| 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]. 工程科学学报, 2007, 29(11): 1171-1176. DOI: 10.13374/j.issn1001-053x.2007.11.023 |
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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： | 1.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 |
| 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]. Chinese Journal of Engineering, 2007, 29(11): 1171-1176. DOI: 10.13374/j.issn1001-053x.2007.11.023 |
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| Authors: | XU Mingzhu LIU Heping LI Xiaoli WANG Yunjian |
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| Affiliation: | 1.Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China |
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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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