Linear matrix inequality approach to quadratic stabilisation of switched systems

Quadratic stabilisation via state and output feedback for continuous-time switched linear systems is studied with the use of a linear matrix inequality (LMI) approach. LMI-based conditions are established for both a state feedback case and an observer-based output feedback case. Under these conditions, the switched linear systems are quadratically stabilisable via either a state-based or a measurable output-based switching strategy. A sufficient and necessary LMI-based condition is also obtained for the state feedback case when there are only two subsystems in the switched linear systems. These results are extended to uncertain switched systems.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000222472200006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Automation & Control SystemsEngineering, Electrical & ElectronicInstruments & InstrumentationSCI(E)EI54ARTICLE3289-29415