A design procedure for overlapped guaranteed cost controllers
Document typeConference lecture
Rights accessOpen Access
In this paper a quadratic guaranteed cost control problem for a class of linear continuous-time state-delay systems with norm-bounded uncertainties is considered. We will suppose that the systems are composed by two overlapped subsystems but the results can be easily extended to any number of subsystems. The main objective is to design overlapping guaranteed cost controllers with tridiagonal gain matrices for these kind of systems by using a linear matrix inequality (LMI) approach. With this idea in mind, we present a design strategy to reduce the computational burden and to increase the feasibility in the LMI problem. In this context, the use of so-called complementary matrices play an important role. A simple example to illustrate the advantages achieved by using the proposed method is supplied.
© 2008 the authors. This work has been accepted to IFAC for publication under a Creative Commons Licence CC-BY-NC-ND
CitationPalacios-Quiñonero, F.; Rodellar, J.; Rossell, J. M. A design procedure for overlapped guaranteed cost controllers. A: World Congress of the International Federation of Automatic Control. "17th IFAC World Congress Volume 41, Issue 2, Pages 1-16076 (2008)". Elsevier, 2008, p. 8701-8706.