Computation of robust H∞ controllers for time-delay systems using genetic algorithms

Abstract

This paper presents an evolutionary computation approach to design robust H∞ controllers for linear uncertain time-delay systems via a combination of genetic algorithms (GAs) and linear matrix inequalities (LMIs). Both state feedback and static output feedback controllers can be designed with this approach. It is demonstrated by numerical examples that the controllers designed by this approach can allow larger delay size than previous results for the same H∞ performance bound. Hence, this approach is less conservative than existing methods.