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TECHNICAL PAPERS

Linear Time-Varying Dynamic Systems Optimization via Higher-Order Method: A Sub-Domain Approach

[+] Author and Article Information
Xiaochun Xu, Sunil K. Agrawal

Department of Mechanical Engineering, University of Delaware, Newark, DE 19716

J. Vib. Acoust 122(1), 31-35 (Aug 01, 1999) (5 pages) doi:10.1115/1.568434 History: Received August 01, 1999
Copyright © 2000 by ASME
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References

Kirk, D. E., 1970, Optimal Control Theory: An Introduction, Prentice Hall Electrical Engineering Series, Englewood Cliffs, NJ.
Bryson, A. E., and Ho, Y. C., 1975, Applied Optimal Control, Hemisphere Publishing Company, Washington.
Agrawal,  S. K., and Veeraklaew,  T., 1996, “A Higher-Order Method for Dynamic Optimization of a Class of Linear Time-Invariant Systems,” ASME J. Dyn. Syst., Meas., Control, 118, No. 4, pp. 786–791.
Agrawal,  S. K., and Xu,  X., 1997, “A New Procedure for Optimization of a Class of Linear Time-Varying Dynamic Systems,” J. Vibr. Control, 3, No. 4, pp. 379–396.
Gelfand, I. S., and Fomin, S. V., 1963, Calculus of Variations, Prentice-Hall Book Company, Englewood Cliffs, NJ.
Pinch, E. R., 1993, Optimal Control and the Calculus of Variations, Oxford University Press, New York.
Brebbia, C. A., 1978. The Boundary Element Method for Engineers, Pentech Press, London.
Fletcher, C. A. J., 1984, Computational Galerkin Methods, Springer Verlag, New York.
Xu, X., 1999, New Approaches to Optimization of Linear Time-Varying Systems and Classes of Nonlinear Dynamic Systems, Ph.D. Thesis, Department of Mechanical Engineering, University of Delaware, Newark, DE.

Figures

Grahic Jump Location
The matrix structure in computation of coefficients of Φ0i(t) and Φji(t)
Grahic Jump Location
A spring-mass-damper system with four states and two inputs
Grahic Jump Location
The optimal state and control trajectories for Example 1. The 1-interval solution overlaps with the 2-interval solution.

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