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2013 | OriginalPaper | Chapter

8. Backstepping Control with RBF

Author : Jinkun Liu

Published in: Radial Basis Function (RBF) Neural Network Control for Mechanical Systems

Publisher: Springer Berlin Heidelberg

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Abstract

This chapter introduces backstepping controller design with RBF neural network approximation. Several controller design examples for mechanical systems are given, including backstepping controller for inverted pendulum, backstepping controller for single-link flexible joint robot, and adaptive backstepping controller for single-link flexible joint robot.

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previous chapter Adaptive Robust RBF Control Based on Local Approximation
next chapter Digital RBF Neural Network Control
Appendix
Available only for authorised users
Literature
1.
Kanellakopoulos I, Kokotovic PV, Morse AS (1991) Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans Autom Control 36(11):1241–1253MathSciNetMATHCrossRef
2.
Kokotovic PV (1992) The joy of feedback: nonlinear and adaptive. IEEE Control Syst Mag 12(3):7–17CrossRef
3.
Krstic M, Kanellakopoulos I, Kokotovic P (1995) Nonlinear and adaptive control design. Wiley, New York
4.
Zhang Y, Peng PY, Jiang ZP (2000) Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Trans Neural Netw 11(6):1347–1360CrossRef
5.
Kwan CM, Lewis FL (2000) Robust backstepping control of nonlinear systems using neural networks. IEEE Trans Syst Man Cybern (Part A) 30(6):753–766CrossRef
6.
Ognjen K, Nitin S, Lewis FL, Chiman MK (2003) Design and implementation of industrial neural network controller using backstepping. IEEE Trans Ind Electron 50(1):193–201CrossRef
7.
8.
Narendra KS (1991) Adaptive control using neural networks. In: Neural networks for control. MIT Press, Cambridge, MA, pp 115–142
9.
Ozaki T, Suzuki T, Furuhashi T, Okuma S, Ushikawa Y (1991) Trajectory control of robotic manipulators. IEEE Trans Ind Electron 38(3):195–202CrossRef
10.
Ge SS, Wang C (2002) Direct adaptive NN control of a class of nonlinear systems. IEEE Trans Neural Netw 13(1):214–221MathSciNetCrossRef
11.
Kwan CM, Lewis FL (2000) Robust backstepping control of induction motors using neural networks. IEEE Trans Neural Netw 11(5):1178–1187CrossRef
12.
Choi JY, Farrell JA (2001) Adaptive observer backstepping control using neural networks. IEEE Trans Neural Netw 12(5):1103–1112CrossRef
13.
Zhang T, Ge SS, Hang CC (2000) Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36(12):1835–1846MathSciNetMATH
14.
Ge SS, Wang C (2004) Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans Neural Netw 15(3):674–692CrossRef
15.
16.
Huang AC, Chen YC (2004) Adaptive sliding control for single-link flexible joint robot with mismatched uncertainties. IEEE Trans Control Syst Technol 12(5):770–775CrossRef
Metadata
Title
Backstepping Control with RBF
Author
Jinkun Liu
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
Book
Radial Basis Function (RBF) Neural Network Control for Mechanical Systems

Print ISBN: 978-3-642-34815-0

Electronic ISBN: 978-3-642-34816-7

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-642-34816-7_8