A neuro-sliding control approach for a class of nonlinear systems

This paper proposes a learning method for the compensation of uncertainties, for a class of nonlinear systems. A sliding model control strategy is used for the robust control design after a prior stable learning phase. Gaussian networks are used to identify the uncertainties during this learning phase. Learning and control bounds are guaranteed by properly constructing the training structure. The proposed technique has been validated using a hardware example case of an electromechanical system. Experiments have shown that the inclusion of the proposed learning technique in the robust control design results in improved system performance.

[1]  Kumpati S. Narendra,et al.  Gradient methods for the optimization of dynamical systems containing neural networks , 1991, IEEE Trans. Neural Networks.

[2]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[3]  Jean-Jacques E. Slotine,et al.  The Robust Control of Robot Manipulators , 1985 .

[4]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[5]  Sergey K. Korovin,et al.  Variable-Structure Control Systems: Discrete and Digital , 1995 .

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

[7]  Satish S. Nair,et al.  Indirect control of a class of nonlinear dynamic systems , 1996, IEEE Trans. Neural Networks.

[8]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[9]  Richard W. Longman,et al.  Integrated sliding-mode adaptive-robust control , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

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

[11]  Satish S. Nair,et al.  Gaussian networks for control of a class of systems with friction , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[12]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

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

[14]  Satish S. Nair,et al.  Identification of friction for control at low velocities , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[15]  Petros A. Ioannou,et al.  Instability analysis and robust adaptive control of robotic manipulators , 1989, IEEE Trans. Robotics Autom..

[16]  M. P. R. V. Rao.  Stable adaptive systems, Kumpati S. Narendra and Anuradha M. Annaswamy, Prentice Hall, Englewood Cliffs, NJ, 1989, 494 pp., ISBN 0‐13‐839994‐8, £51.35 , 1990 .

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

[18]  S.S. Nair,et al.  Identification and control experiments using neural designs , 1994, IEEE Control Systems.

[19]  Masayoshi Tomizuka,et al.  Smooth Robust Adaptive Sliding Mode Control of Manipulators With Guaranteed Transient Performance , 1996 .