Title :
Structural analysis of robust control systems
Author :
Tsumura, Kouji ; Kitamura, Masafumi
Author_Institution :
Dept. of Inf. Sci., Tokyo Univ., Japan
fDate :
1/1/2002 12:00:00 AM
Abstract :
In this paper, a necessary and sufficient condition for well-posedness is presented using the inclusion condition of uncertainty, and a set of all the systems corresponding to the uncertainty with which a closed-loop system is well-posed is given. Furthermore, we analyze the topology of the set of systems based on the well-posedness property. We give the number of connected components in the set of uncertainty in the cases of complex matrix uncertainty and 2×2 real matrix uncertainty
Keywords :
closed loop systems; control system analysis; matrix algebra; robust control; topology; uncertain systems; closed-loop system; complex matrix uncertainty; connected components; necessary condition; real matrix uncertainty; robust control systems; structural analysis; sufficient condition; topology; uncertainty inclusion condition; weIl-posedness; Automatic control; Control system analysis; Delay effects; Delay systems; Design methodology; Differential equations; Linear systems; Matrix converters; Observability; Robust control;
Journal_Title :
Automatic Control, IEEE Transactions on