Open AccessSliding mode control for polynomial fuzzy singular systems with time delay
Author(s) -
Pang Bo,
Zhang Qingling
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.1227
Subject(s) - control theory (sociology) , polynomial , fuzzy logic , surface (topology) , sliding mode control , stability (learning theory) , mathematics , mode (computer interface) , fuzzy control system , property (philosophy) , function (biology) , computer science , control (management) , nonlinear system , mathematical analysis , artificial intelligence , physics , geometry , quantum mechanics , operating system , philosophy , epistemology , machine learning , evolutionary biology , biology
In this study, problems of sliding mode control (SMC) for polynomial fuzzy singular systems with time delay are concerned. A sliding surface function is constructed as integral type and the resultant system which is restricted to the sliding surface is analysed. In terms of sum‐of‐squares approach, stability criterions are derived, which lead to stability with H 2disturbance rejection level property. Then, the SMC law is proposed, which can confine the state trajectories to the sliding surface. Finally, an example is performed to verify the feasibility and merits of the theoretical findings.