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

Abstract

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.

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Cite this paper

@article{Sheer2016ANA, title={A novel approach to the computation of polyhedral invariant sets for constrained systems}, author={Sagi Sheer and Per-Olof Gutman}, journal={2016 IEEE Conference on Computer Aided Control System Design (CACSD)}, year={2016}, pages={1428-1433} }