Optimal control for vibrating systems

Mechanical Systems and Signal Processing

Volumn 13, Issue 6, 1999, Pages 879-892

  Ram, Y M ^a   Inman, D J ^b  

^a Louisiana State University   (United States)

^b Virginia Polytechnic Institute and State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; OPTIMAL CONTROL SYSTEMS;

EULER-LAGRANGE EQUATIONS; LINEAR REGULATOR PROBLEM;

VIBRATION CONTROL;

EID: 0033348404     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1999.1239     Document Type: Article

References (8)

1. KALMAN R. E. Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana. 5:1960;102-119.
2. SAGE A. P. Optimum System Control. 1968;Prentice-Hall, Englewood Cliffs.
3. REID W. T. Riccati Differential Equations. 1972;Academic Press, New York.
4. BITTANTI S., LAUB A. J., WILLEMS J. C. The Riccati Equation. 1991;Springer, Berlin.
5. DARLING R. W. R. Converting matrix Riccati equations to second-order linear ordinary differential equations. SIAM Review. 39:1997;508-510.
6. HASHEMIPOUR H. R., LAUB A. J. Kalman filtering for second order models. AIAA Journal of Guidance, Control and Dynamics. 11:1988;181-186.
7. OSHMAN Y., INMAN D. J., LAUB A. J. Square-root state estimation for second-order large space structures models. AIAA Journal of Guidance, Control and Dynamics. 12:1989;698-708.
8. D. J. INMAN, 1999, Philosophical Transactions A of the Royal Society. Active modal control for smart structures, to appear.