Practical stabilization of a class of switched systems: Dwell-time approach

©The authors 2014. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This paper addresses a problem of robust stabilization for a class of switched systems in the presence of bounded perturbations. We consider non-linear dynamic models under arbitrary switching mechanisms. The practical stabilization method we propose is carried out by a linear-type feedback switching control strategy subject to an average dwell-time scheme. We apply the newly elaborated (extended) version of the conventional invariant ellipsoid method for this purpose. The numerically implementable sufficient conditions for the practical stability of systems are derived using bilinear matrix inequalities. The obtained results are illustrated by the example of a continuous stirred tank reactor.