Feedback and positive feedback holdability of discrete-time systems.

• Autorzy: Rumchev VG.
• Języki publikacji: EN

Abstrakty

EN

We consider the following problems. Given a discrete-time linear system, find, if possible, linear state-feedback control laws such that the corresponding closed-loop system trajectory is positive whenever the initial state is positive. This problem is called the feedback holdability problem. If, in addition, the requirement of non-negativity is imposed on controls, the problem is a positive feedback holdability problem. In the paper, necessary and sufficient conditions for feedback and positive feedback holdability are established in a form of systems of linear inequalities and a procedure for computing the set of all state-feedback controllers that make the closed-loop system holdable is proposed. The relation between controllability and holdability is also treated. Feedback and positive feedback holdability of the class of positive systems is considered as well.

Słowa kluczowe

EN

positive feedback holdability; discrete-time linear systems; linear state-feedback control laws; necessary and sufficient conditions; linear inequalities

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2000
• Tom: Vol. 26, nr 3
• Strony: 15--23
• Opis fizyczny: Bibliogr. 4 poz.,

Twórcy

autor

Rumchev VG.

• Sch. of Appl. Sci., Curtin Univ. of Technol., Perth, WA, Australia.