Title :
A new robust stabilization method for a class of uncertain time delay systems
Author :
Li, Xiaoqiu ; Decarlo, R.A.
Author_Institution :
Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
A robust feedback control design method is proposed for a class of uncertain time delay systems. Linear transformation is applied to convert the systems to new systems whose spectra embed all the unstable poles of the original systems for given stability margin. A feedback control is then designed based on the new systems and reflected back to the original systems. It is proved that the designed control can asymptotically stabilize both the new and the original systems provided a set of sufficient conditions are satisfied.
Keywords :
asymptotic stability; control system synthesis; delay systems; feedback; linear matrix inequalities; robust control; time-varying systems; uncertain systems; asymptotically stabilize; feedback control; linear transformation; robust feedback control design method; robust stabilization method; sufficient conditions; uncertain time delay systems; unstable poles; Control systems; Delay effects; Delay systems; Feedback control; Riccati equations; Robust control; Robustness; Stability; Sufficient conditions; Uncertainty;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1238927