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Volume 11 Issue 7
Jul.  2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2024  >  11(7): 1557-1565
J.-X. Zhang, K.-D. Xu, and  Q.-G. Wang,  “Prescribed performance tracking control of time-delay nonlinear systems with output constraints,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 7, pp. 1557–1565, Jul. 2024. doi: 10.1109/JAS.2023.123831
Citation: J.-X. Zhang, K.-D. Xu, and  Q.-G. Wang,  “Prescribed performance tracking control of time-delay nonlinear systems with output constraints,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 7, pp. 1557–1565, Jul. 2024. doi: 10.1109/JAS.2023.123831
shu

Prescribed Performance Tracking Control of Time-Delay Nonlinear Systems With Output Constraints

doi: 10.1109/JAS.2023.123831
Funds:  This work was supported in part by the National Natural Science Foundation of China (62103093), the National Key Research and Development Program of China (2022YFB3305905), the Xingliao Talent Program of Liaoning Province of China (XLYC2203130), the Fundamental Research Funds for the Central Universities of China (N2108003), the Natural Science Foundation of Liaoning Province (2023-MS-087), the BNU Talent Seed Fund, UIC Start-Up Fund (R72021115), the Guangdong Key Laboratory of AI and MM Data Processing (2020KSYS007), the Guangdong Provincial Key Laboratory IRADS for Data Science (2022B1212010006), and the Guangdong Higher Education Upgrading Plan 2021–2025 of “Rushing to the Top, Making Up Shortcomings and Strengthening Special Features” with UIC Research, China (R0400001-22, R0400025-21)
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    Abstract

  • The problem of prescribed performance tracking control for unknown time-delay nonlinear systems subject to output constraints is dealt with in this paper. In contrast with related works, only the most fundamental requirements, i.e., boundedness and the local Lipschitz condition, are assumed for the allowable time delays. Moreover, we focus on the case where the reference is unknown beforehand, which renders the standard prescribed performance control designs under output constraints infeasible. To conquer these challenges, a novel robust prescribed performance control approach is put forward in this paper. Herein, a reverse tuning function is skillfully constructed and automatically generates a performance envelop for the tracking error. In addition, a unified performance analysis framework based on proof by contradiction and the barrier function is established to reveal the inherent robustness of the control system against the time delays. It turns out that the system output tracks the reference with a preassigned settling time and good accuracy, without constraint violations. A comparative simulation on a two-stage chemical reactor is carried out to illustrate the above theoretical findings.

     

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    Highlights

    • The admissible time delays by our approach need only to be bounded and locally Lipschitz continuous, without additional requirements
    • It achieves reference tracking with preassigned performance and under output constraints, in the case where the reference is not known a priori
    • It exhibits a significant simplicity without estimation, adaption, identification, approximation, filtering, etc, despite unknown system dynamics

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