Abstract
Most existing adaptive neural network (NN) robot control methods suffer from poor convergence performance of network weights, which cannot fully exploit the approximation ability of NNs. A sufficient condition to ensure parameter convergence of NNs in these control methods is termed persistent excitation, which is difficult to be satisfied in practice. In this paper, an adaptive echo state network (ESN) robot control method enhanced by composite learning is proposed for a trajectory tracking problem of robotic arms with multiple degrees of freedom (DoFs), where a chaotic ESN is used to accurately model and compensate for robot uncertainty online. In the proposed method, a generalized prediction error is defined based on memory regressor extension, and both the prediction error and the generalized prediction error emerge into the weight update law of ESNs such that exponential convergence of parameter estimation, implying exponential convergence of trajectory tracking, is guaranteed under a weaker condition termed interval excitation. Simulation results based on a 7-DoF collaborative robot have verified the effectiveness and superiority of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Narendra, K.S.: Neural networks for control theory and practice. Proc. IEEE 84(10), 1385–1406 (1996)
Pan, Y., Liu, Y., Xu, B., Yu, H.: Hybrid feedback feedforward: an efficient design of adaptive neural network control. Neural Netw. 76, 122–134 (2016)
Guo, K., Pan, Y., Yu, H.: Composite learning robot control with friction compensation: a neural network-based approach. IEEE Trans. Industr. Electron. 66(10), 7841–7851 (2018)
Huang, D., Yang, C., Pan, Y., Cheng, L.: Composite learning enhanced neural control for robot manipulator with output error constraints. IEEE Trans. Industr. Inf. 17(1), 209–218 (2019)
Boden, M.: A guide to recurrent neural networks and backpropagation. The Dallas Project (2002)
Bengio, Y., Simard, P., Frasconi, P.: Learning long-term dependencies with gradient descent is difficult. IEEE Trans. Neural Networks 5(2), 157–166 (1994)
Pearlmutter, B.A.: Gradient calculations for dynamic recurrent neural networks: a survey. IEEE Trans. Neural Networks 6(5), 1212–1228 (1995)
Jaeger, H.: The “echo state” approach to analysing and training recurrent neural networks. Technical report GMD Report 148, German National Research Center for Information Technology, Bonn, Germany (2001)
Jaeger, H., Haas, H.: Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication. Science 304(5667), 78–80 (2004)
Sussillo, D., Abbott, L.F.: Generating coherent patterns of activity from chaotic neural networks. Neuron 63(4), 544–557 (2009)
Waegeman, T., Wyffels, F., Schrauwen, B.: Feedback control by online learning an inverse model. IEEE Trans. Neural Netw. Learn. Syst. 23(10), 1637–1648 (2012)
Xing, K., Wang, Y., Zhu, Q., Zhou, H.: Modeling and control of Mckibben artificial muscle enhanced with echo state networks. Control. Eng. Pract. 20(5), 477–488 (2012)
Han, S.I., Lee, J.M.: Precise positioning of nonsmooth dynamic systems using fuzzy wavelet echo state networks and dynamic surface sliding mode control. IEEE Trans. Industr. Electron. 60(11), 5124–5136 (2012)
Han, S.I., Lee, J.M.: Fuzzy echo state neural networks and funnel dynamic surface control for prescribed performance of a nonlinear dynamic system. IEEE Trans. Industr. Electron. 61(2), 1099–1112 (2013)
Park, J., Cho, D., Kim, S., Kim, Y.B., Kim, P.Y., Kim, H.J.: Utilizing online learning based on echo-state networks for the control of a hydraulic excavator. Mechatronics 24(8), 986–1000 (2014)
Galtier, M.: Ideomotor feedback control in a recurrent neural network. Biol. Cybern. 109(3), 363–375 (2015)
Park, J., Lee, B., Kang, S., Kim, P.Y., Kim, H.J.: Online learning control of hydraulic excavators based on echo-state networks. IEEE Trans. Autom. Sci. Eng. 14(1), 249–259 (2016)
Badoni, M., Singh, B., Singh, A.: Implementation of echo-state network-based control for power quality improvement. IEEE Trans. Industr. Electron. 64(7), 5576–5584 (2017)
Jordanou, J.P., Antonelo, E.A., Camponogara, E.: Online learning control with echo state networks of an oil production platform. Eng. Appl. Artif. Intell. 85, 214–228 (2019)
Lin, J.S., Kanellakopoulos, I.: Nonlinearities enhance parameter convergence in output-feedback systems. IEEE Trans. Autom. Control 43(2), 204–222 (1998)
Sastry, S., Bodson, M.: Adaptive Control: Stability, Convergence and Robustness. Prentice Hall, New Jersey (1989)
Pan, Y., Yu, H.: Composite learning robot control with guaranteed parameter convergence. Automatica 89, 398–406 (2018)
Pan, Y., Yu, H.: Composite learning from adaptive dynamic surface control. IEEE Trans. Autom. Control 61(9), 2603–2609 (2016)
Ortega, R., Nikiforov, V., Gerasimov, D.: On modified parameter estimators for identification and adaptive control. A unified framework and some new schemes. Ann. Rev. Control 50, 278–293 (2020)
Spong, M.W., Hutchinson, S., Vidyasagar, M.: Robot Modeling and Control, vol. 3. Wiley, New York (2006)
Kim, N., Calise, A.J.: Several extensions in methods for adaptive output feedback control. IEEE Trans. Neural Networks 18(2), 482–494 (2007)
Gaz, C., Cognetti, M., Oliva, A., Giordano, P.R., De Luca, A.: Dynamic identification of the Franka Emika Panda robot with retrieval of feasible parameters using penalty-based optimization. IEEE Robot. Autom. Lett. 4(4), 4147–4154 (2019)
Liu, X., Li, Z., Pan, Y.: Preliminary evaluation of composite learning tracking control on 7-DoF collaborative robots. In: IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (IFAC-PapersOnLine), Tokyo, Japan, to be published (2021)
Acknowledgements
This work was supported in part by the Guangdong Pearl River Talent Program of China under Grant No. 2019QN01X154, and in part by the Fundamental Research Funds for the Central Universities of China under Grant No. 19lgzd40.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Wu, R., Li, Z., Pan, Y. (2021). Adaptive Echo State Network Robot Control with Guaranteed Parameter Convergence. In: Liu, XJ., Nie, Z., Yu, J., Xie, F., Song, R. (eds) Intelligent Robotics and Applications. ICIRA 2021. Lecture Notes in Computer Science(), vol 13016. Springer, Cham. https://doi.org/10.1007/978-3-030-89092-6_53
Download citation
DOI: https://doi.org/10.1007/978-3-030-89092-6_53
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-89091-9
Online ISBN: 978-3-030-89092-6
eBook Packages: Computer ScienceComputer Science (R0)