Title
Min-max optimal control of linear systems with uncertainty and terminal state constraints
Abstract
In this paper, a class of min–max optimal control problems with continuous dynamical systems and quadratic terminal constraints is studied. The main contribution is that the original terminal state constraint in which the disturbance is involved is transformed into an equivalent linear matrix inequality without disturbance under certain conditions. Then, the original min–max optimal control problem is solved via solving a sequence of semi-definite programming problems. An example is presented to illustrate the proposed method.
Year
DOI
Venue
2013
10.1016/j.automatica.2013.02.052
Automatica
Keywords
Field
DocType
main contribution,original min-max optimal control,semi-definite programming problem,quadratic terminal constraint,linear system,continuous dynamical system,original terminal state constraint,min-max optimal control problem,certain condition,equivalent linear matrix inequality,min-max optimal control,semi definite programming
Mathematical optimization,Optimal control,Linear system,State constraint,Control theory,Quadratic equation,Dynamical systems theory,Semidefinite programming,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
49
6
0005-1098
Citations 
PageRank 
References 
4
0.56
12
Authors
3
Name
Order
Citations
PageRank
Changzhi Wu119519.07
K. L. Teo21643211.47
Soonyi Wu319618.92