Closed-loop convex analysis of performance limits for linear control systems

Closed-loop convex analysis and design, in which the linear controller design problem is reformulated as a convex optimization problem that may be more easily solved than the problems resulting from conventional formulations, are discussed. This reformulation 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. Some of the basic ideas of closed-loop convex analysis and design are described in general terms