Robust Stabilization for Uncertain Singular State-Delayed Systems with State-Delayed Feedbacks

• Main Authors: Ying-Jay Ting, 丁英桔
• Other Authors: Ching-Hsiang Lee
• Format: Others
• Language: zh-TW
• Published: 101
• Online Access: http://ndltd.ncl.edu.tw/handle/24009221570367344843

碩士 === 國立高雄應用科技大學 === 電機工程系 === 100 === The problems of robust stability and stabilization for continuous time uncertain singular systems with state delay using both delayed and un-delayed state feedbacks are solved in this paper. The parametric uncertainty considered is of norm bounded type. When faults or failures appear in the systems, the uncertainties become very large. In these cases, state feedback control laws using only un-delayed states may not sufficient. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties, while the purpose of robust stabilization is to design a state feedback control law using both delayed and un-delayed state feedbacks such that the resulting closed-loop system is robustly stable. A strict linear matrix inequality (LMI) design approach is derived, and, an explicit expression for the desired robust state feedback control law is also given. Finally, numerical examples are provided to demonstrate the application of the proposed method.