Computing impulsive equilibrium sets with respect to target zone for linear impulsive systems. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Louembet, Christophe; Gonzalez, Alejandro H.; Sanchez, Ignacio
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 6931
• Page End: 6936
• Publication Date: 2020
• Subjects: Impulsive control systems -- sets characterization -- target zone MPC; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.391
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.