Assigning controllability and observability gramians in feedback control

Journal of Guidance, Control, and Dynamics

Volumn 14, Issue 5, 1991, Pages 878-885

  Yasuda, Kazunori ^a   Skelton, Robert E ^b  

^a KOBE UNIVERSITY   (Japan)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS--ROBUSTNESS; MATHEMATICAL TECHNIQUES--APPLICATIONS;

FEEDBACK CONTROL; OBSERVABILITY GRAMIANS;

CONTROL SYSTEMS, LINEAR;

EID: 0026218777     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.20727     Document Type: Article

References (7)

1. Hotz, A., and Skelton, R., “Covariance Control Theory,” International Journal of Control, Vol. 46, No. 3, 1987, pp. 13-32.
2. Skelton, R. E., Dynamic Systems Control, Wiley, New York, 1988, Chap. 4.
3. Yasuda, K., Imai, N., and Hirai, K., “The Class of Controllability Gramians Assignable by State Feedback,” Transactions of the Society of Instrument and Control Engineers, Vol. 24, No. 8, 1988, pp. 802-808.
4. Skelton, R., and Ikeda, M., “Covariance Controllers for Linear Continuous-Time Systems,” International Journal of Control, Vol. 49, No. 5, 1989, pp. 1773-1785.
5. Patel, R. V., Toda, M., and Sridhar, B., “Robustness of Linear Quadratic State Feedback Designs in the Presence of System Uncertainty,” IEEE Transactions on Automatic Control, Vol. AC-22, Dec. 1977, pp. 945-949.
6. Corless, M., Zhu, G., and Skelton, R., “Improved Robustness Bounds Using Covariance Matrices,” Proceedings of the 28th IEEE Conference on Decision and Control, Inst, of Electrical and Electronics Engineers, New York, 1989, pp. 2667-2672.
7. Khatri, C. G., and Mitra, S. J., “Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations,” Journal of Applied Mathematics, Vol. 31, No. 4, 1976, pp. 579-585.