A Survey on Eigenstructure Assignment

고유구조 지정기법 : 연구동향과 전망

  • Park, Jae-Weon (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University) ;
  • Seo, Young-Bong (Busan National University)
  • 최재원 (부산대학교 기계공학부 및 기계기술연구소) ;
  • 서영봉 (부산대학교 기계공학부)
  • Published : 2000.10.01

Abstract

This survey paper presents and overview on eigenstructure assignment (EA) control design methodologies. EA is an excellent control design method which may be used to assign the entire eigenstructure(eigenvalues, and right or left eigenvectors) of a closed-loop linear system via a full state or an output feedback control law. In general, EA is well-sutied for incorporating classical specifications on damping, settling time, and mode or disturbance decoupling into a modern multivariable control framework. The purpose of this paper is to provide an extensive survey on EA control design methods that might serve as an introduction to a study on EA. The fundamental concepts and formulations for understanding EA problems are extensively described. The recently reported results on EA are also presented.

Keywords

References

  1. G. Klein and B. C. Moore, 'Eigenvalue-generalized eigenvector assignment with state feedback,' IEEE Transactions on Automatic Control, vol. 22, no. 1, pp. 140-141, February 1977 https://doi.org/10.1109/TAC.1977.1101435
  2. M. M. Fahmy and H. S. Tantawy, 'Eigenstructure assignment via linear state-feedback control,' International Journal of Control, vol. 40, no. 1, pp. 161-178, 1984 https://doi.org/10.1080/00207178408933265
  3. B. A. White, 'Eigenstructure assignment by output feedback,' International Journal of Control, vol. 53, no. 6, pp. 1413-1429, 1991 https://doi.org/10.1080/00207179108953683
  4. B. H. Kwon and M. J. Youn, 'Eigenvalue-generalized eigenvector assignment by output feedback,' IEEE Transactions on Automatic Control, vol. 32, no. 5, pp. 417-421, 1987 https://doi.org/10.1109/TAC.1987.1104623
  5. W. L. Brogan 'An application of a determinant identity to pole placement and observer problem,' IEEE Transactions on Automatic Control, vol. 19, no. 10, pp. 612-614, 1974
  6. H. H. Rosenbrock and G. E. Hayton, 'The general problem of pole assignment,' International Journal of Control, vol. 27, pp. 837-852, 1978 https://doi.org/10.1080/00207177808922416
  7. N. Mumo, 'Pole assignment,' Proceedings of the Institute of Electrical Engineers, vol. 126, pp. 549-551, 1979
  8. N. K. Nichols and P. Van Dooren, 'Robust pole assignment and optimal stability margins,' Electronics Letters, vol. 20, pp. 660-661, 1984. https://doi.org/10.1049/el:19840452
  9. G. S. Miminis and C. C. Paige, 'A direct algorithm for pole assignment of time invariant multiinput linear systems using state feedback,' Automatica, vol. 24, no. 6, pp. 579-588, 1988 https://doi.org/10.1016/0005-1098(88)90075-1
  10. H. Katayama and A. Ichikawa, 'Pole assignment by state transition graph,' IEEE Transactions on Automatic Control, vol. 37, no. 8, pp. 1196-1201, 1992 https://doi.org/10.1109/9.151103
  11. W. M. Wonham, 'On pole assignment in multi-input, controllable linear systems,' IEEE Transactions on Automatic Control, vol. 12, pp. 660-665, 1967 https://doi.org/10.1109/TAC.1967.1098739
  12. B. C. Moore, 'On the flexibility offered by state feedback in multi variable systems beyond closed-loop eigenvalue assignment,' IEEE Transactions on Automatic Control, vol. 21, no. 6, pp. 689-692, 1976
  13. G. P. Liu and R. J. Patton, Eigenstructure Assignment for Control System Design, John Wiley & Sons, pp. 14-15, 1998
  14. A. N. Jr. Andry, E. Y. Shapiro, and J. C. Chung, 'Eigenstructure assignment for linear systems,' IEEE Transactions on Aerospace and Electronic Systems, vol. 19, no. 5, pp. 711-729, 1983 https://doi.org/10.1109/TAES.1983.309373
