Title :
LMI synthesis of H2 and mixed H2/H∞ controllers for singular systems
Author :
Zhang, Liqian ; Huang, Biao ; Lam, James
Author_Institution :
Dept. of Chem. & Mater. Eng., Univ. of Alberta, Edmonton, Alta., Canada
Abstract :
This paper considers the H2 control problems for continuous-time singular systems with and without an H∞ constraint. Without the constraint, we derive necessary and sufficient conditions for the existence of H2 output feedback controllers using the linear matrix inequality (LMI) approach. With the H∞ constraint, sufficient LMI conditions on the existence of the H2 controller are obtained. In both cases, the desired H2 controller can be constructed through the feasible solutions of the LMIs. The proposed synthesis method is illustrated through numerical examples.
Keywords :
H∞ control; continuous time systems; control system synthesis; feedback; linear matrix inequalities; state-space methods; H2 control problems; H2 controller existence; H2 output feedback controllers; LMI synthesis; continuous-time singular systems; linear matrix inequality approach; mixed H2/H∞ controllers; necessary sufficient conditions; numerical examples; state-space matrices; Chemical processes; Control system synthesis; Control systems; Inductors; Linear feedback control systems; Linear matrix inequalities; Linear systems; Output feedback; Power system modeling; Riccati equations;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
DOI :
10.1109/TCSII.2003.816904
