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| Robustness analysis and distributed control of a networked system with time-varying delays |
| ZhikeWANG,TongZHOU |
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| (1.Department of Automation, Tsinghua University, Beijing 100084, China;
2.School of Aviation Operations and Services, University of Air Force Aviation, Changchun Jilin 130022, China) |
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| 摘要: |
| This paper is concerned with the robustness analysis and distributed output feedback control of a networked system with uncertain time-varying communication delays. This system consists of a collection of linear time-invariant subsystems that are spatially interconnected via an arbitrary directed network. Using a dissipation inequality that incorporates dynamic hard IQCs (integral quadratic constraints) for the delay uncertainties, we derive some sufficient robustness conditions in the form of coupled linear matrix inequalities, in which the coupled parts reflect the interconnection structure of the system. We then provide a procedure to construct a distributed controller to ensure the robust stability of the closed-loop system and to achieve a prescribed $\ell_2$-gain performance. The effectiveness of the proposed approach is demonstrated by some numerical examples. |
| 关键词: Networked system, time delay, integral quadratic constraints (IQCs), robust stability, distributed control |
| DOI：https://doi.org/10.1007/s11768-020-9109-2 |
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| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 61573209, 61733008). |
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| Robustness analysis and distributed control of a networked system with time-varying delays |
| Zhike WANG,Tong ZHOU |
| (1.Department of Automation, Tsinghua University, Beijing 100084, China;
2.School of Aviation Operations and Services, University of Air Force Aviation, Changchun Jilin 130022, China) |
| Abstract: |
| This paper is concerned with the robustness analysis and distributed output feedback control of a networked system with uncertain time-varying communication delays. This system consists of a collection of linear time-invariant subsystems that are spatially interconnected via an arbitrary directed network. Using a dissipation inequality that incorporates dynamic hard IQCs (integral quadratic constraints) for the delay uncertainties, we derive some sufficient robustness conditions in the form of coupled linear matrix inequalities, in which the coupled parts reflect the interconnection structure of the system. We then provide a procedure to construct a distributed controller to ensure the robust stability of the closed-loop system and to achieve a prescribed $\ell_2$-gain performance. The effectiveness of the proposed approach is demonstrated by some numerical examples. |
| Key words: Networked system, time delay, integral quadratic constraints (IQCs), robust stability, distributed control |
