Title :
Chattering-free grey sliding mode control for discrete time-delay systems with unmatched uncertainty
Author :
Li, Jianning ; Zhang, Yibo ; Pan, Haipeng
Author_Institution :
Inst. of Autom., Zhejiang Sci-Tech Univ., Hangzhou, China
Abstract :
According to a class of discrete time-delay systems with unmatched uncertainties and disturbance, a new chattering free least squares support vector machine grey sliding mode control (LS-SVM-GSMC) law based on Linear Matrix Inequality (LMI) is presented. Estimated value of external disturbance is obtained by grey model, and output of LS-SVM is used for replacing sign function of the reaching law in grey sliding mode control (GSMC). The feasibility and effectiveness of the LS-SVM-GSMC scheme are demonstrated via numerical examples. As a result, by adopting LS-SVM-GSMC, chattering which is caused by grey reaching law is eliminated, and effect of unmatched disturbance is reduced.
Keywords :
delays; discrete time systems; grey systems; linear matrix inequalities; support vector machines; variable structure systems; chattering-free grey sliding mode control; discrete time-delay systems; grey model; linear matrix inequality; support vector machine; unmatched disturbance; unmatched uncertainty; Control systems; Delay effects; Intelligent systems; Knowledge engineering; Linear matrix inequalities; Robust control; Sliding mode control; Stability analysis; Support vector machines; Uncertainty;
Conference_Titel :
Intelligent System and Knowledge Engineering, 2008. ISKE 2008. 3rd International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-2196-1
Electronic_ISBN :
978-1-4244-2197-8
DOI :
10.1109/ISKE.2008.4731072