NDLI: A New Procedure of Time-Varying Switching Plane Design

Content Provider	IEEE Xplore Digital Library
Author	Nowacka, A. Bartoszewicz, A.
Copyright Year	2006
Description	Author affiliation: Inst. of Autom. Control, Tech. Univ. Lodz (Nowacka, A.; Bartoszewicz, A.)
Abstract	In this paper a new sliding mode control algorithm for the third order uncertain, nonlinear and time-varying dynamic system subject to acceleration constraints is proposed. The algorithm employs a time-varying switching plane. At the initial time t = $t_{0},$ the plane passes through the point determined by the system initial conditions in the error state space. Afterwards, the plane moves with a constant velocity to the origin of the space. In order to select the switching plane parameters, the integral of the absolute error (IAE) is minimised. Two types of the acceleration constraints are considered. First a conventional constraint expressed by an inequality is analysed, and then an elastic (or stretchable) constraint represented by a penalty function is taken into account. In the second case, we assume that the threshold value of the system acceleration is known and exceeding this value is undesirable, however possible if justified by essential improvement of the system performance. In both cases the switching plane is chosen in such a way that the reaching phase is eliminated, insensitivity of the system to the external disturbance and the model uncertainty is guaranteed from the very beginning of the proposed control action and fast, monotonic error convergence to zero is achieved
Starting Page	543
Ending Page	548
File Size	7036054
Page Count	6
File Format	PDF
ISBN	1424403901
ISSN	1553572X
DOI	10.1109/IECON.2006.347248
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-11-06
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sliding mode control Acceleration Control systems Time varying systems Automatic control Error correction Nonlinear dynamical systems State-space methods System performance Convergence
Content Type	Text
Resource Type	Article

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