Title :
An LMI approach to fixed order LTR controller
Author :
Shafai, B. ; Uddin, V. ; Niemann, H.H. ; Stoustrup, J.
Author_Institution :
Northeastern Univ., Boston, MA, USA
Abstract :
In this paper the problem of optimal ℋ∞ norm approximation of an LTR controller with specified poles is considered. A structurally predefined fixed order LTR controller is introduced which has the same dimension as the number of transmission zeros. It is shown that the design problem can be reduced into an equivalent convex optimization problem involving LMI which can be solved efficiently. We demonstrate the performance of this LTR controller by comparing it to a functional observer-based LTR controller of the same dimension
Keywords :
H∞ control; control system synthesis; convex programming; matrix algebra; poles and zeros; LMI approach; equivalent convex optimization problem; functional observer-based LTR controller; optimal ℋ∞ norm approximation; poles; structurally predefined fixed order LTR controller; transmission zeros; Control systems; Control theory; Degradation; Design methodology; Design optimization; Feedback loop; Filtering theory; Linear systems; Optimal control; Transfer functions;
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.1996.577656
