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Synthesis of Manipulation Control

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Part of the book series: Communications and Control Engineering Series ((1186,volume 2))

Abstract

In this chapter we present the theoretical basis of the control synthesis of complex mechanical systems, such as robots and manipulators. As we have said, we shall treat only the problem of the control synthesis of the realization of prescribed mechanism motion, i.e., we treat the two lowest hierarchical levels of robot and manipulator control under the supposition that, at the higher control levels, the task (the motion to be realized by the robot) has been defined. In this chapter systems of robots and manipulators will be considered without the action of external forces, so that the system behaves as an open kinematic chain.

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References

  1. Vukobratović, K.M., D.M. Stokić, “Postural Stability of Anthropomorphic Active` Mechanisms”, Mathematical Biosciences, Vol. 25, No 3/4, 1975.

    Google Scholar 

  2. Stokić, M.D., M.K. Vukobratović, “Dynamic Control of Biped Posture”, Mathematical Biosciences, Vol. 44, No. 2, 1979.

    Google Scholar 

  3. Vukobratović, K.M., Legged Locomotion Robots and Anthropomorphic Mechanisms, Monograph, Institute “M. Pupin” (in English) Beograd, 1975, also published by Mir, Moscow, (in Russian) 1976.

    Google Scholar 

  4. Reutemberg, J.N., Automatic Control, (in Russian), Nauka, Moscow, 1971.

    Google Scholar 

  5. Sandell, N.R., P. Varaiya, M. Athans, “A Syrvey of Decentralized Control Methods for Large-Scale Systems”, Proc. of the ERDA Conference on System Engineering for Power: Status and Prospects, 1976.

    Google Scholar 

  6. Sandell, N.P., P. Varaiya, M. Athans, M.G. Safonov, “Survey of Decentralized Control Methods for Large-Scale Systems”, IEEE Trans. on Automatic Control, AC-23, 108–128, 1978.

    Article  MathSciNet  Google Scholar 

  7. Davison, E.J., “The Robust Decentralized Control of a General Servomechanism Problem”, IEEE Tran. on Automatic Control AC-21, 14–24, 1976.

    Article  MathSciNet  Google Scholar 

  8. Šiljak, D.D., Large-Scale Dynamic Systems: Stability and Structure, North-Holland, New York, 1978.

    MATH  Google Scholar 

  9. Vukobratović, K.M., “How to Control the Artificial Anthropomorphic Systems”. IEEE Trans. on Systems, Man and Cybernetics, SMC-3, 497–507, 1973.

    Article  Google Scholar 

  10. Vukobratović, K.M., D.M. Stokić, N.V. Gluhajić, D.S. Hristić, “One Method of Control for Large-Scale Humanoid Systems”, Mathematical Biosciences, Vol. 36, No 3/4, 1977.

    Google Scholar 

  11. Vukobratović K.M., D.M. Stokić, “Simplified Control Procedure of Strongly Coupled Complex Nonlinear Mechanical Systems”, (in Russian), Avtomatika and telemechanika, No. 11, also in English, Autom. and Remote Control, Vol, 39, No. 11, 1978.

    Google Scholar 

  12. Vukobratović, K.M., D.M. Stokić, “Contribution to the Decoupled Control of Large-Scale Mechanical Systems”, Automatica, Jan., No. 1, 1980.

    Google Scholar 

  13. Vukobratović, K.M., D.M. Stokić, D.S. Hristić, “A New Control Concept of Anthropomorphic Manipulators”, Proc. of Second Conferen-ce of Remotely Manned Systems, Los Angeles, June, 1975.

    Google Scholar 

  14. Vukobratović, K.M., D.M. Stokić, “Choice of Decoupled Control Law of Large Scale Mechanical Systems”, Proc. of Second Symp. on Large-Scale Systems:Theory and Applications, Toulouse, 181–192, 1980, also in Large-Scale Systems-Theory and Application, June, 1981.

    Google Scholar 

  15. Stokić, M.D., M.K. Vukobratović, “Decoupled Control of Non-Redundant Manipulators”, (in Serbian), Proc. I Yugoslav Symp. on Industrial Robotics and Artif. Intell., Dubrovnik, 1979.

    Google Scholar 

  16. Šiljak, D.D., M. Sundareshan, “A Multilevel Optimization of Large-Scale Dynamic Systems”, IEEE Trans. on Automatic Control, AC-21, 79–84, 1978.

