## Control applications of nonlinear convex programming (1998)

Venue: | the 1997 IFAC Conference on Advanced Process Control |

Citations: | 6 - 3 self |

### BibTeX

@INPROCEEDINGS{Boyd98controlapplications,

author = {Stephen Boyd and Cesar Crusius and Anders Hansson},

title = {Control applications of nonlinear convex programming},

booktitle = {the 1997 IFAC Conference on Advanced Process Control},

year = {1998},

pages = {5--6}

}

### OpenURL

### Abstract

Since 1984 there has been a concentrated e ort to develop e cient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important property of these interior-point methods (beyond their e ciency for LP): they extend gracefully to nonlinear convex optimization problems. New interior-point algorithms for problem classes such as semide nite programming (SDP) or second-order cone programming (SOCP) are now approaching the extreme e ciency of modern linear programming codes. In this paper we discuss three examples of areas of control where our ability to e ciently solve nonlinear convex optimization problems opens up new applications. In the rst 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 nal application concerns analysis and synthesis via linear matrix inequalities and SDP. Submitted to a special issue of Journal of Process Control, edited by Y. Arkun & S. Shah, for papers presented at the 1997 IFAC Conference onAdvanced Process Control, June 1997, Ban. This and related papers available via anonymous FTP at

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