An observer based asymptotic trajectory control using a scalar state for chaotic systems

• 来源期刊: 中国物理（英文版）
• 关键词: trajectory control chaotic control state observer a unified chaotic system
• 年，卷（期）: 2006,（7）
• 页码范围: 1454-1459
• 页数: 6页
• 语种: 英文

摘要

A state-observer based full-state asymptotic trajectory control (OFST3 method requiring a scalar state is presented to asymptotically drive all the states of chaotic systems to arbitrary desired trajectories. It is no surprise that OFSTC can obtain good tracking performance as desired due to using a state-observer. Significantly OFSTC requires only a scalar state of chaotic systems. A sinusoidal wave and two chaotic variables were taken as illustrative tracking trajectories to validate that using OFSTC can make all the states of a unified chaotic system track the desired trajectories with high tracking accuracy and in a finite time. It is noted that this is the first time that the state-observer of chaotic systems is designed on the basis of Kharitonov's Theorem.