NDLI: A Lyapunov approach to second-order sliding-mode boundary control of an unstable heat system with spatiotemporal-varying parameters under boundary disturbances

Content Provider	IEEE Xplore Digital Library
Author	Meng-Bi Cheng Wu-Chung Su Radisavljevic-Gajic, V. Ozguner, U.
Copyright Year	2014
Description	Author affiliation: Dept. of Electr. Eng., Nat. Chung Hsing Univ., Taichung, Taiwan (Wu-Chung Su) \|\| Dept. of Mech. Eng., Villanova Univ., Villanova, PA, USA (Radisavljevic-Gajic, V.) \|\| Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH, USA (Meng-Bi Cheng; Ozguner, U.)
Abstract	This paper considers a boundary stabilization problem of an unstable heat system incorporated with spatial and temporal varying coefficients subjected to boundary uncertainties. The system model is governed by a second-order parabolic partial differential equation (PDE). By taking the Volterra integral transformation, we can obtain a target PDE with asymptotic stability characteristics in the new coordinates when an appropriate backstepping boundary control input is applied. The implicated backsteeping control law can be further integrated into the matched boundary disturbance. The associated Lyapunov function can then be used for designing an in nite-dimensional sliding surface, on which the system exhibits exponential stability, invariant of the bounded matched disturbance. Based on the Lyapunov method, a second-order sliding-mode boundary control, constructed by the integration of discontinuous signal, is employed to maintain the robustness to matched boundary disturbance. The closed-loop stability of the controlled system is also verified. Simulation results are provided to demonstrate the feasibility of this proposed control scheme.
Starting Page	4530
Ending Page	4535
File Size	884326
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859019
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Heating Sliding mode control Mathematical model Backstepping Stability analysis Kernel Lyapunov methods sliding-mode control Boundary control distributed parameter systems partial differential equations
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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