Multiple neural control and stabilization

In this paper, we present a multiple neural control and stabilization strategy for nonlinear and unstable systems. This control strategy method is efficient especially when the system presents different behaviors or different equilibrium points and when we hope to drive the whole process to a desired state ensuring stabilization. The considered control strategy has been applied on a nonlinear unstable system possessing two equilibrium points. It has been shown that the use of the multiple neural control and stabilization strategy increases further the stability domain of the system further than when we use a single neural control strategy.

[1]  Michael Athans,et al.  The stochastic control of the F-8C aircraft using a multiple model adaptive control (MMAC) method--Part I: Equilibrium flight , 1977 .

[2]  Takayuki Yamada,et al.  Learning control using neural networks , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[3]  Fathi Fourati.  Multiple neural control of a greenhouse , 2014, Neurocomputing.

[4]  Mohamed Kamoun,et al.  Stabilization of unknown nonlinear systems using neural networks , 2008, Appl. Soft Comput..

[5]  Junyong Zhai,et al.  Multiple models switching control based on recurrent neural networks , 2008, Neural Computing and Applications.

[6]  D. Mayne,et al.  Design issues in adaptive control , 1988 .

[7]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[8]  Roderick Murray-Smith,et al.  Multiple Model Approaches to Modelling and Control , 1997 .

[9]  Kenneth J. Hunt,et al.  Applications of Neural Adaptive Control Technology , 1997 .

[10]  Kumpati S. Narendra,et al.  Adaptation and learning using multiple models, switching, and tuning , 1995 .

[11]  Shuning Wang,et al.  IMPROVED MULTIPLE MODEL ADAPTIVE CONTROL AND ITS STABILITY ANALYSIS , 2002 .

[12]  K S Narendra,et al.  Control of nonlinear dynamical systems using neural networks. II. Observability, identification, and control , 1996, IEEE Trans. Neural Networks.

[13]  Jean-Jacques E. Slotine,et al.  Neural Network Control of Unknown Nonlinear Systems , 1989, 1989 American Control Conference.

[14]  B. Widrow,et al.  Neural networks for self-learning control systems , 1990, IEEE Control Systems Magazine.

[15]  Peter J. Gawthrop,et al.  Neural networks for control systems - A survey , 1992, Autom..

[16]  A. Sideris,et al.  A multilayered neural network controller , 1988, IEEE Control Systems Magazine.

[17]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[18]  M. Hazewinkel.  Adaptive stabilization , 2005 .

[19]  Kumpati S. Narendra,et al.  Control of nonlinear dynamical systems using neural networks: controllability and stabilization , 1993, IEEE Trans. Neural Networks.