New Results on the Application of the Passification Method. A Survey

Foundations for the passification method were laid out by A.L. Fradkov in 1974 in the context of the adaptive stabilization problem for the output of a linear dynamic plant. Over the past decade, the passification method has been further developed, and new applications have appeared both in the field of systems theory and in practical control problems. This survey is devoted to these new results. We give a brief review of the fundamentals of the passification method, results of its applications in problems of adaptive and robust control, synchronization, control and estimation under communication constraints. We pay special attention to the method's application for networking systems. We also present some other applications of the passification method that do not fall into these categories.