Title :
Topological structure of robust control systems
Author :
Tsumura, Kouji ; Kitamura, Masafumi
Author_Institution :
Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan
Abstract :
This paper gives a necessary and sufficient condition for the well-posedness by using inclusion condition of uncertainty, and also gives a set of all the systems corresponding to the uncertainty with which a closed loop system is well-posed. Furthermore, we analyze the topology of systems based on the well-posedness. We give the number of the connected components of the set of uncertainty in the cases of complex matrix uncertainty and 2×2 real matrix uncertainty
Keywords :
closed loop systems; matrix algebra; robust control; topology; uncertain systems; 2×2 real matrix uncertainty; closed loop system; complex matrix uncertainty; connected components; inclusion condition; necessary and sufficient condition; robust control systems; topological structure; uncertainty; well-posedness; Closed loop systems; Control systems; Physics computing; Robust control; Robust stability; Size control; Sufficient conditions; Time varying systems; Topology; Uncertainty;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758437
