A Second-order Gradient Method for Determining Optimal Trajectories of Non-linear Discrete-time Systems

作者: DAVID MAYNE

DOI: 10.1080/00207176608921369

关键词: Mathematical optimizationMathematicsDifferential dynamic programmingAlgebraic Riccati equationGradient methodNonlinear systemDiscrete time and continuous timeDifferential equationMultivariable calculusApplied mathematicsLinear system

摘要: … Equation (14) is the optimal incremental control law for time k. Note that Su, as given by (14) may be too large given that terms up to second order only have been used ; we will discuss …

参考文章(4)
A. E. Bryson, W. F. Denham, A Steepest-Ascent Method for Solving Optimum Programming Problems Journal of Applied Mechanics. ,vol. 29, pp. 247- 257 ,(1962) , 10.1115/1.3640537
Richard Ernest Bellman, Stuart E. Dreyfus, Applied Dynamic Programming ,(1962)
A.T. FULLER, The Absolute Optimality of a Non-linear Control System with Integral-square-error Criterion† International Journal of Electronics. ,vol. 17, pp. 301- 317 ,(1964) , 10.1080/00207216408937708
Richard E. Bellman, Stuart E Dreyfus, Applied Dynamic Programming Princeton University Press. ,(1962) , 10.1515/9781400874651