Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances

YANG Anqing, MA Shuping

系统科学与复杂性(英文) ›› 2024, Vol. 37 ›› Issue (3) : 924-946.

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系统科学与复杂性(英文) ›› 2024, Vol. 37 ›› Issue (3) : 924-946. DOI: 10.1007/s11424-024-2253-x

Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances

    YANG Anqing1,2, MA Shuping2
作者信息 +

Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances

    YANG Anqing1,2, MA Shuping2
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文章历史 +

摘要

This work investigates the input-to-state stability (ISS) problem for impulsive switched singular systems (ISSSs) with mismatched disturbances. In this paper, ‘disturbance’ is a general concept that includes model uncertainty, unknown system dynamic, external disturbance, etc. The modified uncertainty and disturbance estimator (UDE)-based control method is presented for singular systems and ISSSs, a virtual control is introduced to offset the effects of mismatched disturbances. On the basis of a discontinuous multiple Lyapunov functional and admissible edge-dependent average dwell time (AED-ADT) method, several sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained to ensure that the closed-loop systems are regular, impulse-free and ISS. Finally, two examples are given to demonstrate the effectiveness of the proposed results.

Abstract

This work investigates the input-to-state stability (ISS) problem for impulsive switched singular systems (ISSSs) with mismatched disturbances. In this paper, ‘disturbance’ is a general concept that includes model uncertainty, unknown system dynamic, external disturbance, etc. The modified uncertainty and disturbance estimator (UDE)-based control method is presented for singular systems and ISSSs, a virtual control is introduced to offset the effects of mismatched disturbances. On the basis of a discontinuous multiple Lyapunov functional and admissible edge-dependent average dwell time (AED-ADT) method, several sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained to ensure that the closed-loop systems are regular, impulse-free and ISS. Finally, two examples are given to demonstrate the effectiveness of the proposed results.

关键词

Impulsive switched singular systems / input-to-state stability / UDE-based control

Key words

Impulsive switched singular systems / input-to-state stability / UDE-based control

引用本文

导出引用
YANG Anqing , MA Shuping. Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances. 系统科学与复杂性(英文), 2024, 37(3): 924-946 https://doi.org/10.1007/s11424-024-2253-x
YANG Anqing , MA Shuping. Input-to-State Stability for Impulsive Switched Singular Systems with Mismatched Disturbances. Journal of Systems Science and Complexity, 2024, 37(3): 924-946 https://doi.org/10.1007/s11424-024-2253-x

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基金

This research was supported by the National Natural Science Foundation of China under Grant No. 61977042 and the Foundation for Innovative Research Groups of National Natural Science Foundation of China under Grant No. 61821004.
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