Stability of weighted multiple model adaptive control
加权多模型自适应控制的稳定性

The stability of the weighted multiple model adaptive control (WMMAC) is an open problem. On the basis of the model output error, we propose a recursive weighting-algorithm that is convergent when the model output error is separable. Under this condition, we prove the stability and the convergence of WMMAC systems, based on the virtual equivalent system methodology. This analysis method and the result thereof are independent of specific local control strategy and specific weighting algorithm.