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Volumn 42, Issue 7, 1997, Pages 912-927

An approach to parametric nonlinear least square optimization and application to task-level learning control

Author keywords

Approximation; Convergence; Flexible manipulator; Learning control; Levenberg Marquardt optimization; Parametric nonlinear least squares; Parametric programming; Radial basis function network

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONTROL SYSTEM ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; ITERATIVE METHODS; LEARNING SYSTEMS; NEURAL NETWORKS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; VECTORS;

EID: 0031192544     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.599970     Document Type: Article
Times cited : (45)

References (43)
  • 3
    • 84995039499 scopus 로고
    • Bettering operation of robots by learning
    • S. Arimoto, S. Kawamura, and F. Miyazaki, "Bettering operation of robots by learning," J. Robotic Syst., vol. 1, pp. 123-140, 1984.
    • (1984) J. Robotic Syst. , vol.1 , pp. 123-140
    • Arimoto, S.1    Kawamura, S.2    Miyazaki, F.3
  • 5
    • 0025846249 scopus 로고
    • Task-leva learning: Experiments and extensions
    • Sacramento, CA, Apr.
    • M. S. Branicky, "Task-leva learning: Experiments and extensions," in Proc. 1991 IEEE Int. Conf. Robotics Automation, Sacramento, CA, Apr. 1991. pp. 266-271.
    • (1991) Proc. 1991 IEEE Int. Conf. Robotics Automation , pp. 266-271
    • Branicky, M.S.1
  • 6
    • 0000621802 scopus 로고
    • Multivariable functional interpolation and adaptive networks
    • D. S. Broomhead and D. Lowe, "Multivariable functional interpolation and adaptive networks," Complex Syst., no. 2, pp. 321-355, 1988.
    • (1988) Complex Syst. , Issue.2 , pp. 321-355
    • Broomhead, D.S.1    Lowe, D.2
  • 7
    • 84947626826 scopus 로고
    • Recursive hybrid algorithm for nonlinear systems identification using radial basis function networks
    • S. Chen, S.A. Billings, and P. M. Grant, "Recursive hybrid algorithm for nonlinear systems identification using radial basis function networks," Int. J. Contr., vol. 55, no. 5, pp. 1051-1070, 1992.
    • (1992) Int. J. Contr. , vol.55 , Issue.5 , pp. 1051-1070
    • Chen, S.1    Billings, S.A.2    Grant, P.M.3
  • 10
    • 34648814010 scopus 로고
    • Using learning technique to accommodate unanticipated faults
    • J. A. Farrel, T. Berger, and B. D. Appleby, "Using learning technique to accommodate unanticipated faults," IEEE Contr. Syst. Mag., vol. 15, no. 3, pp. 16-24, 1995.
    • (1995) IEEE Contr. Syst. Mag. , vol.15 , Issue.3 , pp. 16-24
    • Farrel, J.A.1    Berger, T.2    Appleby, B.D.3
  • 11
    • 84968515237 scopus 로고
    • Scattered data interpolation: Test of some methods
    • R. Franke, "Scattered data interpolation: Test of some methods," Math. Comput., vol. 38, no. 157, pp. 181-200, 1982.
    • (1982) Math. Comput. , vol.38 , Issue.157 , pp. 181-200
    • Franke, R.1
  • 14
    • 0012102251 scopus 로고
    • Experiments in direct learning of feedforward control for manipulator path tracking
    • D. M. Gorinevsky, "Experiments in direct learning of feedforward control for manipulator path tracking," Robotersysteme, vol. 8, pp. 139-147, 1992.
    • (1992) Robotersysteme , vol.8 , pp. 139-147
    • Gorinevsky, D.M.1
  • 15
    • 0027345686 scopus 로고
    • Modeling of direct motor program learning in fast human arm motions
    • _, "Modeling of direct motor program learning in fast human arm motions," Biological Cybern., vol. 69, pp. 219-228, 1993.
    • (1993) Biological Cybern. , vol.69 , pp. 219-228
  • 16
    • 0027004946 scopus 로고
    • Learning open-loop terminal control
    • Chicago, IL, June
    • _, "Learning open-loop terminal control," in Proc. Amer. Contr. Conf., Chicago, IL, June 1992, vol. 3, pp. 1900-1901.
    • (1992) Proc. Amer. Contr. Conf. , vol.3 , pp. 1900-1901
  • 17
    • 0029373360 scopus 로고
    • On the persistency of excitation in radial basis function network identification of nonlinear systems
