Robust Delay-dependent H Infinity Controller Design for Uncertain Singular Multiple With Time-delayed

• Main Authors: Yu-Sheng Liu, 劉昱陞
• Other Authors: Ching-Hsiang Lee
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/03265131797437408919

碩士 === 國立高雄應用科技大學 === 電機工程系 === 99 === The problem of robust delay-dependent state feedback and state feedback controllers design for uncertain singular systems with arbitrary finite number multiple time-delays is investigated in this thesis. The resulting LMI sufficient conditions for the stability of the systems are succinct. The uncertainties under consideration are norm-bounded. In terms of linear matrix inequality (LMI) approach, the delay-dependent bounded real lemma (BRL) is presented to ensure the systems to be regular, impulse free, and stable via an augmented Lyapunov- Krasovskii functional and the free-weighting matrix method. Based on this criterion obtained, the delay-dependent sufficient condition for the existence of state feedback controller is presented via strict LMI. Numerical examples are presented to illustrate the effectiveness of the proposed approach.