Asymptotic rejection of unknown sinusoidal disturbances in non-linear dynamic systems with delay

Z. Ding, S. T. Liu

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The authors deal with asymptotic rejection of unknown disturbances in non-linear dynamic systems with delay. The disturbances are generated from an unknown linear exosystem whose order is known. The non-linear dynamic system contains non-linear terms in the system state variables with delay. There is no restriction on the non-linear functions, as long as they have continuous first-order derivatives. Here, a state feedback stabilisation control strategy is proposed for the system without the disturbances. An adaptive internal model is then designed and incorporated with the state feedback control design to asymptotically reject the unknown disturbances. A simulation example is included to demonstrate the proposed control design. © 2010 The Institution of Engineering and Technology.
    Original languageEnglish
    Pages (from-to)1039-1046
    Number of pages7
    JournalIET Control Theory and Applications
    Volume4
    Issue number6
    DOIs
    Publication statusPublished - 2010

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