English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For centuries, soaring birds -- such as albatrosses and eagles -- have beenmysterious and intriguing for biologists, physicists, aeronautical/controlengineers, and applied mathematicians. These fascinating biological organismshave the ability to fly for long-duration while spending little to no energy.This flight technique/maneuver is called dynamic soaring (DS). For biologistsand physicists, the DS phenomenon is nothing but a wonder of the very elegantability of the bird's interaction with nature and using its physical ether inan optimal way for better survival and energy efficiency. For the engineeringcommunity, it is a source of inspiration and an unequivocal promising chancefor bio-mimicking. In literature, significant work has been done on modelingand constructing control systems that allow the DS maneuver to be mimicked.However, mathematical characterization of the DS phenomenon in literature hasbeen limited to optimal control configurations that utilized developments innumerical optimization algorithms along with control methods to identify theoptimal DS trajectory taken (or to be taken) by the bird/mimicking system. Inthis paper, we provide a novel two-layered mathematical approach tocharacterize, model, mimic, and control DS in a simple and real-timeimplementation. The first layer will be a differential geometric controlformulation and analysis of the DS problem. The second layer will be a linkagebetween the DS philosophy and a class of dynamical control systems known asextremum seeking systems. We believe our framework captures more of thebiological behavior of soaring birds and opens the door for geometric controltheory and extremum seeking systems to be utilized in systems biology andnatural phenomena. Simulation results are provided along with comparisons withpowerful optimal control solvers to illustrate the advantages of the introducedmethod.

Analyzing and Mimicking the Optimized Flight Physics of Soaring Birds: A  Differential Geometric Control and Extremum Seeking System Approach with Real  Time Implementation