Title :
Synthesis of positive real ℋ2 controllers
Author :
Geromel, J.C. ; Gapski, P.B.
Author_Institution :
Sch. of Electr. Eng., UNICAMP, Campinas, Brazil
fDate :
7/1/1997 12:00:00 AM
Abstract :
This paper describes a synthesis procedure for strictly positive real observer-based controllers. In particular, we address the standard ℋ2-optimal control problem with the additional constraint on the strict positive realness of the controller. A suboptimal version of this problem is shown to be a convex optimization problem, and a linear matrix inequality-based solution is provided. One example illustrates the main results
Keywords :
continuous time systems; control system synthesis; matrix algebra; observers; optimal control; optimisation; robust control; H2 control; continuous time systems; convex optimization; linear matrix inequality; observer-based controllers; optimal control; positive real controller; robust control; Automatic control; Control system synthesis; Control systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Robust control; Robustness; Stability; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on