| 引用本文: | 宋运忠, 赵光宙, 齐冬莲.混沌吕系统的约束控制[J].控制理论与应用,2007,24(5):795~798.[点击复制] |
| SONG Yun-zhong, ZHAO Guang-zhou, QI Dong-lian.Constrained control of chaotic Lv system[J].Control Theory and Technology,2007,24(5):795~798.[点击复制] |
|
| 混沌吕系统的约束控制 |
| Constrained control of chaotic Lv system |
| 摘要点击 1542 全文点击 1848 投稿时间：2005-12-13 修订日期：2006-09-13 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 |
| 2007,24(5):795-798 |
| 中文关键词 混沌系统 混沌控制 吕系统 最小值原理 bang-bang 控制 |
| 英文关键词 chaotic system chaos control Lv system minimum principle bang-bang control |
| 基金项目 国家自然科学基金资助项目(60374013); 浙江省自然科学基金资助项目(M603217, Y104414). |
|
| 中文摘要 |
| 根据最小值原理为混沌吕系统设计了约束控制器, 该控制器能将混沌吕系统的两个不稳定的平衡点镇定；针对控制作用施加的3个不同位置, 推导了约束控制的3种不同的切换控制曲线. 所得到的控制规律前两个是bang-bang 控制; 最后一个根据混沌运动的遍历性特点, 引入范围可以调节的捕获区, 得到bang-bang 控制和逻辑判断相结合的复合控制规律. 通过施加闭环控制后对系统状态变化的仿真结果证明了所建议方法的正确性. |
| 英文摘要 |
| Constrained control is designed in this paper for chaotic L?u system based on the Minimum Principle. The two equilibria of L?u system, which are essentially unstable, can be stabilized by the constrained control action. In case of clarity and completeness, all three different switching surfaces or curves which are depending on the imposed positions of the control signal are derived. The first two of them among the resulted control laws are proved to be bang-bang ones. In order to overcome the constraint of the bang-bang control in the third one, we employed a captured zone with adjustable range according to the ergodicity of chaotic motion, so another control law is a compound one, consisting of bang-bang action and logic switching. Finally, the effectiveness of the suggested scheme is demonstrated and verified by the simulation results of a ultimate closed-control system. |
|
|
|
|
|