摘要
通过构造分数阶滑模曲面,对一类分数阶混沌系统进行了滑模控制研究。利用预估-校正算法编制MATLAB仿真程序,对分数阶Liu系统、分数阶Chen系统、分数阶Lorenz系统以及分数阶金融系统的仿真实验表明所设计的滑模控制器能使该类分数阶混沌系统在其平衡点处渐近稳定。
By constructing the fractional order sliding mode surface, research on the sliding mode control for a class of fractional or- der chaotic system is conducted, and an MATLAB simulation program is composed by means of predictor-corrector algorithm. The simulation experiment results from the fractional order Liu system, fractional order Chert system, fractional order Lorenz system, and fractional order financial system show that the sliding mode controller can keep such fractional order chaotic system stable asymptoti- cally at the equilibrium point.
出处
《机械制造与自动化》
2016年第3期180-183,共4页
Machine Building & Automation
基金
江苏省高校自然科学基金(14KJD510008)
南京航空航天大学博士学位论文创新与创优基金(BCXJ13_07)
江苏省大学生实践创新训练计划项目(201410304003Z)
关键词
分数阶混沌系统
预估-校正算法
分数阶滑模曲面
滑模控制
frictional order chaotic system
predictor-corrector algorithm
frictional order sliding mode surface
sliding mode control