NN robustness design of nonlinear structure systems

The neural-network (NN) model is adopted to overcome the modeling error problem of nonlinear systems. According to the controlled system, the H infinity criterion is derived based on the Lyapunov method. Based on the stability criterion, the nonlinear systems are guaranteed to be stable. The control problem can be reformulated into the linear matrix inequality (LMI) problem.

[1]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[2]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[4]  Chieh-Li Chen,et al.  Analysis and design of fuzzy control system , 1993 .

[5]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[6]  N. W. Rees,et al.  Analysis and design of fuzzy control systems , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[7]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[8]  N. W. Rees,et al.  Stability analysis and design for a class of continuous-time fuzzy control systems , 1996 .

[9]  Kazuo Tanaka,et al.  Design of a stable fuzzy controller for an articulated vehicle , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[10]  Shu-Guang Cao,et al.  Design of fuzzy control systems with guaranteed stability , 1997, Fuzzy Sets Syst..

[11]  Gang Feng,et al.  Analysis and design for a class of complex control systems part II: Fuzzy controller design , 1997, Autom..

[12]  Zengqi Sun,et al.  Analysis and design of fuzzy controller and fuzzy observer , 1998, IEEE Trans. Fuzzy Syst..

[13]  Jennie Si,et al.  Neural network-based control design: an LMI approach , 1998, IEEE Trans. Neural Networks.

[14]  W. Chiang,et al.  LQG/LTR Control Methodology in Active Structural Control , 1998 .

[15]  Aníbal Ollero,et al.  Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems , 1999, IEEE Trans. Fuzzy Syst..

[16]  Bor-Sen Chen,et al.  Robustness design of nonlinear dynamic systems via fuzzy linear control , 1999, IEEE Trans. Fuzzy Syst..

[17]  Kazuo Tanaka,et al.  Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach , 2000, Inf. Sci..

[18]  Tsuyoshi Hori,et al.  A dual design problem via multiple Lyapunov functions , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[19]  Thierry-Marie Guerra,et al.  Control laws for Takagi-Sugeno fuzzy models , 2001, Fuzzy Sets Syst..

[20]  Feng-Hsiag Hsiao,et al.  Stability analysis of fuzzy large-scale systems , 2002, IEEE Trans. Syst. Man Cybern. Part B.

[21]  Hyung-Jin Kang,et al.  Numerical robust stability analysis of fuzzy feedback linearisation regulator based on linear matrix inequality approach , 2002 .

[22]  Kazuo Tanaka,et al.  A multiple Lyapunov function approach to stabilization of fuzzy control systems , 2003, IEEE Trans. Fuzzy Syst..

[23]  Michael Margaliot,et al.  A new approach to fuzzy modeling and control of discrete-time systems , 2003, IEEE Trans. Fuzzy Syst..

[24]  Yasunari Shidama,et al.  Analysis of T-S Fuzzy Model , 2004 .

[25]  Cheng-Wu Chen,et al.  Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems , 2004, Math. Comput. Simul..

[26]  Panagiotis D. Christofides,et al.  Output feedback control of switched nonlinear systems using multiple Lyapunov functions , 2001, Proceedings of the 2005, American Control Conference, 2005..

[27]  W. Chiang,et al.  Fuzzy Control for Nonlinear Systems via Neural-Network-Based Approach , 2005 .

[28]  Cheng-Wu Chen,et al.  Stability conditions of fuzzy systems and its application to structural and mechanical systems , 2006, Adv. Eng. Softw..

[29]  MORRIS H. L. WANG,et al.  Fuzzy Lyapunov Method for Stability Conditions of Nonlinear Systems , 2006, Int. J. Artif. Intell. Tools.

[30]  Chen-Yuan Chen,et al.  Modeling, H∞ Control and Stability Analysis for Structural Systems Using Takagi-Sugeno Fuzzy Model , 2007 .

[31]  Zidong Wang,et al.  A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays , 2007 .

[32]  Sheng-Dong Xu,et al.  Robustness Design of Fuzzy Control for Nonlinear Multiple Time-Delay Large-Scale Systems via Neural-Network-Based Approach , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).