  15. J. W. Choi, J. G. Lee, Y. Kim, and T. Kang, 'Design of an effective controller via disturbance accommodating left eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 2, pp. 347-354, March-April 1995
  16. S. Srinathkumar, 'Eigenvalue/Eigenvector assignment using output feedback,' IEEE Transactions on Automatic Control, vol. 23, no. 1, pp. 79-81, 1978 https://doi.org/10.1109/TAC.1978.1101685
  17. J. W. Choi, 'A simultaneous assignment methodology of right/left eigenstructures,' IEEE Transactions on Aerospace and Electronic Systems, vol. 34, no. 2, pp. 625-634, April 1998 https://doi.org/10.1109/7.670342
  18. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, 2nd ed., Springer-Verlag, New York, pp. 86-92, 1979
  19. G. M. Siouris, J. G. Lee, and]. W. Choi, 'Design of a modem pitch pointing control system,' IEEE Transactions on Aerospace and Electronic Systems, vol. 31, no. 2, pp, 730-738, April 1995 https://doi.org/10.1109/7.381920
  20. T. Kang and J. G. Lee, 'Comment on 'eigenstructure assignment for linear systems',' IEEE Transactions on Aerospace and Electronic Systems, vol. 28, no. 3, pp. 920-921, 1992 https://doi.org/10.1109/7.256318
  21. K. M. Sobel and F. J. Lallman, 'Eigenstructure assignment for a thrust-vectored high angle-of-attack aircraft,' Proceedings of the AIAA Guidance, Navigation, and Control Conference, minneapolis, MN, USA, pp. 408-413, August 15-17, 1988
  22. H. P. Lee, H. M. Youssef, and R. P. Hanel, 'Application of eigenstructure assignment to the design of STOVL flight control systems,' Proceedings of the AIAA Guidance, Navigation, and Control Conference, Minneapolis, MN, USA, pp. 736-748, August 15-17, 1988
  23. K. M. Sobel and F. J. Lallman, 'Eigenstructure assignment for the control of highly augmented aircraft. ' Journal of Guidance, Control, and Dynamics, vol. 12, no. 3, pp. 318-324, 1989
  24. K. M. Sobel and J. R. Cloutier, 'Eigenstructure assignment for the extended medium range air-to-air missile,' Journal of Guidance, Control, and Dynamics, vol. 15, no. 2, pp. 529-531, 1992
  25. Y. Kim and D. Kum, 'Design of small gain controller via iterative eigenstructure assignment,' Proceedings of the AIAA Guidance, Navigation, and Control Conference, Monterey, CA, USA, pp. 63-72, August 9-11, 1993
  26. K. M. Sobel, E. Y. Shapiro, and A. N. Jr Andry, 'Eigenstructure assignment,' International Journal of Control, vol. 59, no. 1, pp. 13-37, 1994 https://doi.org/10.1080/00207179408923068
  27. W. L. Garrard E. Low, and S. Prouty, 'Design of attitude and rate command systems for helicopters using eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 12, no. 6, pp. 738-791, 1989
  28. B. S. Liebs and W. L. Garrard, 'Design of an active flutter suppression system,' Journal of Guidance, Control, and Dynamics, vol. 9, no. 1, pp. 64-71, 1986
  29. A. N. Andry, J. C. Chung, and E. Y. Shapiro, 'Modalized observers,' IEEE Transactions on Automatic Control, vol. 29, no. 7, pp. 669-672, 1984 https://doi.org/10.1109/TAC.1984.1103611
  30. Q. Zhang, G. L. Slater, and R. J. Allemang, 'Suppression of undesired inputs of linear systems by eigenspace assignment,' Journal of Guidance, Control, and Dynamics, vol. 13, no. 3, pp. 330-336, 1990
  31. Y. Kim, and J. L. Junkins, 'Measure of controllability for actuator placement,' Journal of Guidance, Control, and Dynamics, vol. 14, no. 5, pp. 895-902, 1991
  32. J. W. Choi, 'Left eigenstructure assignment via sylvester equation,' KSME International Journal, vol. 12, no. 6, pp. 1034-1040, December 1998
  33. R. F. Wilson, J. R. Cloutier, and R. K. Yedavalli, 'Control design for robust eigenstructure assignment in linear uncertain systems,' IEEE Control Systems Magazine, vol. 12, no. 5, pp, 29- 34, 1992 https://doi.org/10.1109/37.158895
