A new procedure for optimization of linear time-varying dynamic systems has been proposed that uses transformations to embed the dynamic equations explicitly into the cost functional. This leads to elimination of Lagrange multipliers and characterization of the optimality equations by high-order differential equations in the same number of variables as number of control inputs. This procedure requires that the transformation matrix be nonsingular at all time within the domain. This paper extends this procedure to problems where a single nonsingular transformation matrix does not exist over the entire domain. In this paper, the time domain is partitioned into intervals such that a nonsingular transformation exists over each interval. The transformations are used to embed the dynamic equations into the cost functional. Variational analysis of the unconstrained cost functionals results in the optimality equations, which are solved efficiently by weighted residual methods. [S0739-3717(00)00601-2]
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January 2000
Technical Papers
Linear Time-Varying Dynamic Systems Optimization via Higher-Order Method: A Sub-Domain Approach
Xiaochun Xu, Graduate Student,
Xiaochun Xu, Graduate Student
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
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Sunil K. Agrawal, Associate Professor
Sunil K. Agrawal, Associate Professor
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
Search for other works by this author on:
Xiaochun Xu, Graduate Student
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
Sunil K. Agrawal, Associate Professor
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Aug. 1999. Associate Technical Editor: S. C. Sinha.
J. Vib. Acoust. Jan 2000, 122(1): 31-35 (5 pages)
Published Online: August 1, 1999
Article history
Received:
August 1, 1999
Citation
Xu , X., and Agrawal , S. K. (August 1, 1999). "Linear Time-Varying Dynamic Systems Optimization via Higher-Order Method: A Sub-Domain Approach ." ASME. J. Vib. Acoust. January 2000; 122(1): 31–35. https://doi.org/10.1115/1.568434
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