TY - JOUR
T1 - Adaptive Asymptotic Tracking for a Class of Uncertain Switched Positive Compartmental Models with Application to Anesthesia
AU - Lv, Maolong
AU - De Schutter, Bart
AU - Yu, Wenwu
AU - Baldi, Simone
N1 - Accepted Author Manuscript
PY - 2021
Y1 - 2021
N2 - This article addresses and solves the adaptive asymptotic tracking for a class of uncertain switched positive linear dynamics (also known in the literature as compartmental models) subject to dwell-time constraints. Compared to the state-of-the-art, the innovative feature of this method is to attain for the first time asymptotic set-point tracking, while guaranteeing non-negativity of the systems states. To achieve asymptotic tracking, an interpolated Lyapunov function is adopted, which is nonincreasing at the switching instants and decreasing in two consecutive switching instants. Such Lyapunov function results in a novel adaptive law with time-varying adaptive gains, as opposed to state-of-the-art laws with fixed positive adaptive gains. The developed design is applicable to classes of compartmental systems compatible with those proposed in the literature: an example involving the infusion of anesthesia is conducted to show that the proposed method can achieve better performance than existing methods.
AB - This article addresses and solves the adaptive asymptotic tracking for a class of uncertain switched positive linear dynamics (also known in the literature as compartmental models) subject to dwell-time constraints. Compared to the state-of-the-art, the innovative feature of this method is to attain for the first time asymptotic set-point tracking, while guaranteeing non-negativity of the systems states. To achieve asymptotic tracking, an interpolated Lyapunov function is adopted, which is nonincreasing at the switching instants and decreasing in two consecutive switching instants. Such Lyapunov function results in a novel adaptive law with time-varying adaptive gains, as opposed to state-of-the-art laws with fixed positive adaptive gains. The developed design is applicable to classes of compartmental systems compatible with those proposed in the literature: an example involving the infusion of anesthesia is conducted to show that the proposed method can achieve better performance than existing methods.
KW - Adaptive asymptotic control
KW - compartmental systems
KW - dwell time
KW - switched positive linear dynamics
UR - http://www.scopus.com/inward/record.url?scp=85088920497&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2019.2945590
DO - 10.1109/TSMC.2019.2945590
M3 - Article
AN - SCOPUS:85088920497
SN - 2168-2216
VL - 51
SP - 4936
EP - 4942
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 8
ER -