Systems have two categories, one is linear and the other is nonlinear.The linear systems have uniform descriptions and the nonlinear systems have countless categories and have no uniform descriptions.The linear-parameter systems are a special class of nonlinear systems and are linear on the parameter space.For pseudo-linear-parameter systems, this paper studies and presents the auxiliary model based multi-innovation(MI) identification methods, the data filtering based auxiliary model MI identification methods, the model decomposition based auxiliary model MI identification methods, and the filtering based decomposition MI identification methods.Finally, the computational efficiency, the computational steps and the flowcharts of several typical identification algorithms are discussed.