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# Accession Number:

## AD0265275

# Title:

## ON THE OPTIMUM DESIGN OF PREDICTOR CONTROL SYSTEMS

# Descriptive Note:

# Corporate Author:

## POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

# Report Date:

## 1961-08-24

# Pagination or Media Count:

##
1.0

# Abstract:

## Microwave Research Inst., Polytechnic Inst. of Brooklyn, N. Y. STABILIZATION OF MULTILOOP SYSTEMS VIA THE SENSITIVITY FUNCTION, by R. Haddad. 30 Aug 61, 120p. incl. illus. tables Research rept. no. PIBMRI-944-61 Contract AF 18603105 AFOSR-1420Unclassified report DESCRIPTORS Servo systems, Servo mecha nisms, Feedback, Circuits, Electrical net works, Design, Stabilization, Sensitivity. Theses, Mathematical analysis, Topology, Algebra. The stabilization of multiloop systems against individual variations in one or more of the system parameters is studied. A correlation between the stability of a multiloop configuration and the real-frequency behavior of the sensitivity function is derived. From this relationship, a set of stability margins is developed which provide a quantitative measure of the destabilizing effects of variations in each parameter. The margins, referred to as parameter gain and phase margins are shown to be generalizations of the familiar gain and phase margins of the single-loop, servo system. The design objective is the realization of a set of specified stability margins the relationship between these margins and the real-frequency behavior of the associated sensitivity functions gives rise to specification of the sinusoidal response of compensation networks at a set of discrete frequencies. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#