基于KAUTZ模型的预测函数控制及其稳定条件

基金项目:

北京市教委重点学科共建项目(No.00002268)

详细信息

Stability condition of predictive functional control based on Kautz model

Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China

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.
- 预测函数控制 /
- Kautz模型 /
- 最小二乘辨识 /
- Lyapunov稳定性
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.
- predictive functional control /
- Kautz model /
- RLS /
- Lyapunov stability