Title :
On the synthesis of stable ℋ∞ controllers
Author :
Zeren, Murat ; Ozbay, Hitay
Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
fDate :
2/1/1999 12:00:00 AM
Abstract :
A sufficient condition is derived for the existence of a stable suboptimal ℋ∞ controller. It is shown that if a certain algebraic Riccati equation, determined from a parameterization of all suboptimal ℋ∞ controllers, has a positive definite stabilizing solution, then a stable ℋ∞ controller of order 2n can be constructed, where n is the order of the generalized plant
Keywords :
H∞ control; Riccati equations; algebra; control system synthesis; feedback; stability; suboptimal control; algebraic Riccati equation; positive definite stabilizing solution; stable suboptimal ℋ∞ controller; sufficient condition; Control system synthesis; Control systems; Costs; Interpolation; MIMO; Minimization methods; Optimal control; Riccati equations; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on