A LINEARIZATION TECHNIQUE FOR NONLINEAR SDOF SYSTEMS BASED ON BLOCK PULSE TRANSFORM

This paper addresses a linearization technique for a single degree of freedom (SDOF) linearizablenonlinear system based on block pulse (BP) transform. The BP transform gives effective tools tosimplify control and system problems. The main goal of this work is on using BP transformproperties in process of linearization of nonlinear problems. It is necessary to compare the resultsobtained using this method with other traditional methods to verify the effectiveness of the proposedmethod. The efficiency of BP transform method compared with the traditional equivalentlinearization (EL) method. Both numerical simulations are applied to the Duffing nonlinearoscillator system to demonstrate the feasibility of the proposed method based on BP transform.Finally, the results of the comparison between the approaches depicted the proposed method is ableto approximate the nonlinear systems behavior. The results showed the superiority of the proposedapproach in the sense that it is more accurate by computational advantageous.

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