The <i>l</i><sub>1</sub> Filter for Discrete-Time Switched Singular Positive Systems With Time-Varying Delays

WANG Jinling; HOU Yuxiao; LI Qiang; XIE Baoying

doi:10.21656/1000-0887.430125

Volume 44 Issue 7

Jul. 2023

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WANG Jinling, HOU Yuxiao, LI Qiang, XIE Baoying. The l1 Filter for Discrete-Time Switched Singular Positive Systems With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2023, 44(7): 857-869. doi: 10.21656/1000-0887.430125

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WANG Jinling, HOU Yuxiao, LI Qiang, XIE Baoying. The l₁ Filter for Discrete-Time Switched Singular Positive Systems With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2023, 44(7): 857-869. doi: 10.21656/1000-0887.430125

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The l₁ Filter for Discrete-Time Switched Singular Positive Systems With Time-Varying Delays

doi: 10.21656/1000-0887.430125

School of Science, Anhui Agricultural University, Hefei 230036, P.R.China

Received Date: 2022-04-08
Rev Recd Date: 2022-06-17
Publish Date: 2023-07-01

Abstract

Abstract

The design problem of l₁ filters was studied for a class of discrete-time switched singular systems with positive constraints and time-varying delays. Through construction of an appropriate co-positive Lyapunov function and with the average dwell time technique, sufficient conditions in the form of linear programming were provided to ensure the corresponding filtering error system to be positive, regular, causal and exponentially stable. In addition, the effect of the exogenous disturbance input on the system performance was also analyzed and discussed. The sufficient conditions and design mechanisms for the corresponding filter to ensure that the filtering error system has the prescribed l₁ disturbance attenuation performance were also given. Finally, a simulation example was provided to verify the effectiveness and feasibility of the proposed method.
- time-varying delay,
- switched singular system,
- positive system,
- average dwell time,
- exponential stability,
- filter design

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References(32)

References

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