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| 非线性离散奇异摄动系统的组合优化控制方法的合理性分析 | |
| 引用本文： | 张艳,殷明慧,蔡晨晓,邹云.非线性离散奇异摄动系统的组合优化控制方法的合理性分析[J].控制与决策,2016,31(4):685-692. |
| 作者姓名： | 张艳 殷明慧 蔡晨晓 邹云 |
| 作者单位： | 南京理工大学自动化学院，南京210094. |
| 基金项目： | 国家自然科学基金项目(61203129, 61174038)；中央高校基本科研业务费专项资金项目(30920130121010, 30920140112005). |
| 摘 要： | 分析一类非线性离散奇异摄动系统的降阶组合优化控制器的合理性, 即降阶组合控制器与原始高阶优化控制器之间的关系. 基于快、慢子系统的解耦, 分别对快、慢子系统设计子优化控制器, 并进一步提出作用于原高阶系统的组合优化控制器. 对原高阶系统设计传统高阶优化控制器, 提出组合优化控制器近似等于传统高阶优化控制器的充分条件. 最后通过仿真验证了所得到结论的正确性. |
| 关 键 词： | 非线性离散奇异摄动系统|组合优化控制|快慢分解 |
| 收稿时间： | 2015/1/5 0:00:00 |
| 修稿时间： | 2015/5/1 0:00:00 |
Analysis of composite optimal control method for a class of nonlinear discrete-time singularly perturbed systems |
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| ZHANG Yan YIN Ming-hui CAI Chen-xiao ZOU Yun.Analysis of composite optimal control method for a class of nonlinear discrete-time singularly perturbed systems[J].Control and Decision,2016,31(4):685-692. | |
| Authors: | ZHANG Yan YIN Ming-hui CAI Chen-xiao ZOU Yun |
| Abstract: | The optimal control problem of a class of nonlinear discrete-time singularly perturbed systems is studied. A composite optimal controller is designed based on the decomposition of the slow and fast subsystems, and an original high- order optimal controller is developed. Then, the relationship between the composite controller and the original controller is analyzed. It is proved that the composite control input is ??(??) close to the original control input under some conditions. The result is verified by two simulation examples. |
| Keywords: | nonlinear discrete-time singularly perturbed systems|composite optimal control|decomposition |
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