Optimal control of serially connected structures using spatially distributed pointwise controllers

IMA Journal of Mathematical Control and Information

Volumn 13, Issue 4, 1996, Pages 335-358

  Sadek, Ibrahim S ^a,b   Melvin, Valerie H ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b UNIVERSITY OF NORTH CAROLINA WILMINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; MAXIMUM PRINCIPLE; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

SERIALLY CONNECTED STRUCTURES;

OPTIMAL CONTROL SYSTEMS;

EID: 0030386771     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/13.4.335     Document Type: Article

References (17)

1. AHMED, N. U., & TEO, K. L., 1987. Optimal control of distributed parameter systems. North Holland, New York.
2. BUTKOVSKII, A. G., 1969. Distributed control systems. American Elsevier, New York.
3. CHAN, W. L., & ZHU, G. B., 1991. Pointwise stabilization for a chain of coupled vibrating strings. IMA J. Math. Control & Info. 7 307-15.
4. CHEN, G., DELFOUR, M. C., KRULL, A. M., & PAYRE, G., 1987. Modeling stabilization and control of serially connected beams. SIAM J. Control Optimiz. 25 526-46.
5. CLARKE, F. H., 1976. The maximum principle under minimum hypotheses. SIAM J. Control & Optimiz. 14 1078-91.
6. EGOROV, J. V., 1964. Necessary conditions for the optimality of control in Banach spaces. Math. USSR-Sb. 64, 79-101.
7. FATTORINI, H. O., 1985. The Maximum Principle for Nonlinear Nonconvex Systems in Infinite Dimensional Spaces. In: Distributed parameter systems (F. Kappel, K. Kunisch, & W. Schappacher (Eds). Lecture Notes in Control and Information Sciences. 75. Springer, Berlin. pp. 162-78.
8. GREGSON, M. J., 1973. A Maximum Principle for the Optimal Control of Distributed Parameter Systems. In: Recent mathematical developments in control (D. J. Bell, Ed.). Academic Press, New York. pp. 309-21.
9. KOMKOV, V., 1972. Optimal control theory for the damping of vibrations of simple elastic systems. Lecture Notes in Mathematics. Springer, New York.
10. KOMKOV, V., 1973. Formulation of Pontryagin's maximality principle in a problems of structural mechanics. Int. J. Control 17, 455-64.
11. LIONS, J. L., 1971. Optimal control of systems governed by partial differential equations. Springer, New York.
12. SADEK, I. S., ADALI, S., SLOSS, J. M., & BRUCH JR, J. C., 1987. Optimal distributed control of a continous beam with damping. J. Sound & Vibr. 117, 207-18.
13. SADEK, I. S., 1988. Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints. J. Franklin Inst. 325, 565-83.
14. SLOSS, J. M., BRUCH JR, J. C., & SADEK, I. S. 1989. A maximum principle for nonconservative self-adjoint systems. IMA J. Math Control & Info. 6, 199-216.
15. SLOSS, J. M., SADEK, I. S., BRUCH JR, J. C., & ADALI, S. 1995. Maximum principle for the optimal control of a hyperbolic equation in one space dimension: I. Theory. J. Optimiz. Theory & Applics 87, 33-45.
16. SLOSS, J. M., SADEK, I. S., BRUCH JR, J. C., & ADALI, S., 1989. Applications of a maximum principle for the structural control of laminated composite plates. IMA J. Math Control & Info. 6, 217-32.
17. WANG, P. K. C., 1964. Control of distributed parameter systems. Advances in Control Systems 1. Academic Press, New York. pp. 75-172.