Title :
The guaranteed cost control for discrete-time singularly perturbed systems
Author :
Cai, Chenxiao ; Wu, Hanmei ; Zou, Yun
Author_Institution :
Inst. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing
Abstract :
This paper deals with the problem of state feedback guaranteed cost control for discrete-time singularly perturbed systems. We provide the necessary and sufficient condition for the guaranteed cost of the discrete singularly perturbed system and obtain suitable state feedback control law and upper bound of parameter epsiv by linear matrix inequality method. The proposed results can be applied to slow and fast sampling singularly perturbed models.
Keywords :
costing; discrete time systems; linear matrix inequalities; robust control; singularly perturbed systems; state feedback; discrete-time singularly perturbed system; linear matrix inequality method; robust control; stability; state feedback guaranteed cost control; Control system synthesis; Control systems; Costs; Linear matrix inequalities; Riccati equations; Robust stability; Sampling methods; State feedback; Sufficient conditions; Upper bound; guarannnteed cost control; linear matrix inequality(LMI) method; singularly perturbed system;
Conference_Titel :
Systems and Control in Aerospace and Astronautics, 2008. ISSCAA 2008. 2nd International Symposium on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4244-3908-9
Electronic_ISBN :
978-1-4244-2386-6
DOI :
10.1109/ISSCAA.2008.4776307