  34. K. M. Sobel, S. S. Banda, and H. H. Yeh, 'Robust control for linear systems with structured state space uncertainty,' International Journal of Control, vol. 50, no. 5, pp. 1991-2004, 1989 https://doi.org/10.1080/00207178908953478
  35. W. Yu, J. E. Piou, and K. M. Sobel, 'Robust eigenstructure assignment for the extended medium range air-to-air missile,' Automatica, vol. 29, no. 4, pp. 889-898, 1993 https://doi.org/10.1016/0005-1098(93)90094-A
  36. S. Garg, 'Robust eigenstructure assignment using singular value sensitivities,' Journal of Guidance, Control, and Dynamics, vol. 14, no. 2, pp. 416-424, March-April 1991
  37. M. S. Jankovic, 'Exact n-th derivatives of eigenvalues and eigenvectors,' Journal of Guidance, Control, and Dynamics, vol. 17, no. 1, pp. 136-144, January-February 1994
  38. L. H. Keel, K. B. Lim, and J. N. juang, 'Robust eigenvalue assignment with maximum tolerance to system uncertainties, ' Journal of Guidance, Control, and Dynamics, vol. 14, no. 3, pp. 615-620, 1991
  39. P. R. Apkarian, 'Structured stability robustness improvement by eigenspace techniques: A hybrid methodology,' Journal of Guidance, Control, and Dynamics, vol. 12, no. 2, pp. 162-168, 1989
  40. G. P. Liu and R. J. Patton, 'Robust control design using eigenstructure assignment and multiobjective optimization,' International Journal of Systems Science, vol. 27, no. 9, pp. 871-879, 1996 https://doi.org/10.1080/00207729608929288
  41. B. Porter and M. Borairi, 'Genetic design of linear multi variable feedback control systems using eigenstructure assignment,' International Journal of Systems Science, vol. 23, no. 8, pp. 1387-1390, 1992 https://doi.org/10.1080/00207729208949392
  42. R. J. Patton and G. P. Liu, 'Robust control design via eigenstructure assignment, genetic algorithms and gradient-based optimization,' lEE Proc.-D:Control Theory and Applications, vol. 141, no. 3, pp. 202-208, 1994
  43. J. C. Doyle and G. Stein, 'Multi variable feedback design: Concepts for a classical/modern synthesis,' IEEE Transactions on Automatic Control, vol. 26, no. 1, pp. 4-16, February 1981 https://doi.org/10.1109/TAC.1981.1102555
  44. L. S. Shieh, H. M. Dib, and S. Ganesan, 'Linear Quadratic regulators with eigenvalue placement in a specified region,' Automatica, vol. 24, no. 6, pp. 819-823, 1988 https://doi.org/10.1016/0005-1098(88)90058-1
  45. M. Saif, 'Optimal modal controller design by entire eigenstructure assignment,' lEE Proc.-D: Control Theory and Applications, vol. 136, no. 6, pp. 341-344, 1989
  46. R. F. Wilson and J. R. Cloutier, 'Optimal eigenstructure achievement with robustness guarantees,' Proceedings of the 1990 American Control Conference, San Diego, USA, pp. 952-957, May 1990
  47. J. R. Broussard, 'A Quadratic weight selection algorithm,' IEEE Transactions on Automatic Control, vol. 27, pp. 945-947, August 1982 https://doi.org/10.1109/TAC.1982.1103046
  48. 최재원, 서영봉, '고유구조 지정기능을 갖는 LQR 설계 및 비행제어시스템에의 응용,' 제어.자동화.시스템공학 논문지, 제4권, 제3호, pp. 280-288, 1998. 6
  49. 최재원, 서영봉, 유완석, 'LQR 특성을 갖는 고유구조 지정 제어기법 및 자동차 능동 현가장치 제어에의 응용,' 한국정밀공학회지, 제15권, 제11호, pp. 108-120, 1998. 11
  50. J. W. Choi and Y. B. Seo, 'Control design methodology using EALQR,' Proceedings of the 37th SICE Conference (SICE'98), Chiba, Japan, pp. 969-974, July 29-31, 1998 https://doi.org/10.1109/SICE.1998.742961
  51. J. W. Choi, Y. B. Seo, W.-S. Yoo, and M. H. Lee, 'LQR approach using eigenstructure assignment with active suspension control application,' Proceedings of the IEEE Conference on Control Applications, Trieste, Italy, pp. 1235-1239, September 1-4, 1998 https://doi.org/10.1109/CCA.1998.721656
