Multivariable model reference adaptive control using matrix factorization
矩阵分解的多变量模型参考自适应控制

Multivariable model reference adaptive control using high frequency gain matrix factorization is studied.First,a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.Then,by introducing the normalizing signal and Lyapnov-like function,the adaptive laws with normalization are derived.Third,some useful properties of fictitious normalizing signal are proposed.Finally,the stability and convergence analysis of the closed-loop system is provided.