DocumentCode :
560123
Title :
Dynamic programming and duality applied to an optimal control problem
Author :
Hill, Robin ; Schwerdtfeger, Uwe ; Baake, Michael ; Luo, Yousong
Author_Institution :
Sch. of Math. & Geospatial Sci., RMIT Univ., Melbourne, VIC, Australia
fYear :
2011
fDate :
10-11 Nov. 2011
Firstpage :
254
Lastpage :
259
Abstract :
The solution to a basic problem in time-invariant l1 optimal control is constructed in feedback form. Using ideas from dynamic programming and duality, we find the rule describing how, for optimal l1 regulation, the state at any time instant is to be mapped to the state at the next time instant. This mapping is a function of the state alone and, much like the optimal gain matrix for linear quadratic control, can be computed before system operation.
Keywords :
duality (mathematics); dynamic programming; linear quadratic control; matrix algebra; duality; dynamic programming; feedback form; linear quadratic control; optimal control problem; optimal gain matrix; optimal regulation; rule describing how; system operation; time-invariant optimal control; Dynamic programming; Equations; Optimal control; Optimization; Terminology; Trajectory; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Australian Control Conference (AUCC), 2011
Conference_Location :
Melbourne, VIC
Print_ISBN :
978-1-4244-9245-9
Type :
conf
Filename :
6114367
Link To Document :
بازگشت