Title :
Decentralized quadratic stabilization of interconnected descriptor systems
Author :
Yasuda, Kazunori ; Noso, Fumiko
Author_Institution :
Fac. of Syst. Eng., Wakayama Univ., Japan
Abstract :
This paper considers the problem of quadratic stabilizability for a class of interconnected descriptor systems such that each subsystem is represented in the descriptor form and parametric uncertainties lie in all system matrices of the subsystems and also in interaction gains among subsystems. Quadratic stability requires here that the interconnected descriptor system has neither unstable finite modes nor impulsive modes. This paper presents a sufficient condition under which the interconnected descriptor system is quadratically stabilizable via decentralized static feedback. The condition is given in terms of matrix inequalities on the subsystem level and an M-matrix constraint for the matrix consisting of the upper bounds of the interaction gains
Keywords :
decentralised control; feedback; interconnected systems; matrix algebra; stability criteria; uncertain systems; M-matrix constraint; decentralized quadratic stabilization; decentralized static feedback; impulsive modes; interaction gains; interconnected descriptor systems; matrix inequalities; parametric uncertainties; unstable finite modes; Control systems; Feedback; Interconnected systems; Linear matrix inequalities; Robust control; Stability; Sufficient conditions; Uncertain systems; Uncertainty; Upper bound;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577458