  52. J. W. Choi and Y. B. Seo, 'LQR design with eigenstructure assignment capability,' IEEE Transactions on Aerospace and Electronic Systems, vol. 35, no. 2, pp. 700-708, April 1999 https://doi.org/10.1109/7.766949
  53. Y. B. Seo and J. W. Choi, 'Frequency domain properties of EALQR with indefinite weighting matrix,' Proceedings of the Fourth Asian/Pacific International Symposium on Instrumentation, Measurement & Automatic Control, Beijing, China, pp. 222-226, August 20-24, 1999
  54. 서영봉, 최재원, '비한정 Q를 갖는 EALQR의 주파수역 특성 해석,' 제어.자동화.시스템공학 논문지, 제5권, 제6호, pp. 676-682, 1999. 8
  55. C. C. Tsui, 'A new algorithm for the design of multifunctional observers,' IEEE Transactions on Automatic Control, vol. 30, no. 1, pp. 89-93, 1985
  56. K. M. Sobel and S. S. Banda, 'Design of a modalized observer with eigenvalue sensitivity reduction,' Journal of Guidance, Control, and Dynamics, vol. 12, no. 5, pp. 762-764, 1989
  57. S. P. Burrows, and R. J. Patton, 'The design of low-sensitivity modalized observers using left eigenstrueture assignment,' Journal of Guidance, Control, and Dynamics, vol. 15, no. 3, pp. 779-782, 1990
  58. N. Karcanias and B. Kouvaritakis, 'The output zeroing problem and its relationship to the invariant zero structure,' Internation Journal of Control, vol. 30, pp. 395-415, 1979 https://doi.org/10.1080/00207177908922783
  59. 최재원, 김진변, '출력 되먹임 제어에서 일반화된 고유구조지정을 위한 쌍대정리,' '98 한국자동제어학술회의 논문집, 부산, 제1권, pp. 271-274, 1998. 10
  60. R. J. Patton, S. M. Willcox, and S. J. Winter, 'A parameter insensitive technique for aircraft sensor fault analysis,' Journal of Guidance, Control, and Dynamics, vol. 10, no. 3, pp. 359-367, 1987
  61. J. Park and G. Rizzoni, 'An eigenstructure assignment algorithm for the design of fault detection filters,' IEEE Transactions on Automatic Control, vol. 39, no. 7, pp, 1521-1524, 1994 https://doi.org/10.1109/9.299649
  62. S. P. Burrows and R. J. Patton, 'Design of low-sensitivity modalized observers using eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 15, no. 3, pp. 779-782, 1992
  63. B. Liu and J. Si, 'Fault isolation filter design for linear time-invariant systems,' IEEE Transactions on Automatic Control, vol. 42, no. 5, pp, 704-707, 1997 https://doi.org/10.1109/9.580881
  64. 최재원, 이대영, '좌 고유구조 지정기법을 이용한 고장분리 필터 설계,' 제어.자동화.시스템공학 논문지, 제4권, 제6호, pp. 567-574, 1998. 12
  65. M. Jamshidi, Large-Scale Systems: Modeling and Control, North-Holland Series in System Science and Engineering, Series vol. 9, Simon & Schuster, 1996
  66. J. B. Cruz, Advances in Large Scale Systems, A Research Annual, JAl Press Inc., 1984
  67. M. Tarokh, 'Approach to pole assignment by centralized and decentralized output feedback,' lEE Proc.-D: Control Theory and Applications, vol. 136, no. 2, pp. 89-97, March 1989
  68. D. K. Lindner, 'Decentralized pole assignment: An example,' Proceedings of the IEEE Conference on Decision and Control, pp. 170-175, Florida, 1985
  69. J. Lu, H. D. Chiang, and J. S. Thorp, 'Partial eigenstructure assignment and its applications to large scale systems,' IEEE Transactions on Automatic Control, vol. 36, no. 3, pp. 340-347, March 1991 https://doi.org/10.1109/9.73568
  70. J. Lu, H. D. Chiang, and J. S. Thorp, 'Eigenstructure assignment by decentralized feedback control,' IEEE Transactions on Automatic Control, vol. 38, no. 4, pp. 587-592, April 1993 https://doi.org/10.1109/9.250527
  71. M. Y. Wu, 'A note on stability of linear time-varying systems,' IEEE Transactions on Automatic Control, vol. 19, no. 1, pp. 162, 1974
  72. J. A. Richards, Analysis of Periodically Time-Varying Systems, Springer-Verlag, New York, 1983
  73. V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations, Prentice-Hall, NJ, 1960
  74. E. W. Kamen, 'The poles and zeros of a linear time-varying system,' Linear Algebra and Its Applications, vol. 98, pp. 263-289, January 1988 https://doi.org/10.1016/0024-3795(88)90168-1
