Robust tracking control of uncertain chaotic systems

• Main Authors: Jian-Heng Hung, 洪健恆
• Other Authors: Yeong-Jeu Sun
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/11104590367998752372

碩士 === 義守大學 === 電機工程學系碩士班 === 99 === In this paper, the notion of virtual stabilizability for dynamical systems is introduced and the virtual stabilizabilities of uncertain Duffing-Holmes control systems and uncertain Horizontal Platform control systems are investigated. Based on the time-domain approach with differential inequality, a tracking control is proposed such that the states of uncertain Duffing-Holmes control systems track the desired trajectories with any pre-specified exponential decay rate and convergence radius. Besides, using time-domain methodology, a tracking control is provided such that the states of uncertain Horizontal Platform control systems track the desired trajectories with any pre-specified exponential decay rate and convergence radius. Furthermore, we present two algorithms to find such tracking controls. Finally, several numerical examples are given to illustrate the use of the main results.