Decentralized adaptive fuzzy control of large-scale nonaffine nonlinear systems by state and output feedback

This paper develops two novel decentralized adaptive fuzzy control methods of large-scale nonaffine uncertain nonlinear systems. By using a fuzzy inference system and implicit function theorem, a decentralized direct adaptive state feedback fuzzy control algorithm is firstly presented for a class of large-scale nonaffine continuous-time systems. By using a high-gain observer to reconstruct the system states, an extension is made to a decentralized output feedback control of unmeasurable interactive nonaffine systems. The decentralized adaptive fuzzy control schemes via state and output feedback guarantee the stability of the closed-loop large-scale systems. The effectiveness of the developed approaches is demonstrated through simulation results of a platoon of vehicles within an automated highway system.

[1]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[2]  Kok Kiong Tan,et al.  Decentralized control design for large-scale systems with strong interconnections using neural networks , 2003, IEEE Trans. Autom. Control..

[3]  Reza Shahnazi,et al.  PI Adaptive Fuzzy Control With Large and Fast Disturbance Rejection for a Class of Uncertain Nonlinear Systems , 2008, IEEE Transactions on Fuzzy Systems.

[4]  Yih-Guang Leu,et al.  An online GA-based output-feedback direct adaptive fuzzy-neural controller for uncertain nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[5]  Jang-Hyun Park,et al.  Direct adaptive controller for nonaffine nonlinear systems using self-structuring neural networks , 2005, IEEE Transactions on Neural Networks.

[6]  Timothy J. Gale,et al.  Direct adaptive fuzzy control with a self-structuring algorithm , 2008, Fuzzy Sets Syst..

[7]  Yeong-Chan Chang,et al.  Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and H∞ approaches , 2001, IEEE Trans. Fuzzy Syst..

[8]  Shaocheng Tong,et al.  Adaptive Neural Output Feedback Controller Design With Reduced-Order Observer for a Class of Uncertain Nonlinear SISO Systems , 2011, IEEE Transactions on Neural Networks.

[9]  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.

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

[11]  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).

[12]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

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

[14]  Yu Tang,et al.  Adaptive fuzzy control for a class of uncertain nonlinear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[15]  Yan-Jun Liu,et al.  Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems , 2007, Inf. Sci..

[16]  Yih-Guang Leu,et al.  Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems , 2005, IEEE Trans. Neural Networks.

[17]  Shaocheng Tong,et al.  Adaptive Neural Output Feedback Tracking Control for a Class of Uncertain Discrete-Time Nonlinear Systems , 2011, IEEE Transactions on Neural Networks.

[18]  H. Khalil Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

[19]  Anthony J. Calise,et al.  Coordinated decentralized adaptive output feedback control of interconnected systems , 2004, Proceedings of the 2004 American Control Conference.

[20]  Yi-Shao Huang,et al.  Decentralized adaptive output feedback fuzzy controller for a class of large-scale nonlinear systems , 2011 .

[21]  Bing Chen,et al.  Direct adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems , 2007, Fuzzy Sets Syst..

[22]  Shaocheng Tong,et al.  Fuzzy adaptive robust backstepping stabilization for SISO nonlinear systems with unknown virtual control direction , 2010, Inf. Sci..

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

[24]  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..

[25]  Tsung-Chih Lin,et al.  Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems , 2002, IEEE Trans. Fuzzy Syst..

[26]  Timothy J. Gale,et al.  Two-Mode Adaptive Fuzzy Control With Approximation Error Estimator , 2007, IEEE Transactions on Fuzzy Systems.

[27]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized control fora class of large-scale nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[28]  Tsung-Chih Lin,et al.  Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H[infin] approaches , 2004, Fuzzy Sets Syst..

[29]  Srdjan S. Stankovic,et al.  Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback , 2009, Syst. Control. Lett..

[30]  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).

[31]  Salim Labiod,et al.  Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems , 2007, Fuzzy Sets Syst..

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

[33]  Srdjan S. Stankovic,et al.  Decentralized overlapping control of a platoon of vehicles , 2000, IEEE Trans. Control. Syst. Technol..

[34]  Bing Chen,et al.  Direct adaptive fuzzy control for nonlinear systems with time-varying delays , 2010, Inf. Sci..

[35]  Shaocheng Tong,et al.  Adaptive fuzzy output tracking control for a class of uncertain nonlinear systems , 2009, Fuzzy Sets Syst..