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Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states

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2 Author(s)
Gutman, P.-O. ; Israel Electro Optics Industries, Rehovot, Israel ; Cwikel, M.

For linear discrete-time dynamical systems, necessary and sufficient conditions are given for a control sequence belonging to a polyhedral constraint set, to stabilize the system under the condition that the state is restricted to a polyhedral state constraint set. A variable structure linear state feedback controller, given in terms of the controls at the vertices of the polyhedral state constraint set, is presented.

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Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 4 )