Definition of algebra proportion analogical observer and its mathematical analysis

From the engineering observational fact and require, and based on the conception and theory of algebra equivalent observer, this paper presents the conception of algebra proportion analogical observer, which use betaG₁(s) as the state observer of G(s), where G₁(s) is the linear transform of G(s), meanwhile, G₁(s) is pure rational common fraction. Then this paper uses mathematical method to analyze the algebra proportion analogical observer, and educes the sufficient and necessary condition of coming into existence and correlative theorem and deduce. From the analysis of practical engineering meaning, the result can be obtained that this type observer has more capacious applying field.