Discrete-Time Positive Periodic Systems With State and Control Constraints

Mustapha Ait Rami, Diego Napp
2016 IEEE Transactions on Automatic Control  
Resumo-The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop
more » ... of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.
doi:10.1109/tac.2015.2438428 fatcat:jzl6eun4vfb3phsj3h4oarocum