    Google Scholar 

  17. Johnson, D.C., “Accomodation of External Disturbances in Linear Regulator and Servomechanism Problems”,IEEE Trans. AC-16, 552–554, 1971.

    Google Scholar 

  18. Athans, M., P.L. Falb, Optimal Control, McGraw-Hill, 1966.

    Google Scholar 

  19. Vukobratović, K.M., Y. Stepanenko, “On the Stability of Anthropomorphic Systems”, Mathematical Biosciences, Vol. 15, October, 1972.

    Google Scholar 

  20. Vukobratović, K.M., D.M. Stokić, D.S. Hristić, “Dynamic Control of Anthropomorphic Manipulators”,Proc. of IV International Symp. on Industrial “Robots, Tokyo, 1974.

    Google Scholar 

  21. Vukobratović, K.M., D.M. Stokić, A Concept of Flight Dynamic Control“,Proc. of VI IFAC Symp. on Automatic Control in Space, USSR, Erevan, 1974.

    Google Scholar 

  22. Vukobratović, K.M., et al., “Analysis of Energy Demand Distribution within Anthropomorphic Systems”, Trans. of the ASME, Journal of Dynamic Systems, Measurement and Control, Dec.,1973.

    Google Scholar 

  23. Kahn, M.E., B. Roth, “The Near Minimum Time Control of Open Loop Articulated Kinematic Chains”, Trans. of the ASME, Journal of Dynamic Systems, Measurement and Control, September, 164–172. 1971

    Google Scholar 

  24. Anderson, B.D., J.B. Moore, Linear Optimal Control. Prentice-Hall, Englewood Cliffs, New Jersey, 1971.

    MATH  Google Scholar 

  25. Kalman, R.E., “Contribution to the Theory of Optimal Control”. Buletin de la Sociedad Matematica Mexicana, 1960.

    Google Scholar 

  26. Letov, A.M., “The Analytical Design of Control Systems”, Automatica and Remote Control, Vol. 21, 389–393, 1960.

    MATH  Google Scholar 

  27. Laub, A.J., I.F.N. Balley, “Suboptimality Bounds and Stability in the Control of Nonlinear Dynamic Systems”, IEEE Trans. on Automatic Control, 396–399, 1976.

    Google Scholar 

  28. Bailey, F.N., H.K. Ramapriyan, “Bounds on Suboptimality in the Control of Linear Dynamic Systems”, IEEE Trans. on Automatic Control, Octòber, 532–534, 1973.

    Google Scholar 

  29. Medvedov, V.S., A.I. Maksimov, “Analytical Construction of Aircraft Spatial Motion Control Systems”, Proc. of V IFAC Symp. on Automatic Control in Space, Genova, 1973.

    Google Scholar 

  30. Aoki, M., “On Feedback Stabilizability of Decentralized Dynamic Systems”, Automatica, Vol. 8, No. 2, 1972.

    Google Scholar 

  31. Šiljak, D.D., “Multilevel Stabilization of Large-Scale Systems: A Spinning Flexible Spacecraft”, Automatica, July, 1976.

    Google Scholar 

  32. Araki, M., “Stability of Large-Scale Nonlinear Systems - Quadratic Order Theory of Composite System Method Using M-matrices”, IEEE Trans. on Automatic Control, Vol. AC-23, No. 2, 129–142, 1978.

    Article  MathSciNet  Google Scholar 

  33. Weissenberger, S., “Stability Regions of Large-Scale Systems”, Automatica, Vol. 9, 653–663, 1973.

    Article  MATH  MathSciNet  Google Scholar 

  34. Morari, M., G. Stephanopoulos, A. Routherford, “Finite Stability Region for Large-Scale Systems with Stable and Unstable Subsystems”, Internat. Journal of Control, Vol. 26, No. 5, 805–815, 1977.

    MATH  Google Scholar 

  35. Vukobratovid, K.M., D.M. Stokid, “Significance of Force Feedback in Controlling Artificial Locomotion-Manipulation Systems”, IEEE Trans. on Biomedical Engineering, December, 1980.

    Google Scholar 

  36. Harvey, C.H., G. Stein, “Quadratic Weights for Asymptotic Regulator Properties”, IEEE Trans. on Automatic Control, Vol. AC-23, 378–388, 1978.

    Article  MathSciNet  Google Scholar 

  37. Vukobratovid K.M., N.M. Kirdanski, “Decoupled Control of Industrial Manipulators via Asymptotic Regulators”, (in Russian), Teknicheskaya kibernetika, No. 3, 1982.