  75. J. Zhu and C. H. Morales, 'On linear ordinary differential equation with functionally commutative coefficient matrices,' Linear Algebra and Its Applications, vol. 170, pp. 81-105, June 1992 https://doi.org/10.1016/0024-3795(92)90412-4
  76. J. Zhu and C. D. Johnson, 'Unified canonical Forms for matrices over a differential ring,' Linear Algebra and Its Applications, vol. 147, pp. 201-248, March 1991 https://doi.org/10.1016/0024-3795(91)90235-O
  77. K. S. Tsakalis and P. A. Ioannou, Linear Time-Varying Systems, Prentice-Hall, Englewood Cliffs, NJ, 1993
  78. E. W. Kamen, 'The poles and zeros of a linear time-varying system,' Linear Algebra and Its Applications, vol. 98, pp. 263-289, January 1988 https://doi.org/10.1016/0024-3795(88)90168-1
  79. J. Zhu, 'A unified spectral theory for linear time-varying systems - progress and challenges,' Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, LA, pp. 2540-2546, Dec. 1995 https://doi.org/10.1109/CDC.1995.478474
  80. J. Zhu, , 'A Necessary and Sufficient Stability Criterion for Linear Time- Varying Systems,' Proceedings of the 28th IEEE Southeastern Symposium on Systems Theory, Baton Rouge, LA, pp. 115-119, April 1996 https://doi.org/10.1109/SSST.1996.493482
  81. Zhu, J. 'PD-Eigenstructure assignment control for multi variable nonlinear tracking and decoupling,' Final Report for the 1995 AFOSR Summer Research Extension Program, Armament Directorate, Eglin AFB, pp. 12-16, December 1996
  82. J. Zhu, 이호철, 최재원, '선형 시변시스템에 대한 잘 정의된 직렬 및 병렬 D-스펙트럼,' 제어.자동화.시스템공학 논문지, 제5권, 제5호, pp. 521-528, 1999. 7
  83. 최재원, 이호철, 이달호, '선형 시변시스템에 대한 가제어성 및 가관측성 척도,' 제어.자동화.시스템공학 논문지, 제5권, 제6호, pp. 647-655, 1999. 8
  84. J. W. Choi, H. C. Lee, and J. J. Zhu, 'Measures of modal and gross controllability/observability for linear time-varying systems,' Proceedings of the 1999 American Control Conference(ACC99), San Diego, CA, U.S.A., pp. 1774-1775, June 2-4, 1999 https://doi.org/10.1109/ACC.1999.786147
  85. 최재원, 이호철, '미분 Sylvester 방정식을 이용한 선형 시변시스템의 고유구조 지정기법,' 제어.자동화.시스템공학 논문지, 제5권, 제7호, pp. 777-786, 1999. 10
  86. J. W. Choi and H. C. Lee, 'Eigenstructure assignment for linear time-varying systems via differential sylvester's equation,' Proceeding of the 1999 AIAA Guidance, Navigation, and Control Conference, Portland, OR, U.S.A., pp. 1400-1409, August 9-11, 1999
  87. J. W. Choi, H. C. Lee, and J. J. Zhu, 'Decoupling and tracking control using eigenstructure assignment for linear time-varying systems,' to appear in the International Journal of Control https://doi.org/10.1080/00207170010008761
  88. M. M. Fahmy and J. O'Reilly, 'Parametric eigenstructure assignment by output-feedback control: the case of multiple eigenvalues,' International Journal of Control, vol. 48, no. 4, pp. 1519-1535, 1988 https://doi.org/10.1080/00207178808906266
  89. P. G. Maghami, J. N. Juang, and K. B. Lim, 'Eigenstructure assignment with output feedback,' Journal of Guidance, Control, and Dynamics, Vol. 15, no. 2, pp. 531-535, 1992
  90. S. Daley, 'On eigenstructure assignability using parametric output feedback,' International Journal of Systems Science, vol. 24, no. 6, pp. 1081-1100, 1993 https://doi.org/10.1080/00207729308949545
  91. V. Gourishankar and K. Ramar, 'Pole assignment with minimum eigenvalue sensitivity to plant parameter variations,' International Journal of Control, vol. 23, no. 4, pp. 493-504, 1976 https://doi.org/10.1080/00207177608922175
  92. J. W. Howze and R. K. Gavin Ill, 'Regulator design with modal insensitivity,' IEEE Transactions on Automatic Control, vol. 24, no. 3, pp. 466-469, 1979 https://doi.org/10.1109/TAC.1979.1102050
