Title :
Output feedback variable structure control for discrete-time linear systems with unmatched uncertainties
Author :
Yan, Min-xiu ; Jing, Yuan-Wei ; Zheng, Yan
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
Abstract :
The problem of output feedback variable control of discrete-time linear systems with unmatched uncertainties is studied in this paper. The output feedback control doesnpsilat need state available and estimated state. First, the sliding surface is designed by using linear matrix inequality (LMI) technique when there exists the unmatched uncertainties. The sufficient condition for the existence of stable sliding surface is derived in terms of LMIS. Then the design of sliding mode control is presented according to the reachability condition. Finally, an illustrative example is presented to show the feasibility and effectiveness of the proposed method.
Keywords :
control system synthesis; discrete time systems; feedback; linear matrix inequalities; linear systems; uncertain systems; variable structure systems; discrete-time linear systems; linear matrix inequality; output feedback variable structure control; reachability condition; sliding mode control design; stable sliding surface; sufficient condition; unmatched uncertainties; Control systems; Information science; Linear feedback control systems; Linear matrix inequalities; Linear systems; Machine learning; Output feedback; Sliding mode control; Sufficient conditions; Uncertainty; Discrete-time reaching law; Discrete-time variable structure control; Linear matrix inequality; Mismatched uncertainties; Output feedback;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620748
