Title :
On the Design Approach of Robust Sliding mode Observers by Using LMI
Author :
Shen, Zhongyu ; Zhao, Jin ; Gu, Xingsheng
Author_Institution :
Nanjing Normal Univ., Nanjing
Abstract :
This paper discusses the designing approach of the sliding mode observers. Based on Edwards´s sliding mode observer, a robust sliding mode observer is presented, and the singular value decomposition technology endows the canonical process with simplicity. Then the linear feedback gain and the nonlinear feedback gain of the robust sliding mode observer are synthetically processed by Linear Matrix Inequalities (LMIs), and the nonlinear discontinuous injection is designed to modulate the convergence rate between the observer and the system, so as to attain the desired performances of the state estimation. At last, a numerical example is presented to illustrate the proposed method.
Keywords :
control system synthesis; feedback; linear matrix inequalities; linear systems; nonlinear control systems; observers; robust control; singular value decomposition; variable structure systems; linear feedback gain; linear matrix inequality; nonlinear discontinuous injection; nonlinear feedback gain; robust sliding mode observer design approach; singular value decomposition technology; Design automation; Design engineering; Linear matrix inequalities; Nonlinear dynamical systems; Observers; Performance gain; Robustness; Singular value decomposition; State feedback; Uncertainty; LMIs; observers; sliding mode;
Conference_Titel :
Automation and Logistics, 2007 IEEE International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-1531-1
DOI :
10.1109/ICAL.2007.4338790