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oai:uvadoc.uva.es:10324/739342025-02-24T13:32:03Zcom_10324_1168com_10324_931com_10324_894col_10324_1302

Iben Ammar, Imen Gassara, Hamdi El Hajjaji, Ahmed Tadeo Rico, Fernando Juan Chaabane, Mohamed 2025-01-16T10:33:28Z 2025-01-16T10:33:28Z 2019 Optimal Control Applications and Methods, 2019, vol. 41, n. 1, p. 278-291. 0143-2087 https://uvadoc.uva.es/handle/10324/73934 10.1002/oca.2542 278 1 291 Optimal Control Applications and Methods 41 1099-1514 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. eng info:eu-repo/semantics/restrictedAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Los autores Attribution-NonCommercial-NoDerivatives 4.0 Internacional Ingeniería de Control Observer‐based controller for positive polynomial systems with time delay info:eu-repo/semantics/article