Title :
Robust stabilization of interval plant family using H∞ -optimization technique
Author :
Xie, Dahua ; Li, Kan ; Wu, Qinghe
Author_Institution :
Dept. of Autom. Control, Beijing Inst. of Technol., China
Abstract :
The robust stabilization problem (RSP) of an interval plant family is considered. By representing the nominal plant with the normalized coprime factorization description, the RSP of interval plant family is converted to a particular H∞ control problem. An analytical formula for calculating the parametric stability radius δmax of the closed-loop system consisting of the interval plant family and the H∞ controller is given. Using δmax, the stability margin εIP, of the closed-loop system, described in terms of the H∞-norm of the uncertain factors in the NCF description, is calculated. Numerical example shows that εIP is larger than the stability margin of the general unstructured uncertainties case
Keywords :
H∞ control; H∞ optimisation; closed loop systems; robust control; δmax; H∞ control problem; H∞ controller; H∞-norm; H∞-optimization technique; NCF description; analytical formula; closed-loop system; general unstructured uncertainties case; interval plant family; nominal plant; normalized coprime factorization; normalized coprime factorization description; parametric stability radius; robust stabilization problem; stability margin; uncertain factors; Automatic control; Control systems; Electrostatic precipitators; High definition video; Performance analysis; Polynomials; Robust control; Robustness; Stability analysis; Uncertainty;
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/.2001.981198
