Title :
Design of linear uncertain systems guaranteeing quadratic boundedness
Author :
Ni, Mao-Lin ; Joo Er, Meng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A new necessary and sufficient condition on quadratic boundedness is presented for a class of linear systems which contain norm-bounded uncertainties. Furthermore, by utilizing a generalized Riccati equation, a simple and practical procedure is developed for determining linear robust controllers such that the resulting systems are quadratically bounded. An application to the rotational motion control of an axisymmetric spacecraft subject to unknown but bounded disturbance torques is included to demonstrate the effectiveness of the procedure presented in this paper
Keywords :
Riccati equations; control system synthesis; linear systems; robust control; uncertain systems; axisymmetric Spacecraft; generalized Riccati equation; linear robust controllers; linear uncertain system design; necessary and sufficient condition; norm-bounded uncertainties; quadratic boundedness condition; rotational motion control; unknown bounded disturbance torques; Control systems; Linear systems; Lyapunov method; Riccati equations; Robust control; Space vehicles; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876939
