| Автор | Agrawal, S.K. |
| Автор | Xu, X. |
| Дата выпуска | 1997 |
| dc.description | This paper deals with optimization of a class of linear time-varying dynamic systems with n states and m control inputs commanded to move between two fixed states in a prescribed final time. Using a conventional procedure with Lagrange multipliers, it is well known that the optimal solution must satisfy 2n first-order linear differential equations in the state and Lagrange multiplier variables. Due to the specific nature of boundary conditions with states given at the two end times, the two-point boundary value problem must be solved iteratively using shooting methods, that is, there is no closed-form quick procedure to obtain the solution of the problem. In this paper, a new procedure for dynamic optimization of this problem is presented that does not use Lagrange multipliers. In this new procedure, it is shown that for a dynamic system with n = pm, where p is an integer, the optimal solution must satisfy m 2p-order differential equations. Due to the absence of Lagrange multipliers, the higher order differential equations can be solved efficiently using classical weighted residual methods. |
| Издатель | Sage Publications |
| Тема | Optimization |
| Тема | time-varying dynamic systems |
| Тема | transformations |
| Тема | optimal control |
| Название | A New Procedure for Optimization of a Class of Linear Time-Varying Dynamic Systems |
| Тип | Journal Article |
| DOI | 10.1177/107754639700300401 |
| Print ISSN | 1077-5463 |
| Журнал | Journal of Vibration and Control |
| Том | 3 |
| Первая страница | 379 |
| Последняя страница | 396 |
| Аффилиация | Agrawal, S.K., Department of Mechanical Engineering, University of Delaware, Newark, DE 19716, USA |
| Аффилиация | Xu, X., Department of Mechanical Engineering, University of Delaware, Newark, DE 19716, USA |
| Выпуск | 4 |
| Библиографическая ссылка | Agrawal, S.K. and Veeraklaew, T., 1996, "Higher-order method for dynamic optimization of a class of linear time-invariant," J. Dyn. Sys. Meas. Control . |
| Библиографическая ссылка | Brebbia, C.A., 1978, The Boundary Element Method for Engineers, Pentech, London. |
| Библиографическая ссылка | Bryson, A.E. and Ho, Y.C., 1975, Applied Optimal Control, Hemisphere , Washington, DC. |
| Библиографическая ссылка | Fletcher, C.A.J., 1984, Computational Galerkin Methods, Springer-Verlag , New York. |
| Библиографическая ссылка | Kirk, D.E., 1970, Optimal Control Theory: An Introduction, Prentice Hall, Englewood Cliffs, NJ. |
