Several extensions in methods for adaptive output feedback control

Several extensions to neural network based adaptive output feedback control of nonlinear systems are developed. An extension that permits the introduction of e-modification. In an error observer based approach is given. For the case of non-affine systems, we eliminate a fixed-point assumption that has appeared in earlier work, and clarify the role that knowledge of the sign of control effectiveness plays in adaptive control.

[1]  E. Lavretsky,et al.  Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I , 2005, Proceedings of the 2005, American Control Conference, 2005..

[2]  Jin Zhang,et al.  Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback , 2003, IEEE Trans. Neural Networks.

[3]  K. S. Narendra,et al.  Neural networks for control theory and practice , 1996, Proc. IEEE.

[4]  Tao Zhang,et al.  Design and performance analysis of a direct adaptive controller for nonlinear systems , 1999, Autom..

[5]  Anthony J. Calise,et al.  Adaptive output feedback control with reduced sensitivity to sensor noise , 2003, Proceedings of the 2003 American Control Conference, 2003..

[6]  Kurt Hornik,et al.  FEED FORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS , 1989 .

[7]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[8]  Anthony J. Calise,et al.  Dynamic neural networks for output feedback control , 2001 .

[9]  Anthony J. Calise,et al.  Adaptive output feedback for high-bandwidth flight control , 2002 .

[10]  Anthony J. Calise,et al.  Development of a Reconfigurable Flight Control Law for Tailless Aircraft , 2001 .

[11]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[12]  Andrew R. Barron,et al.  Universal approximation bounds for superpositions of a sigmoidal function , 1993, IEEE Trans. Inf. Theory.

[13]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[14]  Anthony J. Calise,et al.  Adaptive output feedback control of nonlinear systems using neural networks , 2001, Autom..

[15]  M. French,et al.  Approximate models for adaptive feedback linearization , 1997 .

[16]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[17]  Okyay Kaynak,et al.  Robust and adaptive backstepping control for nonlinear systems using RBF neural networks , 2004, IEEE Transactions on Neural Networks.

[18]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[19]  Anthony J. Calise,et al.  Upper bounds for approximation of continuous-time dynamics using delayed outputs and feedforward neural networks , 2003, IEEE Trans. Autom. Control..

[20]  Frank L. Lewis,et al.  Multilayer neural-net robot controller with guaranteed tracking performance , 1996, IEEE Trans. Neural Networks.

[21]  Frank L. Lewis,et al.  High-Level Feedback Control with Neural Networks , 1998, World Scientific Series in Robotics and Intelligent Systems.

[22]  Anthony J. Calise,et al.  Nonlinear flight control using neural networks , 1994 .

[23]  E. Lavretsky,et al.  Adaptive dynamic inversion for nonaffine-in-control systems via time-scale separation: part II , 2005, Proceedings of the 2005, American Control Conference, 2005..

[24]  Michael B. McFarland,et al.  Neural Networks and Adaptive Nonlinear Control of Agile Antiair Missiles , 2000 .

[25]  K. Narendra,et al.  A new adaptive law for robust adaptation without persistent excitation , 1987 .

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

[27]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[28]  A. Isidori.  Nonlinear Control Systems , 1985 .

[29]  Anthony J. Calise,et al.  Adaptive Model Inversion Flight Control For Tiltrotor Aircraft , 1998 .

[30]  Tao Zhang,et al.  Direct adaptive control of non-affine nonlinear systems using multilayer neural networks , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[31]  Anthony J. Calise,et al.  Adaptive output feedback control of uncertain nonlinear systems using single-hidden-layer neural networks , 2002, IEEE Trans. Neural Networks.

[32]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[33]  Anthony J. Calise,et al.  A novel observer based adaptive output feedback approach for control of uncertain systems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[34]  Nakwan Kim.  Improved Methods in Neural Network-Based Adaptive Output Feedback Control, with Applications to Flight Control , 2003 .

[35]  Petar V. Kokotovic,et al.  Adaptive output-feedback control of a class of nonlinear systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.