Localization based switching adaptive control for time-varying discrete time systems

In this paper a new systematic switching control approach to adaptive stabilization of linear time-varying discrete-time systems is presented. This approach is based on a localization method, and is conceptually different from existing switching adaptive control schemes. A feature of the localization based method is that the control switching converges rapidly. By utilizing this fast speed of localization and the rate of admissible parameter variation, we provide conditions under which the closed-loop system can be exponentially stabilized.