Robust tracking control of uncertain Duffing–Holmes control systems
Yeong-Jeu Sun
Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1282-1287
Abstract:
In this paper, the notion of virtual stabilizability for dynamical systems is introduced and the virtual stabilizability of uncertain Duffing–Holmes control systems is investigated. Based on the time-domain approach with differential inequality, a tracking control is proposed such that the states of uncertain Duffing–Holmes control system track the desired trajectories with any pre-specified exponential decay rate and convergence radius. Moreover, we present an algorithm to find such a tracking control. Finally, a numerical example is provided to illustrate the use of the main results.
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1282-1287
DOI: 10.1016/j.chaos.2007.09.007
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