Outlier-resistant bserver-based H∞ PID control under stochastic communication protocol

Haijing Fu, Jiahui Li, Fei Han, Nan Hou and Hongli Dong

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: This paper addresses the H∞ proportional-integral-derivative control problem based on the outlier-resistant observer for discrete-time systems under the schedule of stochastic communication protocol (SCP). A novel observer with saturation constraint is structured in order to reduce the negative influence of abnormal measurement outputs, where the saturation limit is dynamically adjusted in the light of the observation errors. For the sake of avoiding the phenomenon of data congestion, the SCP is deployed to orchestrate the order of data transmission in the sensor-to-observer channel. In view of the Lyapunov stability theory and the orthogonal decomposition method, sufficient conditions are obtained to make sure that the exponential mean-square stability is met and the H∞ performance index is satisfied. Eventually, a simulation example is provided to confirm the effectiveness and correctness of the presented controller design algorithm.

Keywords: PID control; H∞ control; measurement outliers; stochastic communication protocol; orthogonal decomposition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006184

DOI: 10.1016/j.amc.2021.126535

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