Robustness analysis and control of uncertain descriptor systems

• Main Author: Chong, Lin.
• Other Authors: Wang, Jianliang
• Format: Theses and Dissertations
• Language: English
• Published: 2008
• Subjects: DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
• Online Access: http://hdl.handle.net/10356/13189
• Institution: Nanyang Technological University

This thesis presents some work on the analysis and control for uncertain descriptor systems. The analysis part includes robust stability, robust closed-loop stability, and robust controllability and observability. We first deal with the stability ro-bustness of uncertain descriptor systems and derive a norm bound for uncertain descriptor systems to be regular, impulse-free and stable. The problem of the so-called robust impulse controller of the uncertain system is also considered. Then, we study a class of uncertain linear descriptor systems with interval plants, and give a necessary and sufficient condition for the so-called robust structural stabil-ity. Next, we consider the robust stability of closed-loop systems with structured perturbations under preconstructed static output feedback, and give necessary and sufficient conditions. Using the presented method, necessary and sufficient condi-tions for robust open loop stability are also established.