  93. S. Shah, D. Fisher, and D. Seborg, 'Eigenvalue invariance to system parameter variations by eigenvector assignment,' International Journal of Control, vol. 26, no. 6, pp, 871-881, 1977 https://doi.org/10.1080/00207177708928530
  94. J. Kautsky, N. K. Nichols, and P. Van Dooren, 'Robust pole assignment in linear state feedback,' International Journal of Control, vol. 41, no. 5, pp. 1129-1155, 1985 https://doi.org/10.1080/0020718508961188
  95. G. P. Liu and R. J. Patton, 'Multiobjective robust control design using eigenstructure assignment,' Proceedings of the IFAC Symposium on Robust Control Design, Brazil, 1994
  96. G. Roppenecker, 'On parametric state feedback design,' International Journal of Control, vol. 43, no. 3, pp. 793-804, 1986 https://doi.org/10.1080/00207178608933503
  97. W. W. Cimino and D. A. Hoskins, 'Sampled data implementation of eigenstructure assignment technique,' IEEE Transactions on Aerospace and Electronic Systems, vol. 23, no. 5, pp. 710-712, 1987 https://doi.org/10.1109/TAES.1987.310867
  98. J. E. Piou and K. M. Sobel, 'Robust sampled-data eigenstructure assignment using delta operator,' Journal of Guidance, Control, and Dynamics, vol. 16, no. 4, pp. 702-711, 1993
  99. Y. Patel, S. P. Burrows, and R. J. Patton, 'Design of insensitive multirate aircraft control using optimized eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 16, no. 1, pp. 118-123, 1993
  100. J. E. Piou and K. M. Sobel, 'Robust multirate eigenstructure assignment with flight control application,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 3, pp. 539-546, 1995
  101. L. R. Fletcher, J. Kautsky, and N. K. Nichols, 'Eigenstructure assignment in descriptor systems,' IEEE Transactions on Automatic Control, vol. 31, no. 12, pp. 1138-1141, 1986 https://doi.org/10.1109/TAC.1986.1104189
  102. V. Kucera and P. Zagalak, 'Fundamental theorems of state feedback for singular systems,' Automatica, vol. 24, no. 5, pp. 653-658, 1988 https://doi.org/10.1016/0005-1098(88)90112-4
  103. K. S. Ozcaldiran and F. L. Lewis, 'A geometric approach to eigenstructure assignment for singular systems,' IEEE Transactions on Automatic Control, vol. 32, no. 7, pp. 629-632, 1987 https://doi.org/10.1109/TAC.1987.1104668
  104. G. S. Miminis, 'Deflation in eigenvalue assignment of descriptor systems using state feedback,' IEEE Transactions on Automatic Control, vol. 38, no. 9, pp. 81-84, 1993 https://doi.org/10.1109/9.237645
  105. E. Low and W. L. Garrad, 'Design of flight control systems to meet rotorcraft handling qualities specifications,' Journal of Guidance, Control, and Dynamics, vol. 6, no. 1, pp. 69-78, 1993
  106. M. E. Aggoune, F. Boudjemaa, A. Bensenouci, A. Hellal, M. R. Elmesai, and S. V. Vadari, 'Design of variable structure voltage regulator using pole assignment technique,' IEEE Transactions on Automatic Control, vol. 39, no. 10, pp. 2106-2110, 1994 https://doi.org/10.1109/9.328800
  107. M. J. Schulz and D. J. Inman, 'Model updating using constrained eigenstructure optimization,' Journal of Sound and Vibration, vol. 178, no. 1, pp. 113-130, 1995 https://doi.org/10.1006/jsvi.1994.1471
  108. M. J. Schulz and D. J. Inman, 'Vibration suppression by eigenstructure optimization,' Journal of Sound and Vibration, vol. 182, no. 2, pp. 259-282, 1995 https://doi.org/10.1006/jsvi.1994.0196
  109. G. Hughes, M. A. Manness, and D. J. MurraySmith, 'Eigenstructure assignment for handling qualities in helicopter flight control law design,' Proc. of the 16th Annual European Rotorcraft Forum, Royal Aeronautical Society, London, pp. III. 10.2.1.-13, 1990
  110. 김주호, 최재원, '고유구조 지정법을 이용한 연성된 병렬형 역진자의 불연성화 제어기 설계,' '98 한국 자동제어학술회의 논문집, 부산, 제1권, pp. 526-529, 1998. 10
  111. 김주호, 최재원, 'CGT와 고유구조 지정법을 이용한 지남차의 불연성화 제어기 설계,' 한국정밀공학회지, 제16권, 제6호, pp. 176-182, 1999. 6