The chaos control of uncertain unified chaotic systems is considered. Cascade adaptive control approach with only one control input is presented to stabilize states of the uncertain unified chaotic system at the zero equilibrium point. Since an adaptive controller based on dynamic compensation mechanism is employed, the exact model of the unified chaotic system is not necessarily required. By choosing appropriate controller parameters, chaotic phenomenon can be suppressed and the response speed is tunable. Sufficient condition for the asymptotic stability of the approach is derived. Numerical simulation results confirm that the cascade adaptive control approach with only one control signal is valid in chaos control of uncertain unified chaotic systems.
The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.
介绍燃烧振荡的产生机理及控制原理,针对一个非线性燃烧振荡系统模型,在对简单移相控制器进行设计和分析的基础上,设计一个基于观测器的鲁棒控制器(observer based robust controller,ORC)。该控制器结构简单,设计过程不依赖于对象的数学模型,且对控制对象的参数变化具有一定适应性。分析和仿真结果表明,ORC能够产生移相效果从而抑制燃烧振荡,当燃烧系统偏离设计条件一定范围时,ORC仍能有效抑制振荡,具有较好的鲁棒性。
