Title :
H∞ strong stabilization
Author :
Campos-Delgado, Daniel Ulises ; Zhou, Kemin
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
Presents a technique for designing stable H∞ controllers. Similar to some methods in the existing literature, the proposed method also uses the parameterization of all suboptimal H∞ controllers so that the stable H∞ design problem can be (conservatively) converted into another 2-block standard H∞ problem. However, a weighting function is introduced in this method to alleviate the conservativeness of the previous formulations. It is further shown that the resulting high-order controller can be significantly reduced by a two-step reduction algorithm. Numerical examples are presented to demonstrate the effectiveness of the proposed method
Keywords :
H∞ control; control system synthesis; stability; suboptimal control; 2-block standard H∞ problem; H∞ strong stabilization; high-order controller; parameterization; stable H∞ design problem; stable controllers; suboptimal H∞ controllers; two-step reduction algorithm; weighting function; Centralized control; Control nonlinearities; Cost function; Filtering; Kalman filters; Optimal control; Poles and zeros; Stability; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980107
