Title :
Robustly stabilizing controllers for dissipative infinite-dimensional systems with colocated actuators and sensors
Author :
Oostveen, Job C. ; Curtain, Ruth F.
Author_Institution :
Dept. of Math., Groningen Univ., Netherlands
Abstract :
We solve the problem of robust stabilization with respect to normalized coprime factor perturbations for a new class of infinite-dimensional systems with finite rank, colocated actuators and sensors and possibly infinitely many unstable eigenvalues on the imaginary axis. Such systems are often used to model large scale flexible space structures. These systems are not exponentially stabilizable, which means that the existing theory is not applicable
Keywords :
H∞ control; eigenvalues and eigenfunctions; flexible structures; large-scale systems; multidimensional systems; partial differential equations; robust control; state-space methods; transfer function matrices; coprime factorization; dissipative infinite-dimensional systems; eigenvalues; flexible space structures; large scale structure; perturbations; robust control; stabilization; state space; transfer matrix; Actuators; Control systems; Eigenvalues and eigenfunctions; Image sensors; Large-scale systems; Riccati equations; Robust control; Robustness; Sensor systems; Transfer functions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650681