An invariant-set approach for constraining gas exchange dynamics during cycling. Issue 24 (2018)

• Record Type: Journal Article
• Authors: Rosero, Nadia; Martinez, John J.
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 24(2018)
• Page Start: 515
• Page End: 520
• Publication Date: 2018
• Subjects: invariant-sets -- physiological model -- human efficiency -- gas exchange -- cycling; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.09.625
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper proposes a method for finding the maximal mechanical power, that can be developed for a cyclist without excess of carbon dioxide production. The method is based on a recently proposed discrete-time linear parameter-varying model of gas exchange dynamics. In addition, the problem is solved by using an ellipsoidal invariant set which characterizes all possible trajectories of the system state in presence of a bounded pedal power. The latter allows us to tackle the problem as a geometrical optimization problem involving an inequality constraint. The numerical example concerns two scenarios, which cover moderate and high intensity exercises.