Title :
State feedback robust dissipative control for singular systems with affine uncertainty
Author :
Liu, Li-ping ; Dong, Xin-zhuang ; Wang, Wa-nv
Author_Institution :
Coll. of Autom. & Eng., Qingdao Univ., Qingdao, China
Abstract :
This paper mainly deals with the problem of state feedback robust dissipative control for singular systems with affine uncertainty. Firstly, a new description of the system uncertainty is obtained by converting it properly, based on which, the existence condition and explicit expression of a state feedback robust dissipative controller are derived by means of linear matrix inequalities (LMIs). However, the above condition may lead to great conservative result because it uses a single Lyapunov function matrix and includes no known information of the derivation of the uncertain parameters. Therefore, by using parameter-dependent Lyapunov function, the existence condition of a gain scheduling controller with less conservation is presented and the corresponding controller is constructed by using the solution of LMIs. Finally, the two conditions are analyzed and compared, and a numerical example is given to illustrate the effectiveness of the proposed conditions.
Keywords :
robust control; state feedback; uncertain systems; Lyapunov function matrix; affine uncertainty; gain scheduling controller; linear matrix inequalities; parameter-dependent Lyapunov function; singular system; state feedback robust dissipative controller; system uncertainty; Intelligent systems; Robustness; State feedback; Symmetric matrices; Uncertainty; Vectors;
Conference_Titel :
Cybernetics and Intelligent Systems (CIS), 2011 IEEE 5th International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-61284-199-1
DOI :
10.1109/ICCIS.2011.6070309