摘要
针对一类参数未知,状态不能全部测量的分数阶混沌系统的同步控制问题,结合状态观测器和自适应方法,提出了一种更符合工程实际的新的控制方案,利用分数阶微积分稳定性理论,给出了基于状态观测器的控制律和自适应律。该同步方法理论严格,没有强加在系统上的限制条件,适用范围比较宽,便于实现,并且保留了非线性项,达到同步的时间短。以分数阶Rssler系统为研究对象,实现了参数未知,状态不能全部测量的分数阶混沌系统同步。理论分析与计算机仿真结果证实了该方法的有效性。
The synchronization control problem of the fractional order chaotic systems in which the parameters are unknown and the state cannot be all measured in the paper is discussed. Firstly, after the state observer and adaptive approach are combined, a new control scheme that more accord with the engineering practice is proposed. Secondly, the stability theory of fractional calculus is used, and the control law and adaptive law based on state observer are provided. The synchronization method has the following advantages：The theory is strict; The constraints are not be imposed on the system; It is easy to achieve; The nonlinear term is retained; The scope of application is wide and the time to the synchronization is short. The fractional order R6ssler system is as a research object, the synchronization of the fractional order chaotic systems in which the parameters are unknown and the state cannot be all measured is realized. Theoretical analysis and computer simulation results confirm the effectiveness of the proposed method
出处
《系统仿真技术》
2013年第4期366-370,共5页
System Simulation Technology
关键词
分数阶
同步
自适应
状态观测器
fractional
synchronization
adaptive
observer
