Title :
H∞ model reduction of singularly perturbed control systems
Author :
Zhong, Ningfan ; Sun, Minhui ; Xue, Lin ; Zou, Yun
Author_Institution :
Shandong Univ. of Sci. & Technol., Qingdao, China
Abstract :
In this paper, the problem of Hinfin model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed Hinfin norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.
Keywords :
Hinfin control; matrix decomposition; reduced order systems; singularly perturbed systems; Hinfin model reduction; Hinfin norm bound constraint; associated model reduction error; singularly perturbed control system; slow-fast decomposition; time-scale property; Control system synthesis; Differential equations; Electronic mail; Error correction; Frequency; Linear matrix inequalities; Marine technology; Matrix decomposition; Oceans; Reduced order systems; H∞ model reduction; Singularly perturbed system; two-time-scale;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5191809
