LMI approach to L/sub 2/-gain analysis and control synthesis of uncertain switched systems

L/sub 2/-gain analysis is used to characterise conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an L/sub 2/-gain smaller than a constant (gamma). The control synthesis is to design switched-state feedback and switched output feedback controllers, guaranteeing that the corresponding closed-loop system is UQS with an L/sub 2/-gain smaller than a constant (gamma). All the results are expressed in terms of linear matrix inequalities, which can be easily tested with efficient algorithms.