Analysis and synthesis of uncertain switched discrete-time systems Academic Article uri icon


  • The problems of L2-gain analysis and control synthesis for a class of linear discrete-time switched systems with convex-bounded parameter uncertainties in all system matrices are investigated. The main thrust is based on the constructive use of an appropriate switched Lyapunov functional. The L2-gain analysis is to characterize conditions under which the linear switched system with polytopic uncertainties is uniformly quadratically stable with an L2 gain smaller than a prescribed constant level. The control synthesis is to design switched feedback schemes, whether based on state-, output measurements or by using dynamic output feedback, to guarantee that the corresponding closed-loop system enjoys the uniform quadratic stability with an L2 gain smaller than a prescribed constant level. All the developed results are expressed in terms of convex optimization over linear matrix inequalities and tested on representative examples. The author 2006.

published proceedings


author list (cited authors)

  • Mahmoud, M. S., Nounou, M. N., & Nounou, H. N.

citation count

  • 18

complete list of authors

  • Mahmoud, Magdi S||Nounou, Mohamed N||Nounou, Hazem N

publication date

  • June 2007