Der Pol-Duffing Research Articles

Application of the quantitative synthesis of feedback systems with uncertain non-linear plants

An improvement of the quantitative feedback theory for uncertain non-linear single-input-single-output (SISO) systems is obtained, by using a new procedure to convert the uncertain non-linear plant into an “equivalent” linear time-invariant plant set. The method is applied to the control of uncertain Van der Pol plant and Duffing plant. The results, compared with those obtained by following the classical approach, show the superiority of the new technique in reducing the “cost of feedback” in bandwidths of the compensation, for the same extent of plant uncertainty.

A Critical Study of theR − xPlane Method†

ABSTRACT A critical study of the R − x plane method (Deekshatulu 1963) has been made by application of the method to Van der Pol's equation and Duffing's equation. A number of ambiguous points have been brought out and their solutions which can be very useful are suggested.