| 摘要: |
| 对DPS系统进行了分析与控制，计算耗散性函数得到其耗散性，结合李雅普诺夫指数证明了其混沌性；根据Routh-Hurwitz判据判断了平衡点的稳定性， 采用matlab数值模拟相图验证了该系统具有丰富的动力学现象且与Lorenz系统拓扑不相似；利用微分反馈控制法、恒外激励控制法和x|x|控制法分别对DPS系统进行了混沌控制，Matlab仿真实验验证了对DPS系统可有效控制；完善了x|x|控制法，并对Lorenz系统、Chen系统、Lu系统、Rossler系统进行控制并利用matlab进行数值仿真相图和分岔图。 |
| 关键词: 新系统 动力学分析 混沌控制 x控制 |
| DOI： |
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| Dynamic Analysis and Control of DPS System |
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HE Hong-jun，CUI Yan，SUN Guan
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| Abstract: |
| In this paper, we analyze and control the DPS system, calculate the dissipation function, and prove its chaos with Lyapunov index. Routh-hurwitz criterion was used to judge the stability of the equilibrium point, and matlab numerical simulation phase diagram verified that the system has a rich dynamic phenomenon and is not similar to Lorenz system topology. Three methods, namely differential feedback control method, constant external excitation control method and x|x| control method, were used to control the chaos of the DPS system respectively. Matlab simulation shows that the DPS system can be effectively controlled. X |x| control method is improved, and Lorenz system, Chen system, Lu system, Rossler system control and matlab numerical simulation phase diagram and bifurcation diagram are obtained. |
| Key words: new system dynamic analysis chaos contronl x control |
