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Erschienen in: Soft Computing 3/2013

01.03.2013 | Original Paper

Discrete-time weight updates in neural-adaptive control

verfasst von: D. Richert, K. Masaud, C. J. B. Macnab

Erschienen in: Soft Computing | Ausgabe 3/2013

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Abstract

Typical neural-adaptive control approaches update neural-network weights as though they were adaptive parameters in a continuous-time adaptive control. However, requiring fast digital rates usually restricts the size of the neural network. In this paper we analyze a delta-rule update for the weights, applied at a relatively slow digital rate. We show that digital weight update causes the neural network to estimate a discrete-time model of the system, assuming that state feedback is still applied in continuous time. A Lyapunov analysis shows uniformly ultimately bounded signals. Furthermore, slowing the update frequency and using the extra computational time to increase the size/accuracy of the neural network results in better performance. Experimental results achieving link tracking of a two-link flexible-joint robot verify the improved performance.

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Literatur
Zurück zum Zitat Albus J (1975) Data storage in the cerebellar model articulation controller (CMAC). J Dyn Syst Meas Contr 97:228–233MATHCrossRef Albus J (1975) Data storage in the cerebellar model articulation controller (CMAC). J Dyn Syst Meas Contr 97:228–233MATHCrossRef
Zurück zum Zitat Albus J (1975) A new approach to manipulator control: the cerebellar model articulation controller (CMAC). J Dyn Syst Measur Contr 97:220–227MATHCrossRef Albus J (1975) A new approach to manipulator control: the cerebellar model articulation controller (CMAC). J Dyn Syst Measur Contr 97:220–227MATHCrossRef
Zurück zum Zitat Chaturvedi DK, Malik OP (2007) Experimental studies of a generalized neuron based adaptive power system stabilizer. Soft Comput 11:149–155MATHCrossRef Chaturvedi DK, Malik OP (2007) Experimental studies of a generalized neuron based adaptive power system stabilizer. Soft Comput 11:149–155MATHCrossRef
Zurück zum Zitat Chiu CH (2010) Adaptive output recurrent cerebellar model articulation controller for nonlinear system control. Soft Comput 14:627–638MATHCrossRef Chiu CH (2010) Adaptive output recurrent cerebellar model articulation controller for nonlinear system control. Soft Comput 14:627–638MATHCrossRef
Zurück zum Zitat Chiu CH, Peng YF, Lin YW (2011) Robust intelligent backstepping tracking control for wheeled inverted pendulum. Soft Comput 15:2029–2040MATHCrossRef Chiu CH, Peng YF, Lin YW (2011) Robust intelligent backstepping tracking control for wheeled inverted pendulum. Soft Comput 15:2029–2040MATHCrossRef
Zurück zum Zitat Dixon W, Zergeroglu E, Dawson D, Hannan M (2000) Global adaptive partial state feedback tracking control of rigid- link flexible-joint robots. Robotica 18:325–336CrossRef Dixon W, Zergeroglu E, Dawson D, Hannan M (2000) Global adaptive partial state feedback tracking control of rigid- link flexible-joint robots. Robotica 18:325–336CrossRef
Zurück zum Zitat Frayman Y, Wang L (2002) A dynamically constructed fuzzy neural controller for direct model reference adaptive control of multi-input-multi-output nonlinear processes. Soft Computing 6:244–253MATHCrossRef Frayman Y, Wang L (2002) A dynamically constructed fuzzy neural controller for direct model reference adaptive control of multi-input-multi-output nonlinear processes. Soft Computing 6:244–253MATHCrossRef
Zurück zum Zitat Huang AC, Chen YC (2004) Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties. IEEE Trans. Contr. Syst. Technol 12(5):770–775CrossRef Huang AC, Chen YC (2004) Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties. IEEE Trans. Contr. Syst. Technol 12(5):770–775CrossRef
