Indirect adaptive fuzzy control for input and output constrained nonlinear systems using a barrier Lyapunov function

In this paper, a novel indirect adaptive fuzzy controller is proposed for a class of uncertain nonlinear systems with input and output constrains. To address output and input constraints, a barrier Lyapunov function and an auxiliary design system are employed, respectively. The proposed approach is explored by employing fuzzy logic systems to tackle unknown nonlinear functions and combining the adaptive backstepping technique with adaptive fuzzy control design. Especially, the number of the online learning parameters are reduced to 2n in the closed-loop system. It is proved that the proposed control approach can guarantee that all the signals in the closed-loop system are bounded, and the input and output constraints are circumvented simultaneously. A numerical example with comparisons is provided to illustrate the effectiveness of the proposed approach. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  Keng Peng Tee,et al.  Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function , 2010, IEEE Transactions on Neural Networks.

[2]  Jacek M. Zurada,et al.  Adaptive neural network control of uncertain nonlinear systems with nonsmooth actuator nonlinearities , 2007, Neurocomputing.

[3]  Bor-Sen Chen,et al.  H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach , 1996, IEEE Trans. Fuzzy Syst..

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

[5]  Guangquan Zhang,et al.  A ${\bm \lambda}$-Cut and Goal-Programming-Based Algorithm for Fuzzy-Linear Multiple-Objective Bilevel Optimization , 2010, IEEE Transactions on Fuzzy Systems.

[6]  Jun Zhao,et al.  Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function , 2013, Int. J. Syst. Sci..

[7]  Shengyuan Xu,et al.  Adaptive Output-Feedback Fuzzy Tracking Control for a Class of Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

[8]  Tieshan Li,et al.  Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation , 2011, Neurocomputing.

[9]  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).

[10]  Keng Peng Tee,et al.  Control of nonlinear systems with time-varying output constraints , 2009, 2009 IEEE International Conference on Control and Automation.

[11]  Keng Peng Tee,et al.  Adaptive Control of Electrostatic Microactuators With Bidirectional Drive , 2009, IEEE Transactions on Control Systems Technology.

[12]  Min Wu,et al.  Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems , 2011, Inf. Sci..

[13]  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.

[14]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[15]  Jing Zhou,et al.  Decentralized adaptive control for large-scale time-delay systems with dead-zone input , 2008, Autom..

[16]  R. Mahony,et al.  Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[17]  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).

[18]  Chen-Sheng Ting,et al.  A Robust Fuzzy Control Approach to Stabilization of Nonlinear Time-delay Systems with Saturating Inputs , 2008 .

[19]  Bing Chen,et al.  Adaptive neural tracking control of nonlinear time‐delay systems with disturbances , 2009 .

[20]  Qing Zhu,et al.  Adaptive Fuzzy Control of Nonlinear Systems in Pure Feedback Form Based on Input-to-State Stability , 2010, IEEE Transactions on Fuzzy Systems.

[21]  C.-S. Chiu.  Mixed Feedforward/Feedback Based Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems , 2006, IEEE Transactions on Fuzzy Systems.

[22]  Jing Zhou,et al.  Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance , 2011, IEEE Transactions on Automatic Control.

[23]  Jang-Myung Lee,et al.  Adaptive fuzzy backstepping dynamic surface control for output-constrained non-smooth nonlinear dynamic system , 2012 .

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