DocumentCode :
728415
Title :
Development of online solution algorithms for optimal periodic control problems with plant uncertainties
Author :
Ghanaatpishe, Mohammad ; Kehs, Michelle ; Fathy, Hosam K.
Author_Institution :
Mech. Eng., Pennsylvania State Univ., University Park, PA, USA
fYear :
2015
fDate :
1-3 July 2015
Firstpage :
3576
Lastpage :
3582
Abstract :
This paper introduces two online methods for optimal periodic control (OPC) of open-loop stable plants. The first method requires knowledge of the plant structure but allows for uncertainty in plant parameters. It employs recursive least squares to estimate parameters, then uses the estimates to adapt the shape of the optimal trajectory. The second method uses a model-free extremum seeking scheme to slowly converge to the optimal input trajectory. While relevant work has been done in the area of online optimal periodic control, the existing methods either rely heavily on knowledge of the plant or they assume a known period. This work proposes methods that do not require these assumptions/limitations. The methods are tested on a drug delivery example from the existing OPC literature. Average drug efficacy values obtained in this work are comparable to the literature, even though limited information about the plant is used.
Keywords :
least squares approximations; nonlinear control systems; open loop systems; optimal control; parameter estimation; OPC; average drug efficacy values; drug delivery; model-free extremum seeking scheme; online optimal periodic control problems; online solution algorithms; open-loop stable plants; optimal input trajectory; parameter estimation; plant structure; plant uncertainties; recursive least squares; Convergence; Drug delivery; Drugs; Fourier series; Linear programming; Trajectory; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
Type :
conf
DOI :
10.1109/ACC.2015.7171885
Filename :
7171885
Link To Document :
بازگشت