Dwell time estimation algorithm for switched affine linear systems

This document shows a dwell time-based switching technique for affine linear systems. The affine system is defined as a parameter dependent homotopic combination of two base modes, where the intermediate modes create an “artificial” grid of subsystems, producing lower dwell times estimates, specially when the number of modes increases. In some practical applications, the interpolated modes may replace previously designed or existing modes over a defined variable or range. Finsler's lemma is used to develop a relaxed Lyapunov-based condition that ensures the stability of the switched system and reduces the computation time of the developed technique. A user-defined parameter is used to influence the dwell time estimation. Numerical calculations performed over a switched system derived from an adaptive vibration attenuation controller shows the effectiveness of the proposed algorithm.