Robust Decentralized Adaptive Neural Control for a Class of Nonaffine Nonlinear Large-Scale Systems with Unknown Dead Zones

The problem of robust decentralized adaptive neural stabilization control is investigated for a class of nonaffine nonlinear interconnected large-scale systems with unknown dead zones. In the controller design procedure, radical basis function (RBF) neural networks are applied to approximate packaged unknown nonlinearities and then an adaptive neural decentralized controller is systematically derived without requiring any information on the boundedness of dead zone parameters (slopes and break points). It is proven that the developed control scheme can ensure that all the signals in the closed-loop system are semiglobally uniformly ultimately bounded in the sense of mean square. Simulation study is provided to further demonstrate the effectiveness of the developed control scheme.

[1]  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.

[2]  Hamid Reza Karimi,et al.  Robust Control of Continuous-Time Systems With State-Dependent Uncertainties and Its Application to Electronic Circuits , 2014, IEEE Transactions on Industrial Electronics.

[3]  Hak-Keung Lam,et al.  Fuzzy Sampled-Data Control for Uncertain Vehicle Suspension Systems , 2014, IEEE Transactions on Cybernetics.

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

[5]  Steven X. Ding,et al.  Real-Time Implementation of Fault-Tolerant Control Systems With Performance Optimization , 2014, IEEE Transactions on Industrial Electronics.

[6]  Hamid Reza Karimi,et al.  Novel Stability Criteria for T--S Fuzzy Systems , 2014, IEEE Transactions on Fuzzy Systems.

[7]  Hamid Reza Karimi,et al.  Output-Feedback-Based $H_{\infty}$ Control for Vehicle Suspension Systems With Control Delay , 2014, IEEE Transactions on Industrial Electronics.

[8]  Peng Shi,et al.  Fuzzy-Model-Based Fault-Tolerant Design for Nonlinear Stochastic Systems Against Simultaneous Sensor and Actuator Faults , 2013, IEEE Transactions on Fuzzy Systems.

[9]  Fuwen Yang,et al.  Quantized H∞ Control for Networked Systems with Communication Constraints , 2013 .

[10]  Honghai Liu,et al.  Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy Approach , 2013, IEEE Transactions on Industrial Electronics.

[11]  Chong Lin,et al.  Direct adaptive neural tracking control for a class of stochastic pure‐feedback nonlinear systems with unknown dead‐zone , 2013 .

[12]  Peng Shi,et al.  Fault Estimation and Tolerant Control for Fuzzy Stochastic Systems , 2013, IEEE Transactions on Fuzzy Systems.

[13]  Bing Chen,et al.  Approximation-based adaptive fuzzy control for a class of non-strict-feedback stochastic nonlinear systems , 2013, Science China Information Sciences.

[14]  Huanqing Wang,et al.  Adaptive fuzzy decentralized control for a class of large-scale stochastic nonlinear systems , 2013, Neurocomputing.

[15]  Fuwen Yang,et al.  Observer-based H ∞ control for discrete-time stochastic systems with quantisation and random communication delays , 2013 .

[16]  Bing Chen,et al.  Robust Adaptive Fuzzy Tracking Control for Pure-Feedback Stochastic Nonlinear Systems With Input Constraints , 2013, IEEE Transactions on Cybernetics.

[17]  Hamid Reza Karimi,et al.  Stability of Stochastic Nonlinear Systems With State-Dependent Switching , 2013, IEEE Transactions on Automatic Control.

[18]  Gin-Der Wu,et al.  A Vectorization-Optimization-Method-Based Type-2 Fuzzy Neural Network for Noisy Data Classification , 2013, IEEE Transactions on Fuzzy Systems.

[19]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.

[20]  Chen Bing,et al.  Adaptive neural tracking control for a class of stochastic nonlinear systems with unknown dead zone , 2013 .

[21]  Ismail Boumhidi,et al.  ADAPTIVE DECENTRALIZED SLIDING MODE NEURAL NETWORK CONTROL OF A CLASS OF NONLINEAR INTERCONNECTED SYSTEMS , 2013 .

