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The main objectives of this paper are to formalize models of quality control systems to develop theories of quality control systems, which usually have been studied descriptively, and to study a desirable form of the systems through the formulation. Usual activities for quality control have made much of consistency of quality. On the other hand, in this paper, a system that relates quality with its cause, i.e. various engineering techniques, is also regarded as important. A necessary technique for achieving each quality goal is made clearer by such a system. An internal adaptation of quality control systems is studied to solve issues on quality assurance and to methodize quality goal seeking. A concept of coordination is interpreted for this study, whose results are applied to a corporation and the effectiveness is examined.