Title :
A solvability condition of general robust control problems
Author :
Kiyama, Tsuyoshi ; Toyora, Sachio ; Hara, Shinji
Author_Institution :
Osaka Univ., Suita Osaka, Japan
Abstract :
This paper is concerned with the robust well-posedness problem which is an extension of a general robust control problem. We derive a new solvability condition of the problem in the form of a linear matrix inequality (LMI) condition adding a rank condition. The condition is still nonconvex due to the existence of the rank condition. However, it can be checked approximately with the alternating projection method, and the approach might be more efficient than the existing methods from the viewpoint of computation.
Keywords :
linear matrix inequalities; robust control; LMI condition; alternating projection method; linear matrix inequality condition; nonconvex condition; rank condition; robust control; solvability condition; Computer hacking; Control system synthesis; Feedback control; Linear matrix inequalities; Robust control; Robustness; Sufficient conditions; Symmetric matrices; Uncertain systems; Virtual manufacturing;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1195829