Closed-Loop Convex Analysis of Performance Limits for Linear Control Systems

S. Boyd and C. Barratt

Proceedings of the IEEE Symposium on Computer Aided Control System Design, pages 301-304, March 1992.

In closed-loop convex analysis and design, the linear controller design problem is reformulated as a convex optimization problem, which may be more easily solved than the problems resulting from conventional formulations. This reformulation has several unconventional aspects: it synthesizes control laws that have high degree, but nevertheless can be implemented using digital signal processors; the “solution” is rarely expressed in a “closed-form,” but nevertheless is readily computable. This paper describes some of the basic ideas of closed-loop convex analysis and design, in general terms.