화학공학소재연구정보센터
IEEE Transactions on Automatic Control, Vol.61, No.1, 234-239, 2016
Discrete-Time Positive Periodic Systems With State and Control Constraints
The aim of this technical note 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 system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.