IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v129y2006i1d10.1007_s10957-006-9050-7.html
   My bibliography  Save this article

Signal Decoupling with Preview in the Geometric Context: Exact Solution for Nonminimum-Phase Systems

Author

Listed:
  • G. Marro

    (University of Bologna)

  • E. Zattoni

    (University of Bologna)

Abstract

The problem of making the output of a discrete-time linear system totally insensitive to an exogenous input signal known with preview is tackled in the geometric approach context. A necessary and sufficient condition for exact decoupling with stability in the presence of finite preview is introduced, where the structural aspects and the stabilizability aspects are considered separately. On the assumption that structural decoupling is feasible, internal stabilizability of the minimal self-bounded controlled invariant satisfying the structural constraint $$\mathcal{V}_m$$ guarantees the stability of the dynamic feedforward compensator. However, if the structural decoupling is feasible, but $$\mathcal{V}_m$$ is not internally stabilizable, exact decoupling is nonetheless achievable with a stable feedforward compensator on the sole assumption that $$\mathcal{V}_m$$ has no unassignable internal eigenvalues on the unit circle, provided that the signal to be rejected is known with infinite preview. An algorithmic framework based on steering-along-zeros techniques, completely devised in the time domain, shows how to compute the convolution profile of the feedforward compensator in each case.

Suggested Citation

  • G. Marro & E. Zattoni, 2006. "Signal Decoupling with Preview in the Geometric Context: Exact Solution for Nonminimum-Phase Systems," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 165-183, April.
    • Handle: RePEc:spr:joptap:v:129:y:2006:i:1:d:10.1007_s10957-006-9050-7
    DOI: 10.1007/s10957-006-9050-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-006-9050-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-006-9050-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. G. Marro & E. Zattoni, 2005. "Self-Bounded Controlled Invariant Subspaces in Model Following by Output Feedback: Minimal-Order Solution for Nonminimum-Phase Systems," Journal of Optimization Theory and Applications, Springer, vol. 125(2), pages 409-429, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nozari, Hasan Abbasi & Rostami, Seyed Jalil Sadati & Castaldi, Paolo, 2024. "Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:129:y:2006:i:1:d:10.1007_s10957-006-9050-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.