15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
IMPROVED MULTIPLE MODEL ADAPTIVE CONTROL AND ITS STABILITY ANALYSIS
Xiaoli Li*, Shuning Wang** and Wei Wang***
* (Department of Automation, Tsinghua University, Beijing, China)
** (Department of Automation, Tsinghua university, Beijing, China. Visiting Research Fellow in Center for System Science, Department of Electrical Engineering, Yale University, New Haven, USA)
*** (School of Electronics and Information Engineering, Dalian University of Technology,
Dalian, 116023,P.R. China)
Email: lixiaoli@mail.au.tsinghu.edu.cn

Multiple model adaptive control (MMAC) of discrete time plant is considered in this paper. The plant can be a time invariant system with unknown parameters or a time variant system with jumping parameter. Localization method is combined with the design of discrete time system MMAC. Multiple models of the plant are set up to cover the uncertainties of the plant dynamics. Every sample time, by using localization method, only a few of models which are closer to the “true” model of the plant are selected to form a multiple model controller, so the big computation burden of the multiple model algorithm is greatly reduced. It is proved that the closed loop system is stable when multi-model controller is used to a linear time-invariant plant with unknown parameters. The simulation results are given to show the usefulness of the proposed method.
Keywords: adaptive control, discrete time, models, parameters, closed-loop
Session slot T-Mo-A03: Switching and Multiple Models for Adaptive Control/Area code 3b : Adaptive Control and Tuning