A proposed approach to control of noise and chaos in dynamic systems would supplement conventional methods. The approach is based on fictitious forces composed of expectations governed by Fokker-Planck or Liouville equations that describe the evolution of the probability densities of the controlled parameters. These forces would be utilized as feedback control forces that would suppress the undesired diffusion of the controlled parameters. Examples of dynamic systems in which the approach is expected to prove beneficial include spacecraft, electronic systems, and coupled lasers.

This work was done by Michail Zak of Caltech for NASA's Jet Propulsion Laboratory.

NPO-41792



This Brief includes a Technical Support Package (TSP).
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Expectation-Based Control of Noise and Chaos

(reference NPO-41792) is currently available for download from the TSP library.

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NASA Tech Briefs Magazine

This article first appeared in the November, 2006 issue of NASA Tech Briefs Magazine (Vol. 30 No. 11).

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Overview

The document is a Technical Support Package from NASA's Jet Propulsion Laboratory (JPL) concerning the innovation titled "Expectation-Based Control of Noise and Chaos," identified by NTR Number 41792. This technology is part of NASA's efforts to disseminate aerospace-related developments that have broader technological, scientific, or commercial applications.

The primary focus of the document is on expectation-based intelligent control, a method that aims to manage and mitigate noise and chaotic behavior in various systems. This approach is detailed in a referenced publication by Michail Zak, which appeared in the journal "Chaos, Solitons & Fractals" in May 2006. The concept revolves around using expectations to predict and control system behavior, which can be particularly beneficial in complex environments where traditional control methods may struggle.

The Technical Support Package emphasizes the importance of this innovation within the context of aerospace applications, suggesting that it could lead to advancements in various fields by improving system stability and performance. The document also highlights the potential for wider applications beyond aerospace, indicating that the principles of expectation-based control could be relevant in other scientific and engineering domains.

Additionally, the document provides information on how to access further resources and assistance through NASA's Innovative Partnerships Program and the NASA Scientific and Technical Information (STI) Program Office. It includes contact details for the STI Help Desk, which can provide additional support and information regarding research and technology in this area.

The document carries a notice that it was prepared under the sponsorship of NASA and clarifies that the U.S. Government does not assume liability for the use of the information contained within it. It also states that any mention of trade names or manufacturers is for identification purposes only and does not imply official endorsement by NASA.

In summary, this Technical Support Package serves as a comprehensive overview of the expectation-based control technology, its potential applications, and the resources available for further exploration of this innovative approach to managing noise and chaos in complex systems.