Title :
Robust decentralized mixed H2/H∞ dynamic output control for interconnected systems
Author :
Chen, Ning ; Gui, Wei-Hua
Author_Institution :
Central South Univ., Changsha
Abstract :
This paper considers a decentralized mixed H2/H∞ control problem for uncertain interconnected systems. The uncertainties are assumed to be value-bounded, and exist in system, control input and interconnection matrix of subsystems. A nonlinear matrix inequality (NMI) condition is derived for a robust decentralized H2/H∞ controller to exist, which achieves H2/H∞ cost performance. It is proposed to solve the NMI iteratively by the idea of homotopy, where some of the variables are fixed alternately on each iteration to reduce the NMI to a linear matrix inequality (LMI). A decentralized controller for the nominal system is computed first by imposing structural constraints on the coefficient matrices gradually. Then, the decentralized controller is modified again gradually to cope with the uncertainties.
Keywords :
/H∞ control; robust control; H2/H∞ control; homotopy method; interconnected systems; nonlinear matrix inequality; robust decentralized output control; Centralized control; Control system synthesis; Control systems; Hydrogen; Interconnected systems; Linear matrix inequalities; Output feedback; Robust control; Robustness; Uncertainty; Decentralized control; Homotopy method; Linear matrix inequality (LMI); Mixed H2/H∞; Uncertainty;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0972-3
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370210
