A novel approach to the computation of polyhedral invariant sets for constrained systems
2016 IEEE Conference on Computer Aided Control System Design (CACSD)（2016）
摘要
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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关键词
polyhedral invariant sets,constrained discrete-time certain linear systems,constrained discrete-time uncertain linear systems,auxiliary constant state feedback laws,distinct closed loop eigenvalues,stable closed loop eigenvalues,real-valued closed loop eigenvalues,linear programming
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