Abstract
A nonlinear automatic regulation system is one that contains at least one element described by a nonlinear equation. The classification of nonlinear types of elements is as follows: (1) a relay-type element, the possible shapes of characteristics, (2) element with piece wise-linear characteristic and elements described by piecewise-linear differential equations, (3) element with arbitrary curved characteristic, (4) an element, the equation of which contains the product of variables or their derivatives and various other more complicated joint combinations, (5) non-linear element with delay, and (6) a non-linear pulse element. This chapter discusses the method of composing the equations for nonlinear systems. It also presents several examples of equations for relay type nonlinear systems and those for nonlinear systems with dry friction or backlash in mechanical transmission and several examples of deriving the equations of automatic systems with other types of nonlinearities.
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