基于紧格式线性化的无模型动态矩阵控制  

Model-free Dynamic Matrix Control of Nonlinear Systems Based on Linearization of Tight Format

作　　者：侯立刚[1] 徐利军[1] 苏成利[1] 孙淑杰[1] 

机构地区：[1]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001

出　　处：《控制工程》2013年第2期246-249,253,共5页Control Engineering of China

基　　金：辽宁省科技攻关项目资助(2011216011);辽宁省自然科学基金资助(20102127);辽宁省高校创新团队支持计划项目资助(2009T062)

摘　　要：针对常规无模型自适应控制(MFAC)算法只利用了受控系统I/O数据的零阶信息,许多系统内部信息没有充分利用的缺陷,提出了一种基于紧格式线性化的无模型动态矩阵控制方法。该方法利用紧格式线性化方法把非线性系统转化为一组由伪梯度向量描述的线性系统,将动态矩阵控制算法的预测模型和该伪梯度向量相结合,推导出无模型动态矩阵控制的动态模型。在此基础上,利用滚动优化和反馈校正等策略,推导出了无模型动态矩阵控制律的解析式。由于该方法中引入了受控系统I/O数据所带的系统内部信息,极大地提高了预测模型的精确性,增强了系统的鲁棒性,从而有效改善了控制器的控制性能。仿真结果表明该算法具有一定的结构自适应性、良好的伺服性和较强的鲁棒性。A model - free dynamic matrix control algorithm based on linearization of tight format is proposed to address the shortcomings that caused by the conventional MFAC algorithm only using I/O data of the zero -order information, many available information does not take full advantage of the system. In the algorithm, linearization of tight format is used to convert nonlinear systems into linear systems by a series of pseudo - gradient. The model - free dynamic matrix control dynamic identification model is deduced by the dynamic ma trix control algorithm predictive model and the pseudo - gradient vector combination. And using the rolling optimization and feedback compensation control strategy optimization, the MFAC -DMC control law is obtained. The algorithm in the basic model -free control method based on the controlled systemg I/0 data carried by the system more efficient use of information, greatly improves the accuracy of prediction model, which significantly improved the controller control performance. The simulation results show that the proposed algo rithm has certain structure adaptability, excellent tracking ability and strong robustness.

关 键 词：紧格式线性化 伪梯度 泛模型 动态矩阵控制 无模型控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]