RT info:eu-repo/semantics/article
T1 Observer‐based controller for positive polynomial systems with time delay
A1 Iben Ammar, Imen
A1 Gassara, Hamdi
A1 El Hajjaji, Ahmed
A1 Tadeo, Fernando
A1 Chaabane, Mohamed
K1 Ingeniería de Control
K1 Optimization
K1 Optimización
K1 Control Systems
K1 Observers
K1 Control Engineering
K1 Ingeniería de Control
AB This paper deals with some synthesis problems for a class of positive polynomial systems with time delay, for which the state vector takes nonnegative values whenever the initial conditions are nonnegative. First, the synthesis of state feedback controllers is solved using a Lyapunov-Krasovskii approach, including the requirement of positiveness. In a second part, observers are included. In both cases, the design conditions are presented in terms of sum of squares, which can be numerically and symbolically solved via SOSTOOLS and a semidefinite program solver. Finally, four numerical examples are given to illustrate the proposed approach.
PB John Wiley & Sons
SN 0143-2087
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/73934
UL https://uvadoc.uva.es/handle/10324/73934
LA eng
NO Optimal Control Applications and Methods, 41(1), 278-291.
NO Producción Científica
DS UVaDOC
RD 22-ene-2025