Adaptive control and identification using one neural network for a class of plants with uncertainties

This paper proposes a new neural adaptive control method that can perform adaptive control and identification for a class of controlled plants with linear and nonlinear uncertainties. This method uses a single neural network for both control and identification, and a sufficient condition of the local asymptotic stability is derived. Then, in order to illustrate the applicability of the proposed method, it is applied to the torque control of a flexible beam that includes linear and nonlinear structural uncertainties.

[1]  Jianming Lu,et al.  Adaptive Control for Nonlinear Systems Using Neural Networks , 1999 .

[2]  敏男 福田,et al.  対象物の特性を考慮したロボットの力制御方式 : 第1報,適応力制御によるグリッパの把握動作の力制御 , 1987 .

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

[4]  Eduardo D. Sontag,et al.  Neural Networks for Control , 1993 .

[5]  Toshio Fukuda,et al.  Force control of robotic manipulator using neural network , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[6]  M. A. Kaashoek,et al.  Robust control of linear systems and nonlinear control , 1990 .

[7]  Richard D. Braatz,et al.  On the "Identification and control of dynamical systems using neural networks" , 1997, IEEE Trans. Neural Networks.

[8]  Marios M. Polycarpou,et al.  Automated fault detection and accommodation: a learning systems approach , 1995, IEEE Trans. Syst. Man Cybern..

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

[10]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[11]  Takayuki Yamada,et al.  Some Remarks on Characteristics of Direct Neuro-Controller with Regard to Adaptive Control , 1991 .

[12]  Chen-Chung Liu,et al.  Adaptively controlling nonlinear continuous-time systems using multilayer neural networks , 1994, IEEE Trans. Autom. Control..

[13]  Sigeru Omatu,et al.  Self-tuning PID control by neural-networks , 1993, Proceedings of 1993 International Conference on Neural Networks (IJCNN-93-Nagoya, Japan).

[14]  Nader Sadegh,et al.  A perceptron network for functional identification and control of nonlinear systems , 1993, IEEE Trans. Neural Networks.

[15]  S. Omatu,et al.  Neuromorphic self-tuning PID controller , 1993, IEEE International Conference on Neural Networks.

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

[17]  George A. Rovithakis,et al.  Direct adaptive regulation of unknown nonlinear dynamical systems via dynamic neural networks , 1995, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Toshio Fukuda,et al.  Adaptive Force Control in Robot Manipulation with Consideration of Characteristics of Objects : 1st Report, Grasping Control of Gripper by the Adaptive Hybrid Force Control : Series C : Vibration, Control Engineering, Engineering for Industry , 1987 .

[19]  A. Moran,et al.  Robust tracking control of flexible arm using inverse dynamics method , 1996, Proceedings of 4th IEEE International Workshop on Advanced Motion Control - AMC '96 - MIE.

[20]  Makoto Kaneko,et al.  Active Antenna , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[21]  Eduardo F. Camacho,et al.  A neural network based feedforward adaptive controller for robots , 1995, IEEE Trans. Syst. Man Cybern..

[22]  Frank L. Lewis,et al.  Neural net robot controller with guaranteed tracking performance , 1995, IEEE Trans. Neural Networks.

[23]  Kwang Y. Lee,et al.  Diagonal recurrent neural networks for dynamic systems control , 1995, IEEE Trans. Neural Networks.

[24]  Marzuki Khalid,et al.  Temperature regulation with neural networks and alternative control schemes , 1995, IEEE Trans. Neural Networks.

[25]  M. Kaneko,et al.  3-D Active Antenna for contact sensing , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[26]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[27]  Toshio Fukuda,et al.  Force Control of Robotic Manipulator Using Neural Network , 1995 .

[28]  Richard S. Sutton,et al.  A Summary Comparison of CMAC Neural Network and Traditional Adaptive Control Systems , 1995 .

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

[30]  Frank L. Lewis,et al.  Multilayer discrete-time neural-net controller with guaranteed performance , 1996, IEEE Trans. Neural Networks.

[31]  Chen-Chung Liu,et al.  ADAPTIVE CONTROL OF NONLINEAR CONTINUOUS-TIME SYSTEMS USING NEURAL NETWORKS - GENERAL RELATIVE DEGREE AND MIMO CASES , 1993 .

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

[33]  Takashi Yahagi,et al.  Vibration control of flexible robotic arms using robust model matching control , 1996, Proceedings of 4th IEEE International Workshop on Advanced Motion Control - AMC '96 - MIE.

[34]  Manolis A. Christodoulou,et al.  Adaptive control of unknown plants using dynamical neural networks , 1994, IEEE Trans. Syst. Man Cybern..

[35]  M. Kawato,et al.  Hierarchical neural network model for voluntary movement with application to robotics , 1988, IEEE Control Systems Magazine.

[36]  Hideaki Sakai,et al.  A nonlinear regulator design in the presence of system uncertainties using multilayered neural network , 1991, IEEE Trans. Neural Networks.

[37]  Walter R. Evans,et al.  Control-system dynamics , 1964 .

[38]  Hassan K. Khalil,et al.  Adaptive control of a class of nonlinear discrete-time systems using neural networks , 1995, IEEE Trans. Autom. Control..

[39]  Toshio Fukuda,et al.  Flexibility control of elastic robotic arms and its application to contouring control , 1984, ICRA.

[40]  T. Yabuta,et al.  Nonlinear neural network controller for dynamic system , 1990, [Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society.

[41]  Fu-Chuang Chen,et al.  Adaptive control of non-linear continuous-time systems using neural networks—general relative degree and MIMO cases , 1993 .

[42]  Makoto Kaneko,et al.  Theoretical and experimental investigation on dynamic active antenna , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[43]  Takayuki Yamada,et al.  Neural network controller characteristics with regard to adaptive control , 1992, IEEE Trans. Syst. Man Cybern..