Zurück zum Zitat Huang AC, Chien MC (2009) Design of a regressor-free adaptive impedance controller for flexible-joint electrically driven robots. In: Proceedings of IEEE International Conference on Industrial Electronics and Applications, pp 17–22. Xi’an, China Huang AC, Chien MC (2009) Design of a regressor-free adaptive impedance controller for flexible-joint electrically driven robots. In: Proceedings of IEEE International Conference on Industrial Electronics and Applications, pp 17–22. Xi’an, China
Zurück zum Zitat Ider S, zgren M (2000) Trajectory tracking control of flexible-joint robots. Comput Struct 76(6):757–763CrossRef Ider S, zgren M (2000) Trajectory tracking control of flexible-joint robots. Comput Struct 76(6):757–763CrossRef
Zurück zum Zitat Ioannuou P, Kokotovic P (1984) Instability analysis and improvement of robustness of adaptive control. Automatica 20(5):583–594MathSciNetCrossRef Ioannuou P, Kokotovic P (1984) Instability analysis and improvement of robustness of adaptive control. Automatica 20(5):583–594MathSciNetCrossRef
Zurück zum Zitat Jagannathan S (1999) Discrete-time CMAC NN control of feedback linearizable nonlinear systems under a persistence of excitation. IEEE Trans Neural Netw 10:128–137CrossRef Jagannathan S (1999) Discrete-time CMAC NN control of feedback linearizable nonlinear systems under a persistence of excitation. IEEE Trans Neural Netw 10:128–137CrossRef
Zurück zum Zitat Kim MS, Lee JS (2004) Adaptive tracking control of flexible-joint manipulators without overparametrization. J Robotic Syst 21(7):369–379MATHCrossRef Kim MS, Lee JS (2004) Adaptive tracking control of flexible-joint manipulators without overparametrization. J Robotic Syst 21(7):369–379MATHCrossRef
Zurück zum Zitat Kim N, Calise A, Hovakimyan N (2004) Several extensions in methods for adaptive output feedback control. In: Proceedings of American Control Conference, pp 2421–2426, Boston Kim N, Calise A, Hovakimyan N (2004) Several extensions in methods for adaptive output feedback control. In: Proceedings of American Control Conference, pp 2421–2426, Boston
Zurück zum Zitat Kim Y, Lewis F (2000) Optimal design of CMAC neural-network controller for robot manipulators. IEEE Trans Syst Man Cybern C 30(1):22–30CrossRef Kim Y, Lewis F (2000) Optimal design of CMAC neural-network controller for robot manipulators. IEEE Trans Syst Man Cybern C 30(1):22–30CrossRef
Zurück zum Zitat Kwan C, Lewis F (2000) Robust backstepping control of nonlinear systems using neural networks. IEEE Trans Syst Man Cybern A 30:753–766 Kwan C, Lewis F (2000) Robust backstepping control of nonlinear systems using neural networks. IEEE Trans Syst Man Cybern A 30:753–766
Zurück zum Zitat Lee Y, Zak SH (2004) Uniformly ultimately bounded fuzzy adaptive tracking controllers for uncertain systems. IEEE Trans Fuzzy Syst 12:797–811CrossRef Lee Y, Zak SH (2004) Uniformly ultimately bounded fuzzy adaptive tracking controllers for uncertain systems. IEEE Trans Fuzzy Syst 12:797–811CrossRef
Zurück zum Zitat Lei Y, Wu H (2006) Tracking control of robotic manipulators based on the all-coefficient adaptive control method. Int J Control Automat Syst 4(2):139–145MathSciNet Lei Y, Wu H (2006) Tracking control of robotic manipulators based on the all-coefficient adaptive control method. Int J Control Automat Syst 4(2):139–145MathSciNet
Zurück zum Zitat Macnab C (2007) A new robust weight update for multilayer-perceptron adaptive control. Control Intell Syst 35(3):279–288MathSciNetMATH Macnab C (2007) A new robust weight update for multilayer-perceptron adaptive control. Control Intell Syst 35(3):279–288MathSciNetMATH
Zurück zum Zitat Macnab C (2010) Improved output tracking of a flexible-joint arm using neural networks. Neural Process Lett 32(2):201–218CrossRef Macnab C (2010) Improved output tracking of a flexible-joint arm using neural networks. Neural Process Lett 32(2):201–218CrossRef
