Computing impulsive equilibrium sets with respect to target zone for linear impulsive systems

LOUEMBET, CHRISTOPHE; GONZALEZ, ALEJANDRO H.; SANCHEZ, IGNACIO

IFAC-PapersOnLine

Elsevier B.V.

Año: 2020 vol. 53 p. 6931 - 6936

Linear impulsive control systems are convenient to formulate a venue of real-life problems, from diseases treatment to aerospace guidance. To take into account that the origin is the only formal equilibrium of such systems while usual control objective consist in stabilizing a desired target region that exclude it, a different concept of equilibrium - which includes periodic/orbital trajectories - has been defined. This work presents a new characterization of the equilibrium sets respecting this target region for linear impulsive systems. Based on the Lucasz-Markov theorem a tractable and non conservative description is obtained. Furthermore, to assess this description, the constrained equilibrium set is explicitly used in the formulation of a model-based controller.