Title
A structure exploiting algorithm for approximate robust optimal control with application to power generating kites
Abstract
In the present paper we discuss numerical solution strategies for robust optimal control problems. Here, our motivation is to optimize the dynamic open-loop behaviour of a kite, which is affected by unknown wind turbulence. After reviewing some existing strategies for robust optimal control, we specialize on a particular approach which uses a Lyapunov differential equation in order to approximate the influence of the uncertainties on the state of the dynamic system and to guarantee stability of periodic systems. We propose strategies to exploit the structure of the corresponding formulation and provide an open-source implementation of the algorithm. The practical advantage of this implementation is illustrated by applying it to a robustness and stability optimization problem for a power generating kite system. Here, the model equations and system parameters are inspired from a real-world application.
Year
DOI
Venue
2012
10.1109/ACC.2012.6314896
American Control Conference
Keywords
Field
DocType
Lyapunov methods,differential equations,optimal control,optimisation,power generation control,robust control,wind power plants,Lyapunov differential equation,approximate robust optimal control,dynamic open-loop behaviour,dynamic system,numerical solution strategy,periodic system stability,power generating kite system,stability optimization problem,structure exploiting algorithm,wind power generation,wind turbulence
Control theory,Computer science,Control engineering,Kite,Robustness (computer science),Robust control,Optimization problem,Linear approximation,Differential equation,Lyapunov function,Mathematical optimization,Optimal control,Algorithm
Conference
ISSN
ISBN
Citations 
0743-1619 E-ISBN : 978-1-4673-2102-0
978-1-4673-2102-0
2
PageRank 
References 
Authors
0.55
7
3
Name
Order
Citations
PageRank
Julia Sternberg120.55
Boris Houska221426.14
Moritz Diehl31343134.37