Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1056-1066

Published online December 2, 2011

https://doi.org/10.1007/s12555-011-0605-5

© The International Journal of Control, Automation, and Systems

Applying Output Feedback Integral Sliding Mode Controller to Uncertain Time-Delay Systems with Mismatched Disturbances

Huan-Chan Ting, Jeang-Lin Chang, and Yon-Ping Chen

National Chiao-Tung University

Abstract

For time-delay systems with mismatched disturbances and uncertainties, this paper develops an integral sliding mode control algorithm using output information only to stabilize the systems. An integral sliding surface is comprised of output signals and an auxiliary full-order compensator. The proposed output feedback sliding mode controller can satisfy the reaching and sliding condition and maintain the system on the sliding surface from the initial moment. When two specific algebraic Riccati inequalities have solutions, our method can guarantee the stability of the closed-loop system and satisfy the property of robust disturbance attenuation. Moreover, the design parameters of controller and compensator can be simultaneously determined by solutions to the algebraic Riccati inequalities. Finally, two numerical examples illustrate the applicability of the proposed scheme.

Keywords Full-order compensator, mismatched disturbance, output feedback, sliding mode.

Article

Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1056-1066

Published online December 1, 2011 https://doi.org/10.1007/s12555-011-0605-5

Copyright © The International Journal of Control, Automation, and Systems.

Applying Output Feedback Integral Sliding Mode Controller to Uncertain Time-Delay Systems with Mismatched Disturbances

Huan-Chan Ting, Jeang-Lin Chang, and Yon-Ping Chen

National Chiao-Tung University

Abstract

For time-delay systems with mismatched disturbances and uncertainties, this paper develops an integral sliding mode control algorithm using output information only to stabilize the systems. An integral sliding surface is comprised of output signals and an auxiliary full-order compensator. The proposed output feedback sliding mode controller can satisfy the reaching and sliding condition and maintain the system on the sliding surface from the initial moment. When two specific algebraic Riccati inequalities have solutions, our method can guarantee the stability of the closed-loop system and satisfy the property of robust disturbance attenuation. Moreover, the design parameters of controller and compensator can be simultaneously determined by solutions to the algebraic Riccati inequalities. Finally, two numerical examples illustrate the applicability of the proposed scheme.

Keywords: Full-order compensator, mismatched disturbance, output feedback, sliding mode.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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