Title :
Quadratic stability and stabilization of linear systems with Frobenius norm-bounded uncertainties
Author :
Lee, Joon Hwa ; Kwon, Wook Hyun ; Lee, Jae-Won
Author_Institution :
Dept. of Control & Instrum. Eng., Seoul City Univ., South Korea
fDate :
3/1/1996 12:00:00 AM
Abstract :
In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation
Keywords :
H∞ control; Riccati equations; linear systems; matrix algebra; stability; state feedback; uncertain systems; Frobenius norm-bounded uncertainties; Riccati equation; Riccati inequality; linear systems; necessary condition; quadratic stability; stabilization; state feedback; sufficient condition; uncertain system; Artificial intelligence; Automatic control; Linear systems; Measurement uncertainty; Moon; Riccati equations; Stability; State feedback; Sufficient conditions; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
