<p>Linear matrix inequalities in control system design is a selective course of control major, which can provide students with powerful theoretical and practical tools to study system and plays an important role in cultivating students' systematic control design and analysis ability. This course mainly teaches the concepts, methods and tools of linear matrix inequality for continuous and discrete linear systems, so that students can understand and master the linear matrix inequality method of control systems, and be able to conduct stability analysis, performance analysis, and properties based on linear matrix inequality techniques Further, students need to understand and be able to use linear matrix inequality tools to design system feedback controllers, H2 and H∞ control, etc. The objective of teaching this course is to cultivate students' innovative consciousness, ability to analyze problems and the ability to use simulation software to simulate, analyze and solve practical problems with control system design.</p>