Author/Authors :
Stephen Boyd، نويسنده , , César Crusius and Anders Hansson، نويسنده ,
Title Of Article :
Control applications of nonlinear convex programming
Latin Abstract :
Since 1984 there has been a concentrated effort to develop efficient interior-point methods tbr linear programming
(LP). In the last few years researchers have begun to appreciate a very important property o1"
these interior-point methods (beyond their efficiency for LP): they extend gracefully to nonlinear convex
optimization problems. New interior-point algorithms for problem classes such as semidefinite programming
(SDP) or second-order cone programming (SOCP) are now approaching the extreme efficiency of
modern linear programming codes. In this paper we discuss three examples of areas of control where our
ability to efficiently solve nonlinear convex optimization problems opens up new applications. In the first
example we show how SOCP can be used to solve robust open-loop optimal control problems. In the
second example, we show how SOCP can be used to simultaneously design the set-point and feedback
gains for a controller, and compare this method with the more standard approach. Our final application
concerns analysis and synthesis via linear matrix inequalities and SDP.
NaturalLanguageKeyword :
semidefinite programming , Linear programming , Convex optimization , robust optimal control , Interior-point methods
JournalTitle :
Studia Iranica