    • _, "On the persistency of excitation in radial basis function network identification of nonlinear systems," IEEE Trans. Neural Networks, vol. 4, no. 5, pp. 1237-1244, 1995.
    • (1995) IEEE Trans. Neural Networks , vol.4 , Issue.5 , pp. 1237-1244
  • 18
    • 0009453294 scopus 로고
    • Comparison of some neural network and scattered data approximations: The inverse manipulator kinematics example
    • D. M. Gorinevsky and T. H. Connolly, "Comparison of some neural network and scattered data approximations: The inverse manipulator kinematics example," Neural Computation, vol. 6, no. 3, pp. 519-540, 1994.
    • (1994) Neural Computation , vol.6 , Issue.3 , pp. 519-540
    • Gorinevsky, D.M.1    Connolly, T.H.2
  • 19
    • 0030173206 scopus 로고    scopus 로고
    • Radial basis function network architecture for nonholonomic motion planning and control of free-flying manipulators
    • D. M. Gorinevsky, A. Kapitanovsky, and A. A. Goldenberg, "Radial basis function network architecture for nonholonomic motion planning and control of free-flying manipulators," IEEE Trans. Robotics Automation, vol. 12, no. 3, pp. 491-496, 1996.
    • (1996) IEEE Trans. Robotics Automation , vol.12 , Issue.3 , pp. 491-496
    • Gorinevsky, D.M.1    Kapitanovsky, A.2    Goldenberg, A.A.3
  • 20
    • 0029733822 scopus 로고    scopus 로고
    • Neural network architecture and controller design for automated car parking
    • _, "Neural network architecture and controller design for automated car parking," IEEE Trans. Contr. Syst. Technol., vol. 4, no. 1, pp. 50-56, 1996.
    • (1996) IEEE Trans. Contr. Syst. Technol. , vol.4 , Issue.1 , pp. 50-56
  • 21
    • 0029191204 scopus 로고
    • Learning approximation of feedforward dependence on the task parameters Experiments in direct-drive manipulator tracking
    • Seattle, WA, June
    • D. Gorinevsky, D. Torfs, and A. A. Goldenberg, "Learning approximation of feedforward dependence on the task parameters Experiments in direct-drive manipulator tracking," in Proc. Amer. Contr. Conf., Seattle, WA, June 1995, pp. 883-887.
    • (1995) Proc. Amer. Contr. Conf. , pp. 883-887
    • Gorinevsky, D.1    Torfs, D.2    Goldenberg, A.A.3
  • 22
    • 0024051135 scopus 로고
    • Repetitive control systems a new type of servo systems for periodic exogenous signals
    • S. Hara, Y. Yamamoto, T. Omata, and M. Nakano, "Repetitive control systems A new type of servo systems for periodic exogenous signals," IEEE Trans. Automat. Contr., vol. 33, no. 7, pp. 659-668, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.33 , Issue.7 , pp. 659-668
    • Hara, S.1    Yamamoto, Y.2    Omata, T.3    Nakano, M.4
  • 23
    • 0026954775 scopus 로고
    • Neural networks for control systems - A survey
    • K. J. Hunt, D. Sbarbaro, R. Zbikowski, and P. J. Gawthorp, "Neural networks for control systems - A survey," Automatica, vol. 28, no. 6, pp. 1083-1112, 1992.
    • (1992) Automatica , vol.28 , Issue.6 , pp. 1083-1112
    • Hunt, K.J.1    Sbarbaro, D.2    Zbikowski, R.3    Gawthorp, P.J.4
  • 24
    • 0012493186 scopus 로고
    • On parametric nonlinear programming
    • H. T. Jongen and G.-W. Weber, "On parametric nonlinear programming," Ann. Operation Res, vol. 27, pp. 253-284, 1990.
    • (1990) Ann. Operation Res , vol.27 , pp. 253-284
    • Jongen, H.T.1    Weber, G.-W.2
  • 25
    • 0026106824 scopus 로고
    • A new adaptive learning rule
    • W. Messner et al., "A new adaptive learning rule," IEEE Trans. Automat. Contr., vol. 36, no. 2, pp. 188-197, 1991.
    • (1991) IEEE Trans. Automat. Contr. , vol.36 , Issue.2 , pp. 188-197
    • Messner, W.1
  • 26
    • 0027701879 scopus 로고
    • Robust receding horizon control of constrained nonlinear systems
    • H. Michalska and D. Q. Mayne, "Robust receding horizon control of constrained nonlinear systems," IEEE Trans. Automat. Contr., vol. 38, no. 11, pp. 1623-1633, 1993.
    • (1993) IEEE Trans. Automat. Contr. , vol.38 , Issue.11 , pp. 1623-1633
    • Michalska, H.1    Mayne, D.Q.2
  • 27
    • 0029267317 scopus 로고
    • Observer design for nonlinear systems with discrete-time measurements
