Title :
Properties of algebraic Riccati inequalities and H∞ robust sub-optimal controller design
Author :
Shen, T. ; Tamura, K.
Author_Institution :
Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
Abstract :
Properties of the solutions of ARI (algebraic Riccati inequality), which appear in H∞ control theory, are studied. Positive matrix solutions of a set of ARI with perturbations in coefficient matrices are examined, and necessary and sufficient conditions for the existence are given in terms of nominal coefficient matrices. Using these properties, an H∞ robust sub-optimal controller design is given for a plant with uncertainties in the system, control input, and disturbance input matrices
Keywords :
control system synthesis; matrix algebra; optimal control; H∞ control; algebraic Riccati inequality; coefficient matrices; control system synthesis; matrix algebra; necessary conditions; robust suboptimal control; sufficient conditions; Control systems; Control theory; H infinity control; Linear matrix inequalities; Riccati equations; Robust control; State feedback; Sufficient conditions; Time varying systems; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261290
