Internal properness and stability in singular decentralized control systems

Regularization and Stabilization of the Rectangle Descriptor Decentralized Control Systems by Dynamic Compensator

“…Lemma 6 (Z. W. Gao, 1997Gao, , P. 2520Gao, -2521: When and only when the system (1) has no unstable decentralized finite fixed modes and decentralized pulse fixed modes, the square system (1) could be real stable by the normal ( i c E I  ) decentralized dynamic compensator, i.e. the corresponding closed-loop systems is interiorly real stable.…”

Decentralised control for complex systems - an invited survey

“…Based on the work in Zhang (1990) and Chang and Davison (1989), the decentralised quadratic stabilisation problem for a class of interconnected singular systems with uncertainty is investigated in Yasuda and Noso (1996) in which it was shown that quadratic stability requires that the considered system has neither decentralised unstable finite fixed modes nor decentralised impulsive fixed modes. The internal properness and stability of system (11) were discussed, and a set of necessary and sufficient conditions was presented in Gao et al (1997) such that the system can be stabilised by decentralised compensator-based feedback control. Decentralised stabilisation of singular and time-delay large-scale systems with impulsive solutions was discussed in Guan et al (1995) where the designed controllers are independent of time delay.…”

“…, N are design parameters, such that the corresponding closed-loop system has the desired performance (Guan et al, 1995;Zhang, 1997). Compensator-based decentralised control was studied for singular interconnected systems in Gao et al (1997).…”