| 基于KAUTZ模型的预测函数控制及其稳定条件 |
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| 引用本文： | 许鸣珠,刘贺平,李晓理,王允建.基于KAUTZ模型的预测函数控制及其稳定条件[J].北京科技大学学报,2007,29(11):1171-1176. |
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| 作者姓名： | 许鸣珠 刘贺平 李晓理 王允建 |
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| 作者单位： | 北京科技大学信息工程学院,北京,100083 |
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| 基金项目： | 北京市教委重点学科建设项目 |
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| 摘 要： | 对模型未知的系统采用Kautz函数逼近得到系统的近似模型.基于所得到的Kautz模型设计了一种预测函数控制器.对该算法进行了稳定性分析,依据Lyapunov稳定性定理得到了保证闭环控制系统稳定的充分条件.仿真实验证明,该算法能够准确逼近真实系统模型,实现自适应控制,得到满意的控制效果.
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| 关 键 词： | 预测函数控制 Kautz模型 最小二乘辨识 Lyapunov稳定性 系统模型 预测函数控制 稳定条件 model based predictive functional control condition 控制效果 适应控制 逼近真实 验证 仿真 充分条件 控制系统稳定 闭环 稳定性定理 Lyapunov 分析 算法 控制器 |
| 收稿时间： | 2006-08-09 |
| 修稿时间： | 2006-10-30 |
Stability condition of predictive functional control based on Kautz model |
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| XU Mingzhu,LIU Heping,LI Xiaoli,WANG Yunjian.Stability condition of predictive functional control based on Kautz model[J].Journal of University of Science and Technology Beijing,2007,29(11):1171-1176. |
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| Authors: | XU Mingzhu LIU Heping LI Xiaoli WANG Yunjian |
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| Abstract: | The orthogonal Kautz function was used to obtain the approximate model of a system. An adaptive predictive functional control algorithm using the Kautz model was designed. The stability of the algorithm was analyzed, and the sufficient condition to make a closed-loop system stable was presented based on the Lyapunov stability theory. Simulation results show that the proposed algorithm is effective, which can describe the system exactly and reach a high degree of control performance. |
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| Keywords: | predictive functional control Kautz model RLS Lyapunov stability |
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