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Near-Minimum-Time Control of Smart Structures for Slew Maneuver

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Abstract

We present a methodology for designing globally stable tracking controllers for both large-angle slewing and vibration suppression of flexible space structures, which makes use of both reaction wheel torquing and piezoelectric actuation. For illustration, we consider a flexible space structure configuration consisting of a reaction wheel mounted on a central hub and four cantilevered appendages to which piezoelectric actuators and sensors are attached. Lyapunov stability theory is applied to a hybrid ordinary/partial differential equation model of the dynamics to establish a stable controller for simultaneous slewing and vibration suppression. Two different control laws are developed utilizing a hybrid set of sensors and actuators: piezoelectric sensors/actuators, and a reaction wheel. Analytic expressions of the performance index are derived for a constant gain control law to find the optimal gain set which guarantees excellent performance characteristics beyond the realm of global stability. The formulation is such that the reaction wheel and piezoelectric control inputs are independently stabilizing and can either be simultaneously or independently tuned over a known stable region of gain space. Simulations are presented which establish a basis for our conclusion that both controllers are very attractive for a class of practical applications.

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References

  1. JUNKINS, J.L., RAHMAN, Z.H., and BANG, H. “Near-Minimum Time Control of Distributed Parameter Systems: Analytical and Experimental Results,” Journal of Guidance, Control, and Dynamics, Vol. 14, No. 2, March–April 1991, pp. 406–415.

    Article  Google Scholar 

  2. JUNKINS, J.L., RAHMAN, Z.H., and BANG, H. “Stable Maneuver Control Laws for Distributed Parameter Systems,” Dynamics of Flexible Structures in Space, Computational Mechanics, Springer-Verlag, New York, 1990, pp. 21–44.

    Google Scholar 

  3. JUNKINS, J. L., and KIM, Y. Introduction to Dynamics and Control of Flexible Structures, AIAA Education Series, Washington, DC, 1993.

    Book  Google Scholar 

  4. FUJII, H., T. OHTUSUKA, T., and ODOU, S. “Mission Function Control for Slew Maneuver Experiment,” Journal of Guidance, Control, and Dynamics, Vol. 14, No. 5, September–October 1991, pp. 986–992.

    Article  Google Scholar 

  5. Kynar Piezo Film Technical Manual, Penwalt Corporation, 1985.

  6. CRAWLEY, E. F., and DE LUIS, J. “Use of Piezoelectric Actuators as Elements of Intelligent Structures,” AIAA Journal, Vol. 25, No. 10, 1987, pp. 1373–1385.

    Article  Google Scholar 

  7. BAILEY, T., and HUBBARD JR., J. E. “Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam,” Journal of Guidance, Control, and Dynamics, Vol. 8, No. 5, September–October 1985, pp. 605–606.

    Article  Google Scholar 

  8. HANAGUD, S., OBAL, M. W., and CALISE, A. J. “Optimal Vibration Control by the Use of Piezoceramic Sensors and Actuators,” Journal of Guidance, Control, and Dynamics, Vol. 15, No. 5, September–October 1992, pp. 1199–1206.

    Article  Google Scholar 

  9. PREUMONT, A., DUFOUR, J.P., and MALEKIAN, C. “Active Damping by a Local Force Feedback with Piezoelectric Actuators,” Journal of Guidance, Control, and Dynamics, Vol. 15, No. 2, March–April 1992, pp. 390–395.

    Article  Google Scholar 

  10. CRAIG, JR., R. Structural Dynamics: An Introduction to Computer Methods, Wiley, New York, 1991.

    Google Scholar 

  11. MEIROVITCH, L. Computational Methods in Structural Dynamics, Sijthoff & Noordhoff, The Netherlands, 1980.

    MATH  Google Scholar 

  12. BECKER, E. B., CAREY, G. F., and ODEN, J. T. Finite Elements-An Introduction: Volume I, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1981.

    MATH  Google Scholar 

  13. BANG, H., JUNKINS, J.L., and FLEMING, P.J. “Lyapunov Optimal Control Laws for Flexible Structure Maneuver and Vibration Control,” Journal of the Astronautical Sciences, Vol. 41, No. 1, January–March 1993, pp. 91–118.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Aerospace Engineering, Seoul National University, Seoul, Korea

    Youdan Kim (Associate Professor), Jinyoung Suk (Graduate Student) & Seongpil Kim (Graduate Student)

  2. Department of Aerospace Engineering, Texas A&M University, TX, 77843, College Station, USA

    John L. Junkins (George J. Eppright Chair Professor)

Authors
  1. Youdan Kim
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  2. Jinyoung Suk
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  3. Seongpil Kim
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  4. John L. Junkins
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Kim, Y., Suk, J., Kim, S. et al. Near-Minimum-Time Control of Smart Structures for Slew Maneuver. J of Astronaut Sci 45, 91–111 (1997). https://doi.org/10.1007/BF03546383

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  • DOI: https://doi.org/10.1007/BF03546383

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