Zurück zum Zitat Macnab C, D’Eleuterio G (2000) Discrete-time Lyapunov design for neuroadaptive control of elastic-joint robots. Int J Robot Res 19:511–525CrossRef Macnab C, D’Eleuterio G (2000) Discrete-time Lyapunov design for neuroadaptive control of elastic-joint robots. Int J Robot Res 19:511–525CrossRef
Zurück zum Zitat Miller III W, Glanz F, Kraft L (1990) CMAC: an associative neural network alternative to backpropagation. Proc IEEE 78(10):1561–1567CrossRef Miller III W, Glanz F, Kraft L (1990) CMAC: an associative neural network alternative to backpropagation. Proc IEEE 78(10):1561–1567CrossRef
Zurück zum Zitat Miller III W, Hewes P, Glanz F, Kraft L (1990) Real-time dynamic control of an industrial manipulator using a neural-network-based learning controller. IEEE Trans Robot Automat 6(1):1–9CrossRef Miller III W, Hewes P, Glanz F, Kraft L (1990) Real-time dynamic control of an industrial manipulator using a neural-network-based learning controller. IEEE Trans Robot Automat 6(1):1–9CrossRef
Zurück zum Zitat Nakanishi J, Schaal S (2004) Feedback error learning and nonlinear adaptive control. Neural Netw 17:1453–1465MATHCrossRef Nakanishi J, Schaal S (2004) Feedback error learning and nonlinear adaptive control. Neural Netw 17:1453–1465MATHCrossRef
Zurück zum Zitat Ozgoli S, Taghirad HD (2006) A survey on the control of flexible joint robots. Asian J Control 8(4):1–15MathSciNet Ozgoli S, Taghirad HD (2006) A survey on the control of flexible joint robots. Asian J Control 8(4):1–15MathSciNet
Zurück zum Zitat Rokui M, Khorasani K (1997) An indirect adaptive control for fully feedback linearizable discrete-time non-linear systems. Int J Adapt Contr Sig Proc 11:665–680MathSciNetMATHCrossRef Rokui M, Khorasani K (1997) An indirect adaptive control for fully feedback linearizable discrete-time non-linear systems. Int J Adapt Contr Sig Proc 11:665–680MathSciNetMATHCrossRef
Zurück zum Zitat Rokui MR, Khorasani K (2000) Experimental results on discrete-time nonlinear adaptive tracking control of a flexible link manipulator. IEEE Trans Syst Man Cybern B 30(1):151–164CrossRef Rokui MR, Khorasani K (2000) Experimental results on discrete-time nonlinear adaptive tracking control of a flexible link manipulator. IEEE Trans Syst Man Cybern B 30(1):151–164CrossRef
Zurück zum Zitat Spong M, Vidyasagar M (1989) Robot dynamics and control. Wiley, New York Spong M, Vidyasagar M (1989) Robot dynamics and control. Wiley, New York
Zurück zum Zitat Suna FC, Lib HX, Lic L (2002) Robot discrete adaptive control based on dynamic inversion using dynamical neural networks. Automatica 38:1977–1983CrossRef Suna FC, Lib HX, Lic L (2002) Robot discrete adaptive control based on dynamic inversion using dynamical neural networks. Automatica 38:1977–1983CrossRef
Zurück zum Zitat Tian L, Wang J, Mao Z (2004) Constrained motion control of flexible robot manipulators based on recurrent neural networks. IEEE Trans Syst Man Cybern B 34(3):1541–1552CrossRef Tian L, Wang J, Mao Z (2004) Constrained motion control of flexible robot manipulators based on recurrent neural networks. IEEE Trans Syst Man Cybern B 34(3):1541–1552CrossRef
Zurück zum Zitat Wang HR, Yang L, Wei LX (2007) Fuzzy-neuro position/force control for robotic manipulators with uncertainties. Soft Comput 11:311–315MATHCrossRef Wang HR, Yang L, Wei LX (2007) Fuzzy-neuro position/force control for robotic manipulators with uncertainties. Soft Comput 11:311–315MATHCrossRef
Metadaten
Titel
Discrete-time weight updates in neural-adaptive control
verfasst von
D. Richert
K. Masaud
C. J. B. Macnab
Publikationsdatum
01.03.2013
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 3/2013
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-012-0918-1

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