Title :
Exact bounds for stability robustness of uncertain singular systems via LFT-based method
Author :
Lin, J.L. ; Chen, S.J.
Author_Institution :
Dept. of Eng. Sci., Nat. Cheng Kung Univ., Tainan, Taiwan
Abstract :
A one-parameter family of perturbations is considered for an uncertain singular system which is nominally regular, impulse-free and stable. Based on linear fractional transformations, two different approaches in the time-domain and the frequency-domain are provided to derive a closed form solution for the maximal bounds under which regularity, impulse-immunity and stability are robustly preserved. The approaches can be successfully applied to both continuous/discrete-time singular systems
Keywords :
closed loop systems; continuous time systems; discrete time systems; eigenvalues and eigenfunctions; frequency-domain analysis; matrix algebra; poles and zeros; reduced order systems; robust control; time-domain analysis; uncertain systems; LFT-based method; exact bounds; frequency-domain; linear fractional transformations; maximal bounds; stability robustness; time-domain; uncertain singular systems; Closed-form solution; Control systems; Controllability; Equations; Observability; Polynomials; Robust control; Robust stability; State feedback; Time domain analysis;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649809