Title :
Robust performance H2/H∞ optimal control
Author :
Steinbuch, Maarten ; Bosgra, Okko H.
Author_Institution :
Philips Res. Lab., Eindhoven, Netherlands
Abstract :
This paper considers the robust performance mixed H2/H ∞ optimal control problem formulation. An explicit parametrization of H∞ norm bounded, causal, real-rational uncertainties is used, based on LMIs. This leads to a constrained H2 optimal control problem. In case the uncertainty can be considered to lie on its bound, a new parametrization for lossless bounded real functions can be used. Using this parametrization, it is possible to formulate an unconstrained optimization problem for the solution of the robust performance mixed H 2/H∞ optimal control problem. The theory is applied to a compact disc robust control problem
Keywords :
H∞ control; optimisation; robust control; H∞ norm bounded causal real-rational uncertainties; compact disc robust control; constrained H2 optimal control; lossless bounded real functions; robust performance H2/H∞ optimal control; unconstrained optimization; Control design; Control systems; Hydrogen; Laboratories; Mechanical engineering; Optimal control; Robust control; Robustness; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411619