[22]  M. Chadli,et al.  A NEW APPROACH FOR FUZZY PREDICTIVE ADAPTIVE CONTROLLER DESIGN USING PARTICLE SWARM OPTIMIZATION ALGORITHM , 2013 .

[23]  Yongduan Song,et al.  A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay , 2012, IEEE Transactions on Fuzzy Systems.

[24]  Ping Zhang,et al.  A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process , 2012 .

[25]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Tracking Backstepping Control of Strict-Feedback Nonlinear Systems With Unknown Dead Zones , 2012, IEEE Transactions on Fuzzy Systems.

[26]  Xiao-Shi Xiao,et al.  Decentralized adaptive tracking control of nonaffine nonlinear large-scale systems with time delays , 2011, Inf. Sci..

[27]  Liang Liu,et al.  Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay , 2011, Autom..

[28]  Hao Zhang,et al.  Quantized Control Design for Impulsive Fuzzy Networked Systems , 2011, IEEE Transactions on Fuzzy Systems.

[29]  Tao Liu,et al.  Fuzzy Controller Design for Nonlinear Impulsive Fuzzy Systems With Time Delay , 2011, IEEE Transactions on Fuzzy Systems.

[30]  S. C. Tong,et al.  Adaptive Neural Network Decentralized Backstepping Output-Feedback Control for Nonlinear Large-Scale Systems With Time Delays , 2011, IEEE Transactions on Neural Networks.

[31]  Weisheng Chen,et al.  Adaptive NN output‐feedback decentralized stabilization for a class of large‐scale stochastic nonlinear strict‐feedback systems , 2011 .

[32]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[33]  Shaocheng Tong,et al.  Fuzzy-Adaptive Decentralized Output-Feedback Control for Large-Scale Nonlinear Systems With Dynamical Uncertainties , 2010, IEEE Transactions on Fuzzy Systems.

[34]  Mohammad Bagher Menhaj,et al.  Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks , 2010, Inf. Sci..

[35]  Xue-Jun Xie,et al.  Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power: Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power , 2010 .

[36]  Xue-Jun Xie,et al.  Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power , 2010 .

[37]  Shuzhi Sam Ge,et al.  Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems With Input Nonlinearities , 2010, IEEE Transactions on Neural Networks.

[38]  Shaocheng Tong,et al.  A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[39]  Shaocheng Tong,et al.  Robust Adaptive Tracking Control for Nonlinear Systems Based on Bounds of Fuzzy Approximation Parameters , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[40]  Shuzhi Sam Ge,et al.  Approximation-based adaptive tracking control of pure-feedback nonlinear systems with multiple unknown time-varying delays , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[41]  Huaicheng Yan,et al.  Robust $H_{\infty}$ Filtering for Switched Stochastic System With Missing Measurements , 2009, IEEE Transactions on Signal Processing.

[42]  Xiaoping Liu,et al.  Direct adaptive fuzzy control of nonlinear strict-feedback systems , 2009, Autom..

[43]  Jing Zhou,et al.  Decentralized Backstepping Adaptive Output Tracking of Interconnected Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

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

[45]  Junmin Li,et al.  Decentralized Output-Feedback Neural Control for Systems With Unknown Interconnections , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[46]  F. G. Shinskey,et al.  2.19 Nonlinear and Adaptive Control , 2008 .

[47]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[48]  Shuzhi Sam Ge,et al.  An ISS-modular approach for adaptive neural control of pure-feedback systems , 2006, Autom..

[49]  Ying Zhang,et al.  Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity , 2006, IEEE Transactions on Automatic Control.

[50]  Chen Bin,et al.  Fuzzy adaptive output feedback control for MIMO nonlinear systems , 2005, Fuzzy Sets Syst..

[51]  Alan S. I. Zinober,et al.  Nonlinear and Adaptive Control , 2003 .

[52]  Lilong Cai,et al.  Decentralized nonlinear adaptive control of an HVAC system , 2002 .

[53]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[54]  F. J. Narcowich,et al.  Persistency of Excitation in Identification Using Radial Basis Function Approximants , 1995 .

[55]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[56]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[57]  T. Apostol.  Mathematical Analysis , 1957 .