本文简单叙述了线性矩阵不等式(LMI)在控制理论中应用的历史,重点介绍了LMI的原理及其在鲁棒预测控制综合方法中应用的一种新方法,举例说明了如何在预测控制综合方法中应用LMI。本文可作为在鲁棒预测控制中应用LMI 和用微机实现鲁棒预测控制算法的参考。关键词:线性矩阵不等式;凸问题;鲁棒预测控制Abstract:This paper sketches the history for application of LMI in control theory, emphasizes the principle of LMI and the importance for its application in robust predictive control synthesis approach, and illustrates how to apply LMI in a new synthesis approach of robust predict control via an example. This paper can serve as a reference for applying LMI in robust predictive control and carrying out robust predictive control algorithm on microcomputer.Keywords:LMI, convex problem, robust predictive control
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