Robust Stability Control for Neutral Delay Systems via Linear Matrix Inequalities

• Main Authors: Chien - Liang Lin, 林建良
• Other Authors: Pin - Lin Liu
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/85967288806440804015

碩士 === 建國科技大學 === 自動化工程系暨機電光系統研究所 === 96 === In the practical system, because of varying of the enviroment, the parameters of the systems have some uncertainties. Delay and uncertainty are widely exist in control problems. They play an important role of stability analysis and controller design. And another problem we concered is time-delay problem. In the practical system, states transmission need times, so time-delay problem would happen. Because of the above reasons, we will discuss the robust stability of the time-delay systems in this thesis. The problem of neutral time-delay in control system is very significant, since it is frequently a source of instability and often encountered in various engineering systems. A complete study of the robust control of time-delay systems via the linear matrix inequality approach is presented in this dissertation. Based on the Lyapunov-Krasovskii functionals combining with linear matrix inequality (LMI) techniques, simple and improved delay-dependent robust stability criteria are derived. Finally, some examples and simulation results are provided to illustrate the versatility and performance of the proposed method. It is believed that the results of our study in this thesis will be help to analyze neutral delay systems in the future.