# American Institute of Mathematical Sciences

May  2002, 2(2): 295-307. doi: 10.3934/dcdsb.2002.2.295

## Asymptotic tracking in DC-to-DC nonlinear power converters

 1 Institut de'Organizació i Control de Sistemes Industrials, Universitat Politècnicade Catalunya, Avda. Diagonal 647, Pl. 11, 08028 Barcelona, Spain, Spain

Received  April 2001 Revised  January 2002 Published  February 2002

The aim of this paper is to solve a tracking problem in a particular second order control system that requires indirect control. A complete knowledge of the plant parameters is assumed. The calculation of the indirect tracking depends on the solution of an inverse problem given by an ordinary differential equation. In spite of the instability of the generic solution of the differential equation, the existence of a bounded, periodic solution for the tracking of a periodic signal is proved. Finally, the periodic solution is approximated by the harmonic balance method, and the original tracking problem is solved.
Citation: E. Fossas-Colet, J.M. Olm-Miras. Asymptotic tracking in DC-to-DC nonlinear power converters. Discrete and Continuous Dynamical Systems - B, 2002, 2 (2) : 295-307. doi: 10.3934/dcdsb.2002.2.295
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