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2013 | OriginalPaper | Chapter

10. Discrete Neural Network Control

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 two kinds of adaptive discrete neural network controllers for discrete nonlinear system, including a direct RBF controller and an indirect RBF controller. For the two control laws, the adaptive laws are designed based on the Lyapunov stability theory; the closed-loop system stability can be achieved.

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Appendix
Available only for authorised users
Literature
1.
go back to reference Jagannathan S, Lewis FL (1994) Discrete-time neural net controller with guaranteed performance. In: Proceedings of the American control conference, pp 3334–3339 Jagannathan S, Lewis FL (1994) Discrete-time neural net controller with guaranteed performance. In: Proceedings of the American control conference, pp 3334–3339
2.
go back to reference Ge SS, Li GY, Lee TH (2003) Adaptive NN control for a class of strict-feedback discrete- time nonlinear systems. Automatica 39(5):807–819MathSciNetMATHCrossRef Ge SS, Li GY, Lee TH (2003) Adaptive NN control for a class of strict-feedback discrete- time nonlinear systems. Automatica 39(5):807–819MathSciNetMATHCrossRef
3.
go back to reference Yang C, Li Y, Ge SS, Lee TH (2010) Adaptive control of a class of discrete-time MIMO nonlinear systems with uncertain couplings. Int J Control 83(10):2120–2133MathSciNetMATHCrossRef Yang C, Li Y, Ge SS, Lee TH (2010) Adaptive control of a class of discrete-time MIMO nonlinear systems with uncertain couplings. Int J Control 83(10):2120–2133MathSciNetMATHCrossRef
4.
go back to reference Ge SS, Yang C, Dai S, Jiao Z, Lee TH (2009) Robust adaptive control of a class of nonlinear strict-feedback discrete-time systems with exact output tracking. Automatica 45(11):2537–2545MathSciNetMATHCrossRef Ge SS, Yang C, Dai S, Jiao Z, Lee TH (2009) Robust adaptive control of a class of nonlinear strict-feedback discrete-time systems with exact output tracking. Automatica 45(11):2537–2545MathSciNetMATHCrossRef
5.
go back to reference Yang C, Ge SS, Lee TH (2009) Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions. Automatica 45(1):270–276MathSciNetMATHCrossRef Yang C, Ge SS, Lee TH (2009) Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions. Automatica 45(1):270–276MathSciNetMATHCrossRef
6.
go back to reference Yang C, Ge SS, Xiang C, Chai T, Lee TH (2008) Output feedback NN Control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans Neural Netw 19(11):1873–1886CrossRef Yang C, Ge SS, Xiang C, Chai T, Lee TH (2008) Output feedback NN Control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans Neural Netw 19(11):1873–1886CrossRef
7.
go back to reference Ge SS, Yang C, Lee TH (2008) Adaptive robust control of a class of nonlinear strict- feedback discrete-time systems with unknown control directions. Syst Control Lett 57:888–895MathSciNetMATHCrossRef Ge SS, Yang C, Lee TH (2008) Adaptive robust control of a class of nonlinear strict- feedback discrete-time systems with unknown control directions. Syst Control Lett 57:888–895MathSciNetMATHCrossRef
8.
go back to reference Ge SS, Yang C, Lee TH (2008) Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time. IEEE Trans Neural Netw 19(9):1599–1614CrossRef Ge SS, Yang C, Lee TH (2008) Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time. IEEE Trans Neural Netw 19(9):1599–1614CrossRef
9.
go back to reference Zhang J, Ge SS, Lee TH (2005) Output feedback control of a class of discrete MIMO nonlinear systems with triangular form inputs. IEEE Trans Neural Netw 16(6):1491–1503CrossRef Zhang J, Ge SS, Lee TH (2005) Output feedback control of a class of discrete MIMO nonlinear systems with triangular form inputs. IEEE Trans Neural Netw 16(6):1491–1503CrossRef
10.
go back to reference Ge SS, Zhang J, Lee TH (2004) State feedback NN control of a class of discrete MIMO nonlinear systems with disturbances. IEEE Trans Syst, Man Cybern (Part B) Cybern 34(4):1630–1645 Ge SS, Zhang J, Lee TH (2004) State feedback NN control of a class of discrete MIMO nonlinear systems with disturbances. IEEE Trans Syst, Man Cybern (Part B) Cybern 34(4):1630–1645
11.
go back to reference Ge SS, Li Y, Zhang J, Lee TH (2004) Direct adaptive control for a class of MIMO nonlinear systems using neural networks. IEEE Trans Autom Control 49(11):2001–2006MathSciNetCrossRef Ge SS, Li Y, Zhang J, Lee TH (2004) Direct adaptive control for a class of MIMO nonlinear systems using neural networks. IEEE Trans Autom Control 49(11):2001–2006MathSciNetCrossRef
12.
go back to reference Ge SS, Zhang J, Lee TH (2004) Adaptive MNN control for a class of non-affine NARMAX systems with disturbances. Syst Control Lett 53:1–12MathSciNetMATHCrossRef Ge SS, Zhang J, Lee TH (2004) Adaptive MNN control for a class of non-affine NARMAX systems with disturbances. Syst Control Lett 53:1–12MathSciNetMATHCrossRef
13.
go back to reference Ge SS, Lee TH, Li GY, Zhang J (2003) Adaptive NN control for a class of discrete-time nonlinear systems. Int J Control 76(4):334–354MathSciNetMATHCrossRef Ge SS, Lee TH, Li GY, Zhang J (2003) Adaptive NN control for a class of discrete-time nonlinear systems. Int J Control 76(4):334–354MathSciNetMATHCrossRef
14.
go back to reference Lee S (2001) Neural network based adaptive control and its applications to aerial vehicles. Ph.D. dissertation, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA Lee S (2001) Neural network based adaptive control and its applications to aerial vehicles. Ph.D. dissertation, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA
15.
go back to reference Shin DH, Kim Y (2006) Nonlinear discrete-time reconfigurable flight control law using neural networks. IEEE Trans Control Syst Technol 14(3):408–422CrossRef Shin DH, Kim Y (2006) Nonlinear discrete-time reconfigurable flight control law using neural networks. IEEE Trans Control Syst Technol 14(3):408–422CrossRef
16.
go back to reference Zhang J, Ge SS, Lee TH (2002) Direct RBF neural network control of a class of discrete-time non-affine nonlinear systems. In: Proceedings of the American control conference, pp 424–429 Zhang J, Ge SS, Lee TH (2002) Direct RBF neural network control of a class of discrete-time non-affine nonlinear systems. In: Proceedings of the American control conference, pp 424–429
17.
go back to reference Fabri SG, Kadirkamanathan V (2001) Functional adaptive control: an intelligent systems approach. Springer, New YorkMATHCrossRef Fabri SG, Kadirkamanathan V (2001) Functional adaptive control: an intelligent systems approach. Springer, New YorkMATHCrossRef
Metadata
Title
Discrete Neural Network Control
Author
Jinkun Liu
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-34816-7_10