NDLI: Robust sliding mode control for a class of uncertain hybrid linear systems with Markovian jump parameter

Content Provider	IEEE Xplore Digital Library
Author	He Youguo Zhao Lei Yan Minxiu
Copyright Year	2010
Description	Author affiliation: College of Information Engineering, Shenyang Institute of Chemical Technology, 110042, China (Yan Minxiu) \|\| Department of Electric Detection, Shenyang Artillery Academy, 110044, China (Zhao Lei) \|\| Faculty of Information Engineering, Shenyang University, 110044, China (He Youguo)
Abstract	The robust sliding mode control problem of a class of uncertain hybrid linear systems with Markovian jump parameter is considered. Under the assumptions of unknown upper bounds matched system uncertainties and known upper bounds mismatched system uncertainties, the sufficient conditions are proposed to guarantee the mean exponentially stability of reduced-order sliding mode system. Under the conditions of two kinds of system uncertainties, adaptive robust sliding mode control law and general robust sliding mode control law are proposed. The control methods guarantees that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of linear matrix inequalities(LMIs) have solution. Latsly a simulation is given to illustrate the effectiveness of the proposed approach.
File Size	874766
File Format	PDF
ISBN	9781424463671
e-ISBN	9781424463701
DOI	10.1109/ICETC.2010.5529398
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Uncertainty Adaptive systems Stability sliding mode control hybrid linear system Adaptive control Sliding mode control Robust control Sufficient conditions Programmable control Upper bound linear matrix inequalities(LMIs) Markovian jumping parameters
Content Type	Text
Resource Type	Article

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