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Per-Olof Gutman Publications

A novel approach to the computation of polyhedral invariant sets for constrained systems

25 January, 2017


AU: Sheer, S., & Gutman, P. O. 

SO: Computer Aided Control System Design (CACSD), 2016 IEEE Conference on (pp. 1428-1433). IEEE


This paper presents two algorithms for the computation of polyhedral positively invariant sets for constrained discrete-time certain and uncertain linear systems, extended from [11]. The approach is based on the novel use of auxiliary constant state feedback laws that give distinct, stable, real-valued closed loop eigenvalues. The algorithms are simple and non-iterative, and include only linear programming (LP). Illustrative examples show the benefits of the new approach