25
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Stability and robustness analysis of boundary control of a flexible space structure

, , &
Pages 1759-1776 | Received 15 Feb 1993, Published online: 08 Jul 2010

References

  • AHMED , N. U. , and Li , P. , 1991 , Invariance of asymptotic stability of perturbed linear systems on Hilbert space . Journal of Optimization Theory and Applications , 68 , 75 – 93 .
  • AIAA , 1984 , Large space structure control early experiments . Journal of Guidance Control and Dynamics , 7 , 513 – 562 .
  • BALAKRISHNAN , A. V. , and TAYLOR , L. W. JR , (editors), 1986 , The SCOLE design challenge . Proceedings of the 3rd Annual NASA SCOLE Workshop , Hampton , U.S.A .
  • BALAKRISHNAN , A. V. , 1984 , A mathematical formulation of the SCOLE control problem . Proc. SCOLE Workshop , Hampton , U.S.A , pp. 87 – 103 ; 1988, Some nonlinear damping models in flexible structures. NASA TM 101503, pp. 54–66; 1991, Compensator design for stability enhancement with colocated controllers. IEEE Transactions on Automatic o Control, 36, 994–1007 .
  • BALAS , M. J. , 1982 , Trends in large space structure control theory fondest hopes, wildest dreams . IEEE Transactions on Automatic Control , 27 , 522 – 535 .
  • BARMISH , B. R. , CORLESS , M. , and LEITMANN , G. , 1983 , A new class of stabilizing controllers for uncertain dynamical systems . SIAM Journal on Control and Optimization , 21 , 246 – 255 .
  • BISWAS , S. K. , and AHMED , N. U. , 1986 , Stabilization of a class of hybrid systems arising in flexible spacecraft . Journal of Optimization Theory and Applications , 50 , 83 – 103 .
  • CHEN , G. , 1981 , A note on the boundary stabilization of the wave equation . SIAM Journal on Control and Optimization , 19 , 106 – 113 .
  • CHEN , G. , and RUSSELL , D. L. , 1982 , A mathematical model for linear elastic systems with structural damping . Quarterly of Applied Mathematics , 39 , 433 – 454 .
  • CURTAIN , R. F. , and PRITCHARD , A. J. , 1978 , Infinite Dimensional Linear Systems Theory , Lecture Notes in Control and Information Sciences ( New York Springer-Verlag ).
  • GARCIA , E. , and INMAN , D. J. , 1991 , Modeling of the slewing control of a flexible structure . Journal of Guidance , 14 , 736 – 742 .
  • HUANG , F. L. , 1988 , On the mathematical model for linear elastic systems with analytic damping . SIAM Journal on Control and Optimization , 26 , 714 – 724 .
  • KATO , T. , 1980 , Perturbation Theory for Linear Operators ( New York Springer-Verlag ).
  • LEVAN , N. , 1986 , Control Problems for Systems Described by Partial Differential Equations and Applications , Lecture Notes in Control and Information Sciences ( New York Springer-Verlag ), p. 313 .
  • Li , P. , 1991 , Controllability, stability and stabilizability of distributed parameter systems . Ph.D. thesis , University of Ottawa .
  • Li , P. , and AHMED , N. U. , 1992 , Stabilization of some distributed parameter systems . IEEE Transactions on Automatic Control , 37 , 1184 – 1188 .
  • LIM , S. S. , and AHMED , N. U. , 1989 , Mathematical modeling and stabilization of large flexible spacecraft subject to orbital perturbation . Mathematical and Computer Modelling , 12 , 1487 – 1499 ; 1992 , Modeling and stabilization of large flexible space stations. Dynamics and Control, 2 , 5 – 31 .
  • LITTMAN , W. , and MARKUS , L. , 1987 , Stabilization of a hybrid system of elasticity by feedback boundary damping . Mathematics Report No . 86 – 135 , University of Minnesota 1988, Exact boundary controllability of a hybrid system of elasticity. Archive for Rational Mechanics and Analysis, 103, 193–236 .
  • LITTMAN , W. L. , MARKUS , L. , and You , Y. C. , 1987 , A note on stabilization and controllability of a flybrid elastic system with boundary control . Mathematics Report No . 87 – 103 , University of Minnesota .
  • MORGUL , O. , 1991 , IEEE Transactions on Automatic Control , 36 , 953 .
  • PAZY , A. , 1983 , Semigroups of Linear Operators and Applications to Partial Differential Equations ( New York Springer-Verlag ).
  • TAYLOR , L. W. , JR. BALAKRISHNAN , A. V. (editors) , 1984 , A mathematical problem and spacecraft control laboratory experiment (SCOLE) used to evaluate control laws for flexible spacecraft . Proceedings of the First SCOLE Workshop , Hampton , U.S.A .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.