Title :
H2 guaranteed cost control for singularly perturbed uncertain systems
Author :
Garcia, Germain ; Daafouz, Jamal ; Bernussou, Jacques
Author_Institution :
Lab. d´´Anal. et d´´Archit. des Syst., CNRS, Toulouse, France
fDate :
9/1/1998 12:00:00 AM
Abstract :
The H2 guaranteed cost control problem for a singularly perturbed norm-bounded uncertain system is addressed using the quadratic stabilizability framework. After defining the corresponding slow and fast uncertain subsystems, the set of quadratic stabilizing composite controls is characterized. Two Riccati equations have to be solved, one for the slow subsystem and the other for the fast subsystem. Choosing appropriately the weighting matrices, it is shown how to pick up in the set of quadratic stabilizing composite controls, a control minimizing an upper bound on the H2 norm of a certain transfer matrix. The case of the guaranteed cost control problem for the reduced system is also investigated
Keywords :
Riccati equations; reduced order systems; robust control; singularly perturbed systems; transfer function matrices; uncertain systems; H2 guaranteed cost control; Riccati equations; quadratic stabilizability framework; quadratic stabilizing composite controls; reduced system; singularly perturbed norm-bounded uncertain system; transfer matrix; weighting matrices; Control systems; Costs; Delay systems; Filtering theory; Linear approximation; Linear systems; Signal processing; System identification; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
