VARIABLE-STRUCTURE CONTROL DESIGN FOR UNCERTAIN DISCRETE-TIME-SYSTEMS

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Title:	VARIABLE-STRUCTURE CONTROL DESIGN FOR UNCERTAIN DISCRETE-TIME-SYSTEMS
Authors:	WANG,WJ;WU,GH;YANG,DC
Contributors:	電機工程研究所
Keywords:	SLIDING MODE CONTROL
Date:	1994
Issue Date:	2010-06-29 20:24:41 (UTC+8)
Publisher:	中央大學
Abstract:	The main differences between the designs of discrete-time variable structure systems (VSS) and continuous-time VSS are the determination of the switching hyperplane and the satisfaction of the hitting/sliding condition. These differences yield many difficulties in the design of sliding mode control for the discrete-time VSS. This note tries to overcome these difficulties and design a simple sliding mode control for a single input discrete-time VSS such that not only the discrete-time uncertain system is stabilized robustly, but also the chattering along the sliding mode is reduced explicitly. Instead of the conventional switching hyperplane, in the discrete-time case a ''switching region,'' which includes the hyperplane S-0 and its neighborhood, is determined and used. The determination of the switching region is to locate the equilibrium point of the nominal subsystem on each hyperplane S-rho outside the switching region such that the state motions inside and outside the switching region will occur alternately until the state of the closed-loop system reaches the origin. Moreover, we prove that the robustness property is retained whenever the uncertainty satisfies a standard matching condition.
Relation:	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Appears in Collections:	[Graduate Institute of Electrical Engineering] journal & Dissertation

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