Linear Matrix Inequality and its Application in Control Theory

Abstract:

As a result of linear matrix inequality (LMI) and its good nature of mathematics as well as the breakthrough of solution method, many control problems can be transformed into a standard LMI problem to solve. Linear matrix inequality has received widely attention and applications in control system analysis and design. This paper introduces some of the basic content of LMI, such as the general description, the relevant algorithms and software. The controller will be designed using LMI such that the closed-loop system is asymptotically stable, and simulation will be given using Matlab. Finally, the population model will be given and analyzed.

• Periodical: Advanced Materials Research (Volume 853)
• Pages: 636-640
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.853.636
• Online since: December 2013
• Authors: Hai Yan Wang
• Keywords: Control System, Controller, Linear Matrix Inequality (LMI), MATLAB Software, Stability

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