Adaptive finite-time control of a class of non-triangular nonlinear systems with input saturation

This paper studies the problem of adaptive neural network finite-time control for a class of non-triangular nonlinear systems with input saturation. Under the assumption that the nonlinearities have strict increasing smooth bounding functions, the backstepping technique can be used to design the state feedback controller and adaptive laws. Neural networks are adopted to approximate some unknown nonlinear functions. With the help of the finite-time Lyapunov stability theorem, it can be proved that the state of the closed-loop system can converge to an arbitrarily small neighborhood of the origin in a finite time. Finally, a numerical simulation example is given to show the effectiveness of the proposed design method.

[1]  Wei Lin,et al.  Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization , 2001 .

[2]  Yongduan Song,et al.  Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems , 2015, Autom..

[3]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[4]  Fumitoshi Matsuno,et al.  Finite-time observers for multi-agent systems without velocity measurements and with input saturations , 2014, Syst. Control. Lett..

[5]  Hamid Reza Karimi,et al.  Data-Based Modeling of Vehicle Crash Using Adaptive Neural-Fuzzy Inference System , 2014, IEEE/ASME Transactions on Mechatronics.

[6]  Yongduan Song,et al.  Design of adaptive finite-time controllers for nonlinear uncertain systems based on given transient specifications , 2016, Autom..

[7]  Yungang Liu,et al.  Global Finite-Time Stabilization via Time-Varying Feedback for Uncertain Nonlinear Systems , 2014, SIAM J. Control. Optim..

[8]  Ligang Wu,et al.  State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties , 2015, Autom..

[9]  Ji Li,et al.  Global finite-time stabilization by output feedback for planar systems without observable linearization , 2005, IEEE Transactions on Automatic Control.

[10]  Tie Zhang,et al.  Neural network-based robust finite-time control for robotic manipulators considering actuator dynamics , 2013 .

[11]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..

[12]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[13]  Kemei Zhang,et al.  A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system , 2015, Autom..

[14]  Jiahu Qin,et al.  Consensus for constrained multi‐agent systems with input saturation , 2016 .

[15]  Bing Xiao,et al.  Reaction wheel fault tolerant control for spacecraft attitude stabilization with finite‐time convergence , 2013 .

[16]  C. Qian,et al.  Global output feedback stabilization of upper‐triangular nonlinear systems using a homogeneous domination approach , 2006 .

[17]  Hamid Reza Karimi,et al.  Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay , 2016, IEEE Transactions on Cybernetics.

[18]  Wei Lin,et al.  Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems , 2000 .

[19]  Mingjie Cai,et al.  Adaptive neural finite-time control for a class of switched nonlinear systems , 2015, Neurocomputing.

[20]  Wilfrid Perruquetti,et al.  Finite-time stability and stabilization of time-delay systems , 2008, Syst. Control. Lett..

[21]  Mohammad Javad Yazdanpanah,et al.  Robust finite-time stabilization of uncertain nonlinear systems based on partial stability , 2016 .

[22]  Dennis S. Bernstein,et al.  Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty , 2007, Int. J. Control.

[23]  Xiaoping Liu,et al.  Approximation-Based Adaptive Fuzzy Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Time-Delay Systems , 2015, IEEE Transactions on Fuzzy Systems.

[24]  Jun Fu,et al.  Global finite-time stabilisation of a class of switched nonlinear systems , 2015, Int. J. Syst. Sci..

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

[26]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.

[27]  Yiguang Hong,et al.  Adaptive finite-time control of nonlinear systems with parametric uncertainty , 2006, IEEE Transactions on Automatic Control.

[28]  Ligang Wu,et al.  Neural Network-Based Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[29]  Qiang Chen,et al.  Adaptive robust finite-time neural control of uncertain PMSM servo system with nonlinear dead zone , 2016, Neural Computing and Applications.

[30]  Hamid Reza Karimi,et al.  Adaptive output feedback neural network control of uncertain non-affine systems with unknown control direction , 2014, J. Frankl. Inst..

[31]  Tie Zhang,et al.  Adaptive Neural Network Finite-Time Control for Uncertain Robotic Manipulators , 2013, Journal of Intelligent & Robotic Systems.

[32]  Yigang He,et al.  Finite-time tracking control for a class of high-order nonlinear systems and its applications , 2014 .

[33]  Hamid Reza Karimi,et al.  Adaptive Neural Stabilizing Controller for a Class of Mismatched Uncertain Nonlinear Systems by State and Output Feedback , 2015, IEEE Transactions on Cybernetics.

[34]  Yuanqing Xia,et al.  Attitude stabilization of rigid spacecraft with finite‐time convergence , 2011 .

[35]  Zhong-Ping Jiang,et al.  Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties , 2006, IEEE Transactions on Automatic Control.

[36]  Jun Fu,et al.  Finite-time stabilization of a class of output-constrained nonlinear systems , 2015, J. Frankl. Inst..