Dynamic surface error constrained adaptive fuzzy output-feedback control of uncertain nonlinear systems with unmodeled dynamics

In this paper, an adaptive fuzzy output-feedback dynamic surface control (DSC) design with prescribed performance is investigated for a class of uncertain nonlinear systems in strict-feedback form. The considered nonlinear systems contain unknown nonlinear functions, unmodeled dynamics and immeasurable states. The fuzzy logic systems are used to model the unknown nonlinear system, and a fuzzy state observer is designed to estimate the immeasurable states. By transforming the errors into new virtual error variables, and based on DSC backstepping design technique and changing supply function, a new robust adaptive fuzzy output feedback control scheme is developed. It is proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are bounded, and the dynamic surface errors are confined within the prescribed bounds for all times. Two simulation examples are provided to show the effectiveness of the proposed control approach.

[1]  Zhong-Ping Jiang,et al.  Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties , 1998, Autom..

[2]  Shaocheng Tong,et al.  Observer-based fuzzy adaptive control for strict-feedback nonlinear systems , 2009, Fuzzy Sets Syst..

[3]  Shaocheng Tong,et al.  Observer-based fuzzy adaptive robust control of nonlinear systems with time delays and unmodeled dynamics , 2010, Neurocomputing.

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

[5]  Bing Chen,et al.  Novel adaptive neural control design for nonlinear MIMO time-delay systems , 2009, Autom..

[6]  Xin-Ping Guan,et al.  Output feedback control for interconnected time-delay systems with prescribed performance , 2014, Neurocomputing.

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

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

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

[10]  Zhong-Ping Jiang,et al.  A combined backstepping and small-gain approach to adaptive output feedback control , 1999, Autom..

[11]  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).

[12]  Dan Wang,et al.  Single neural network approximation based adaptive control for a class of uncertain strict-feedback nonlinear systems , 2013, 2016 Sixth International Conference on Information Science and Technology (ICIST).

[13]  Tieshan Li,et al.  Adaptive neural control of nonlinear MIMO systems with unknown time delays , 2012, Neurocomputing.

[14]  Shaocheng Tong,et al.  A Combined Backstepping and Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control , 2009, IEEE Transactions on Fuzzy Systems.

[15]  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).

[16]  Shaocheng Tong,et al.  Direct adaptive fuzzy backstepping robust control for single input and single output uncertain nonlinear systems using small-gain approach , 2010, Inf. Sci..

[17]  Xue-Jun Xie,et al.  Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function , 2006 .

[18]  X. Liu,et al.  Adaptive Neural Control of Pure-Feedback Nonlinear Time-Delay Systems via Dynamic Surface Technique , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Xiaocheng Shi,et al.  Adaptive neural tracking control of pure-feedback nonlinear systems , 2012, CCDC 2012.

[20]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Tracking Control of MIMO Nonlinear Uncertain Systems , 2007, IEEE Transactions on Fuzzy Systems.

[21]  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.

[22]  Shuzhi Sam Ge,et al.  Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs , 2007, Autom..

[23]  Qing Zhu,et al.  Adaptive tracking control for input delayed MIMO nonlinear systems , 2010, Neurocomputing.

[24]  Chong Lin,et al.  Adaptive neural tracking control for a class of perturbed pure-feedback nonlinear systems , 2013 .

[25]  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.

[26]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[27]  Huaguang Zhang,et al.  A fuzzy basis function vector-based multivariable adaptive controller for nonlinear systems , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[28]  Tieshan Li,et al.  Adaptive fuzzy control of uncertain MIMO non-linear systems in block-triangular forms , 2011 .

[29]  Licheng Jiao,et al.  Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances , 2010, IEEE Transactions on Fuzzy Systems.

[30]  Zhaoxu Yu,et al.  Neural-network-based output-feedback adaptive dynamic surface control for a class of stochastic nonlinear time-delay systems with unknown control directions , 2014, Neurocomputing.

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

[32]  Qing Zhu,et al.  Adaptive neural tracking control of pure-feedback nonlinear systems , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[33]  Xin-Ping Guan,et al.  Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Time-Delay Systems With Unknown Control Direction , 2009, IEEE Trans. Syst. Man Cybern. Part B.

[34]  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).