Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(12): 3850-3859

https://doi.org/10.1007/s12555-022-0425-9

© The International Journal of Control, Automation, and Systems

Adaptive Variable Structure Controller Design for Uncertain Switched Systems With Unknown Time-varying Delay

Zhongzheng Liu, Zhen Liu*, Baoping Jiang, and Cunchen Gao

Qingdao University

Abstract

In this paper, an innovative sliding mode framework is used to propose an observer-based adaptive control scheme for uncertain switched systems with unknown time-varying delay. First, a state observer with no input information is built incorporating a new sliding manifold (SM) to rebuild the unmeasured state variables, which does not rely on accurate information of the time-delay. By picking a suitable Lyapunov function, using the average dwell time (ADT) approach and linear matrix inequality (LMI) tool, a novel stability criterion for the resultant sliding motion is devised. In addition, to meet the defined SM’s arrival condition, a new adaptive variable structure controller is constructed. Finally, two illustrative examples are given to demonstrate the efficacy of the control method.

Keywords Average dwell time, sliding mode control, uncertain switched systems, unknown time-varying delay.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(12): 3850-3859

Published online December 1, 2023 https://doi.org/10.1007/s12555-022-0425-9

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

Adaptive Variable Structure Controller Design for Uncertain Switched Systems With Unknown Time-varying Delay

Zhongzheng Liu, Zhen Liu*, Baoping Jiang, and Cunchen Gao

Qingdao University

Abstract

In this paper, an innovative sliding mode framework is used to propose an observer-based adaptive control scheme for uncertain switched systems with unknown time-varying delay. First, a state observer with no input information is built incorporating a new sliding manifold (SM) to rebuild the unmeasured state variables, which does not rely on accurate information of the time-delay. By picking a suitable Lyapunov function, using the average dwell time (ADT) approach and linear matrix inequality (LMI) tool, a novel stability criterion for the resultant sliding motion is devised. In addition, to meet the defined SM’s arrival condition, a new adaptive variable structure controller is constructed. Finally, two illustrative examples are given to demonstrate the efficacy of the control method.

Keywords: Average dwell time, sliding mode control, uncertain switched systems, unknown time-varying delay.

IJCAS
February 2024

Vol. 22, No. 2, pp. 347~729

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