Title :
A note on the solution of a class of BMIs for H∞ problems
Author :
Mattei, Massimiliano
Author_Institution :
Dipt. di Inf., Calabria Univ., Italy
Abstract :
Deals with the solution of a particular class of bilinear matrix inequalities arising in the synthesis of H∞ fixed-order controllers. It is well known that BMI optimisation problems are non-convex and NP hard. In the paper sufficient conditions are provided which allow us to convert the controller design problem into a linear matrix inequality feasibility problem
Keywords :
H∞ control; control system synthesis; linear systems; matrix algebra; BMIs; H∞ fixed-order controllers; NP hard problem; bilinear matrix inequalities; controller design problem; linear matrix inequality feasibility problem; sufficient conditions; Closed loop systems; Control system synthesis; Control systems; Feedback loop; Joining processes; Linear matrix inequalities; Output feedback; Stability; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914221
