The paper deals with a class of linear continuoustime state-delay systems with norm-bounded uncertainties which are composed by overlapped subsystems. The main goal is to design overlapping guaranteed cost controllers for this class of systems by using the corresponding feasible solution of a linear matrix inequality (LMI) problem. In the overlapping decompositions context the selection of so-called complementary
matrices is crucial. The paper presents a procedure to obtain numerical complementary matrices such that a bounded cost of the quadratic performance index is minimized. A simple example is supplied to illustrate the use of the proposed strategy.
CitationRossell, J.; Palacios-Quiñonero, F. Design of guaranteed cost overlapping controllers for a class of uncertain state-delay systems. A: American Control Conference. "2009 American Control Conference". St. Louis, Missouri: American Automatic Control Council, 2009, p. 391-393.
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