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

GONZALEZ, ALEJANDRO; SÁNCHEZ, IGNACIO JULIÁN RODOLFO; LOUEMBET, CHRISTOPHE

Berlin

Congreso; 21st IFAC World Congress; 2020

IFAC

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.