Obesity is a chronic disease that can lead to an increased risk of other
serious chronic diseases and even death. We present switching and time-delayed
feedback-based model free control methods for the dynamic management of body
mass and its major components. The estimation of body composition based on
human body weight dynamics is proposed using a soft switching-based observer.
Additionally, this paper addresses the control allocation problem for optimal
body weight management using linear algebraic equivalence of the nonlinear
controllers based on dynamic behavior of body composition described in
literature. A control allocator system computes the required energy intake and
energy expenditure from a controlling range of inputs to track a desired
trajectory of body mass by optimizing a weighted quadratic function. Simulation
results validate the performance of the proposed controllers and the observer
under disturbances in recording energy intake and energy expenditure figures.Comment: Accepted for publication in Transactions of the Institute of
Measurement and Contro