ILC-based minimum entropy filter design and implementation for non-Gaussian stochastic systems

Puya Afshar, Fuwen Yang, Hong Wang

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    Abstract

    A new filtering approach based on the idea of iterative learning control (ILC) is proposed for linear and non-Gaussian stochastic systems. The objective of filtering is to estimate the states of linear systems with non-Gaussian random disturbances so that the entropy of output error is made to monotonically decrease along the progress of batches of process operation. The term Batch is referred to a period of time when the process repeats itself. During a batch, the filter gain is kept fixed and state estimation is performed. Between any two adjacent batches, the filter gain is updated so that the entropy of closed-loop output error is reduced for the next batch. Analysis is carried out to explicitly determine the learning rates which lead to convergence of the overall algorithm. Experiments have been implemented on a laboratory-based process test rig to demonstrate the effectiveness of proposed filtering method. © 2011 IEEE.
    Original languageEnglish
    Article number5937026
    Pages (from-to)960-970
    Number of pages10
    JournalIEEE Transactions on Control Systems Technology
    Volume20
    Issue number4
    DOIs
    Publication statusPublished - 2012

    Keywords

    • Iterative learning control (ILC)
    • minimum entropy filtering
    • non-Gaussian linear systems
    • process control rig

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