEEE Transactions on Neural Networks and Learning Systems.

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

[18]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis , 2000, IEEE Trans. Autom. Control..

[19]  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.

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

[21]  Tieshan Li,et al.  Adaptive Output Feedback Control of Uncertain Nonlinear Systems With Hysteresis Nonlinearity , 2012, IEEE Transactions on Automatic Control.

[22]  Zhong-Ping Jiang,et al.  Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems , 2007, Autom..

[23]  Yan Lin,et al.  Decentralized adaptive backstepping control for a class of interconnected nonlinear systems with unknown actuator failures , 2015, J. Frankl. Inst..

[24]  Li-Min Zhu,et al.  Modeling and Compensation of Asymmetric Hysteresis Nonlinearity for Piezoceramic Actuators With a Modified Prandtl–Ishlinskii Model , 2014, IEEE Transactions on Industrial Electronics.

[25]  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).

[26]  Bing Chen,et al.  Adaptive neural control for strict-feedback stochastic nonlinear systems with time-delay , 2012, Neurocomputing.

[27]  Jing Zhou,et al.  Decentralized adaptive stabilization in the presence of unknown backlash-like hysteresis , 2007, Autom..

[28]  Bing Chen,et al.  Direct adaptive neural control for stabilization of nonlinear time-delay systems , 2010, Science China Information Sciences.

[29]  Guang-Hong Yang,et al.  Adaptive fuzzy decentralized control fora class of large-scale nonlinear systems , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[30]  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).

[31]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Feedback Control of Pure-Feedback Uncertain Nonlinear Systems With Unknown Dead Zone , 2014, IEEE Transactions on Fuzzy Systems.

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

[33]  Peng Shi,et al.  Adaptive Neural Tracking Control for a Class of Nonlinear Systems With Dynamic Uncertainties , 2017, IEEE Transactions on Cybernetics.

[34]  Ying Zhang,et al.  Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis , 2004, IEEE Trans. Autom. Control..

[35]  Shaocheng Tong,et al.  Adaptive Neural Networks Decentralized FTC Design for Nonstrict-Feedback Nonlinear Interconnected Large-Scale Systems Against Actuator Faults , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Peter Xiaoping Liu,et al.  Adaptive Intelligent Control of Nonaffine Nonlinear Time-Delay Systems With Dynamic Uncertainties , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Shengyuan Xu,et al.  Observer-Based Adaptive Neural Network Control for Nonlinear Stochastic Systems With Time Delay , 2013, IEEE Transactions on Neural Networks and Learning Systems.

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

[39]  Gang Tao,et al.  Adaptive output feedback actuator failure compensation for a class of non‐linear systems , 2005 .

[40]  Hongye Su,et al.  Robust Adaptive Failure Compensation of Hysteretic Actuators for a Class of Uncertain Nonlinear Systems , 2013, IEEE Transactions on Automatic Control.

[41]  Shengyuan Xu,et al.  Neural-Network-Based Decentralized Adaptive Output-Feedback Control for Large-Scale Stochastic Nonlinear Systems , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[42]  Xiaoli Ma,et al.  Adaptive state feedback and tracking control of systems with actuator failures , 2001, IEEE Trans. Autom. Control..

[43]  Hongye Su,et al.  Adaptive failure compensation of hysteric actuators in controlling uncertain nonlinear systems , 2011, Proceedings of the 2011 American Control Conference.

[44]  Subhash Rakheja,et al.  Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis , 2005, IEEE Transactions on Automatic Control.