Development of data‐based controller synthesis by convex optimization

Abstract

AbstractRecently, many researches extracting an essence from a huge number of data receive much attention in the various field of engineering. In the field of control engineering, the controller syntheses from time‐domain and/or frequency domain data are energetically studied based on numerical optimization techniques. This paper presents a recent development of data‐based controller synthesis by convex optimization, and shows that a special case of nonconvex optimization problems, which is often encountered in the control field, is reformulated as a convex optimization problem by introducing the concave‐convex procedure or the Iterated LMI constraints. As an application, the H∞ loop shaping design procedure reformulated using frequency response data of a controlled plant is presented.