document: LMI approach to digital redesign of linear time-invariant systems A simple design methodology for the digital redesign of static state feedback controllers by using linear matrix inequalities is presented . The proposed method provides close matching of the states between the original continuous-time system and those of the digitally redesigned system with a guaranteed stability . Specifically , the digital redesign problem is reformulated as linear matrix inequalities -LRB- LMIs -RRB- and solved by a numerical optimisation technique . The main feature of the proposed method is that the closed-loop stability of the digitally redesigned system is explicitly guaranteed within the design procedure using the LMI-based approach . A numerical example of the position control of a simple crane system is presented
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