Abstract
In this chapter, two kinds of neural network approaches [i.e., gradient neural network (also termed gradient-based neural network), GNN, and Zhang neural network, ZNN] are used to analyze and prove the efficacy of the repetitive motion performance index.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhang Y, Chen K (2008) Global exponential convergence and stability of Wang neural network for solving online linear equations. Electron Lett 44(2):145–146
Zhang Y, Chen K, Tan H (2009) Performance analysis of gradient neural network exploited for online time-varying matrix inversion. IEEE Trans Autom Control 54(8):1940–1945
Zhang Y, Lv X, Li Z, Yang Z, Zhu H (2008) Effective neural remedy for drift phenomenon of planar three-link robot arm using quadratic performance index. Electron Lett 44(6):435–437
Zhang Y, Guo D, Cai B, Chen K (2011) Remedy scheme and theoretical analysis of joint-angle drift phenomenon for redundant robot manipulators. Robot Comput-Integr Manuf 27(4):860–869
Chen K, Zhang L, Zhang Y (2008) Cyclic motion generation of multi-link planar robot performing square end-effector trajectory analyzed via gradient-descent and Zhang et al.’s neural-dynamic methods. In: Proceedings of international symposium on systems and control in aerospace and astronautics, pp 1–6
Zhang Y (2002) Analysis and design of recurrent neural networks and their applications to control and robotic systems. PhD dissertation, Chinese University of Hong Kong, Hong Kong
Zhang Y, Jiang D, Wang J (2002) A recurrent neural network for solving Sylvester equation with time-varying coefficients. IEEE Trans Neural Netw 13(5):1053–1063
Zhang Y, Guo D, Cai B, Chen K (2011) Remedy scheme and theoretical analysis of joint-angle drift phenomenon for redundant robot manipulators. Robot Comput-Integr Manuf 27(4):860–869
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Zhang, Y., Zhang, Z. (2013). Proofs of Repetitive Motion Performance Index. In: Repetitive Motion Planning and Control of Redundant Robot Manipulators. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37518-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-37518-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37517-0
Online ISBN: 978-3-642-37518-7
eBook Packages: EngineeringEngineering (R0)