    • P. Moraal and J. W. Grizzle, "Observer design for nonlinear systems with discrete-time measurements," IEEE Trans. Automat. Contr., 1995.
    • (1995) IEEE Trans. Automat. Contr.
    • Moraal, P.1    Grizzle, J.W.2
  • 29
    • 0024088696 scopus 로고
    • An iterative learning control method with application for the robot manipulator
    • S. R. Oh, Z. Bien, and I. H. Suh, "An iterative learning control method with application for the robot manipulator," IEEE J. Robotics Automation, vol. 4, no. 5, pp. 508-514, 1988.
    • (1988) IEEE J. Robotics Automation , vol.4 , Issue.5 , pp. 508-514
    • Oh, S.R.1    Bien, Z.2    Suh, I.H.3
  • 30
    • 0030169366 scopus 로고    scopus 로고
    • Neural approximations for multistage optimal control of nonlinear stochastic systems
    • T. Parizini and R. Zoppoli, "Neural approximations for multistage optimal control of nonlinear stochastic systems," IEEE Trans. Automat. Contr., vol. 41, no. 6, pp. 889-895, 1996.
    • (1996) IEEE Trans. Automat. Contr. , vol.41 , Issue.6 , pp. 889-895
    • Parizini, T.1    Zoppoli, R.2
  • 31
    • 0000106040 scopus 로고
    • Universal approximation using radialbasis-function networks
    • J. Park and I. W. Sandberg, "Universal approximation using radialbasis-function networks," Neural Computation, vol. 3, pp. 246-257, 1991.
    • (1991) Neural Computation , vol.3 , pp. 246-257
    • Park, J.1    Sandberg, I.W.2
  • 32
    • 0029322288 scopus 로고
    • Intelligent control for autonomous systems
    • June
    • K. M. Passino, "Intelligent control for autonomous systems," IEEE Spectrum, vol. 32, pp. 55-62, June 1995.
    • (1995) IEEE Spectrum , vol.32 , pp. 55-62
    • Passino, K.M.1
  • 33
    • 0025490985 scopus 로고
    • Networks for approximation and learning
    • T. Poggio and F. Girosi, "Networks for approximation and learning," Proc. IEEE, vol. 78, no. 9, pp. 1481-1497, 1990.
    • (1990) Proc. IEEE , vol.78 , Issue.9 , pp. 1481-1497
    • Poggio, T.1    Girosi, F.2
  • 35
    • 0029322303 scopus 로고
    • Learning methodology for failure detection and accommodation
    • M.M. Polycarpou and A. T. Vemuri, "Learning methodology for failure detection and accommodation," IEEE Contr. Syst. Mag., vol. 15, no. 3, pp. 16-24, 1995.
    • (1995) IEEE Contr. Syst. Mag. , vol.15 , Issue.3 , pp. 16-24
    • Polycarpou, M.M.1    Vemuri, A.T.2
  • 36
    • 6244225881 scopus 로고
    • Bifurcations in parametric nonlinear programming
    • A. B. Poorey, "Bifurcations in parametric nonlinear programming," Ann. Operation Res, vol. 27, pp. 443-370, 1990.
    • (1990) Ann. Operation Res , vol.27 , pp. 443-1370
    • Poorey, A.B.1
  • 37
    • 0001355838 scopus 로고
    • Radial basis functions for multivariable interpolation: A review
    • J. C. Mason and M. G. Cox, Eds. Oxford: Clarendon
    • M. J. D. Powell, "Radial basis functions for multivariable interpolation: A review," in Algorithms for Approximation, J. C. Mason and M. G. Cox, Eds. Oxford: Clarendon, 1987, pp. 143-168.
    • (1987) Algorithms for Approximation , pp. 143-168
    • Powell, M.J.D.1
  • 38
    • 0001739142 scopus 로고
    • The theory of radial basis function approximation in 1990
    • W. Light, Ed. Oxford: Clarendon
    • _, "The theory of radial basis function approximation in 1990," in Advances in Numerical Analysis, W. Light, Ed. Oxford: Clarendon, 1992, vol. 2, pp. 102-205.
    • (1992) Advances in Numerical Analysis , vol.2 , pp. 102-205
  • 39
    • 0026954302 scopus 로고
    • Gaussian networks for direct adaptive control
    • R. M. Sanner and J.-J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Networks, vol. 3, no. 6, pp. 837-863, 1992.
    • (1992) IEEE Trans. Neural Networks , vol.3 , Issue.6 , pp. 837-863
    • Sanner, R.M.1    Slotine, J.-J.E.2
  • 40
    • 0023539555 scopus 로고
    • Modeling and control of elastic joint robots
    • M. Spong, "Modeling and control of elastic joint robots," Trans. ASME J. Dynam. Syst. Meas. Contr., vol. 109, no. 4, pp. 310-319, 1987.
    • (1987) Trans. ASME J. Dynam. Syst. Meas. Contr. , vol.109 , Issue.4 , pp. 310-319
    • Spong, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.