    Google Scholar 

  38. Levis, H.A., A.R. Schlueter, M. Athans, “On the Behaviour of Optimal Linear Sampled-Data Regulators”, Int. J. of Control, Vol. 13, No. 2, 343–363, 1971.

    Article  MATH  Google Scholar 

  39. Cadzow, A.J., H.R. Martens, Discrete-Time and Computer Control Systems, Prentice-Hall, Englewood Cliffs, New Jersey, 1970.

    Google Scholar 

  40. Stokid, M.D., M.K. Vukobratovid, “Further Development of Dynamic Algorithms for Industrial Robots Control”, International Conference on Systems Engineering, Coventry, England, 1980.

    Google Scholar 

  41. Coiffet, P., J.N. Dumas, P. Molinier, J. Vertut, “Real Time Problems in Computer Control of Robots”, Proc. VII ISIR, Japan, 145–152, 1977.

    Google Scholar 

  42. Luenberger, D.G., “An Introduction to Observers”, IEEE Trans. on Autom. Control, Vol. AC-16, No. 6, 1971.

    Google Scholar 

  43. Chen, C.T., Introduction to Linear System Theory, Holt, Rinehart, and Winston, New York, 1970.

    Google Scholar 

  44. Vukobratović, K.M., V.S. Cvetković, “Concept of Manipulation Robots Simulator”, Prepr. of IV IFToMM Symp. on Theory and Practice of Robots and Manipulators, Warsaw, 1981.

    Google Scholar 

  45. Vukobratović, K.M., V. Potkonjak, D.S. Hristić, “Contribution to the Computer Aided Design of Industrial Manipulators”, Prepr. of IV IFToMM Symp. on Theory and Practice of Robots and Manipulators, Warsaw, 1981.

    Google Scholar 

  46. Vukobratović, K.M., D.M. Stokić, M.V. Kirdanski, “A Procedure for Interactive Dynamic Control Synthesis of Manipulators”, Prepr. of IV IFToMM Symp. on Theory and Practice of Robots and Manipulators, Warsaw, 1931.

    Google Scholar 

  47. Sworder, D., “A Feedback Regulator for Following Reference Trajectory”, IEEE Trans. on Automatic Control, Vol. AC-22, No. 6, 1977.

    Google Scholar 

  48. Aoki, M., “Some Approximation Methods for Estimation and Control of Large-Scale Systems”, IEEE Trans. on Automatic Control, Vol. AC-23, No 2, 1978.

    Google Scholar 

  49. Šiljak D.D., M.B. Vukdevid, “On Decentralized Estimation”, International Journal of Control, Vol. 27, No. 1, pp. 113–131, 1978.

    Article  MATH  MathSciNet  Google Scholar 

  50. Weissenberger, S., “Stability Regions of Large-Scale Systems”, Automatica, Vol. 9, 653–663, 1973.

    Article  MATH  MathSciNet  Google Scholar 

  51. Vukobratovie, K.PI., D.M. Stokić, “Contribution to the Decoupled Control of Large-Scale Mechanical Systems”, Automatica, Jan. No. 1

    Google Scholar 

  52. Vukobratović, K.M., D.M. Stokid, “Choice of Decoupled Control Law of Large Scale Mechanical Systems”, Proc. of Second Symp. on Large-Scale Systems Theory and Applications, Toulouse, 1980, also in Large-Scale Systems-Theory and Application, June 1981.

    Google Scholar 

  53. Luenberger, D.G., “An Introduction to Observers”, IEEE Trans. on Autom. Control, Vol. AC-16, No. 6, 1971.

    Google Scholar 

  54. Chen, C.T., Introduction to Linear System Theory, Holt, Rinehart, and Winston, New York, 1970.

    Google Scholar 

  55. Šiljak, D.D. “Multilevel Stabilization of Large-Scale Systems: A Spinning Flexible Spacecraft”, Automatica, July, 1976.

    Google Scholar 

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© 1982 Springer-Verlag Berlin, Heidelberg

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Vukobratović, M., Stokić, D. (1982). Synthesis of Manipulation Control. In: Control of Manipulation Robots. Communications and Control Engineering Series, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81857-8_3

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  • DOI: https://doi.org/10.1007/978-3-642-81857-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81859-2

  • Online ISBN: 978-3-642-81857-8

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