An efficient solution to multi-objective control problems with LMI objectives

✍ Scribed by Carsten W. Scherer

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 409 KB
• Volume: 40
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(99)00122-x

✦ Synopsis

We revisit a technique for solving multi-objective control problems through a nely parameterizing the closed-loop system with the Youla parameterization and conÿning the search of the Youla parameter to ÿnite-dimensional subspaces. It is pretty well-known how to solve such problems if the closed-loop speciÿcations are formulated in terms of the solvability of linear matrix inequalities. However, all approaches proposed so far su er from a substantial ination of size of the resulting optimization problems if improving the approximation accuracy. On the basis of a novel state-space approach to solving static output feedback control problems by convex optimization for a speciÿc class of plants, we reveal how the growth of the size of the optimization problems can be considerably reduced to arrive at more e cient algorithms. As an additional ingredient we discuss how to use the so-called mixed controller as a starting point for a genuine multi-objective design in order to improve the algorithms.