Linear matrix inequality based robust control synthesis
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Linear Matrix Inequalities (LMIs) have appeared recently to be very efficient in matter of System and Control design. The purpose of this research is to express different problems of Control into an LMI formulation and to run some simulations to check the validity of these approaches. The two main problems looked at here are robust state feedback design and robust time delay filter design. From these two approaches, the concurrent robust state feedback/robust time delay filter design is studied in a third section. For the past ten years, some very efficient algorithms have been developed to solve linear matrix inequalities. For this thesis, the Matlab LMI toolbox has been used to run all the simulations. The results coincide in general with the theory and with the simulations done using different approaches.