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| Observer design and interval estimation of time-delay discrete-time linear systems with external disturbance and measurement noise |
| JunqiYang1,JianhaoXie1,FeiyangLiu1 |
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| (1 School of Electrical Engineering and Automation, Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment, Henan Polytechnic University, Jiaozuo 454003, Henan, China) |
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| 摘要: |
| For a class of time-delay discrete-time linear systems with external disturbance and measurement noise, the interval estimation
problems of state and measurement noise are investigated in this paper. First, the system state together with the time-delay
term and measurement noise is augmented as a new state, and a singular system is then constructed. Subsequently, a kind of
decoupling technique is employed to eliminate the effect of external disturbance, and an observer is designed to simultaneously
estimate the system state and measurement noise. Based on the estimated state and measurement noise, the interval estimations
of system state and measurement noise are obtained by reachability analysis technique. Finally, the effectiveness of the
proposed method is verified by a four-tank liquid level system. |
| 关键词: Interval estimation · Time-delay system · Observer design · Reachability analysis |
| DOI：https://doi.org/10.1007/s11768-023-00179-2 |
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| 基金项目:This work was supported in part by the National Nature Science Foundation of China (No. 61973105), the Natural Science Foundation of Henan Province (No. 232300420147) and the Fundamental Research Funds for the Universities of Henan Province (No. NSFRF180335). |
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| Observer design and interval estimation of time-delay discrete-time linear systems with external disturbance and measurement noise |
| Junqi Yang1,Jianhao Xie1,Feiyang Liu1 |
| (1 School of Electrical Engineering and Automation, Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment, Henan Polytechnic University, Jiaozuo 454003, Henan, China) |
| Abstract: |
| For a class of time-delay discrete-time linear systems with external disturbance and measurement noise, the interval estimation
problems of state and measurement noise are investigated in this paper. First, the system state together with the time-delay
term and measurement noise is augmented as a new state, and a singular system is then constructed. Subsequently, a kind of
decoupling technique is employed to eliminate the effect of external disturbance, and an observer is designed to simultaneously
estimate the system state and measurement noise. Based on the estimated state and measurement noise, the interval estimations
of system state and measurement noise are obtained by reachability analysis technique. Finally, the effectiveness of the
proposed method is verified by a four-tank liquid level system. |
| Key words: Interval estimation · Time-delay system · Observer design · Reachability analysis |
