Title :
Analysis of robust H2 performance with multipliers
Author_Institution :
Dept. of Aeronaut. & Astronaut., MIT, Cambridge, MA, USA
Abstract :
In this paper, we examine the problem of determining the worst-case H2 performance of a control system subject to linear, time-invariant uncertainties. We derive upper bounds on the performance, based on the theory of stability multipliers and the solution of an original optimal control problem. We address the numerical issues raised by the resulting computational problems: in particular, we show that newly developed interior-point convex optimization methods, combined with linear matrix inequalities apply very well to the fast and accurate solution of these problems. The new results compare favorably with prior ones
Keywords :
control system analysis; matrix algebra; optimal control; optimisation; robust control; uncertain systems; control system; interior-point convex optimization; linear matrix inequality; linear time-invariant uncertainty; optimal control; robust H2 performance; stability multipliers; upper bounds; Control systems; Ear; Hydrogen; Linear matrix inequalities; Optimal control; Performance analysis; Robust stability; Robustness; Uncertainty; Upper bound;
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.1994.411444
