A stability criterion for weighting multiple model adaptive control

Based on virtual equivalent system concept and methodology, a criterion on the stability of weighting multiple model adaptive control (MMAC) of linear time-invariant discrete plant is presented. The obtained result indicates that the stability of weighting MMAC depends mainly on the convergence of posterior probability evaluator which represents an identification subsystem in a weighting multiple model adaptive control system. For that a general weighting MMAC with arbitrary controller design strategy and arbitrary algorithm of posterior probability evaluation is considered, we believe that virtual equivalent system concept and methodology could be a potential approach towards a general theory of weighting multiple model adaptive control.