Abstract

ABSTRACTThe analysis of Non-linear Control Systems with Random inputs is of very great practical interest. In such an analysis statistical linearization techniques are useful since they are simple to use, being based on the linear transformation of random functions. Mathematical methods for this transformation are quite straightforward. This technique results in the non-linear element being replaced by an equivalent linear gain. There are methods available for the analysis of ‘zero-memory’ or interialess non-linearities. A method is proposed for the analysis of an important ‘memory’ type non-linearity, a relay with hysteresis. This type of non-linearity is important in practice since relay or on-off servos are an important class of systems.

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