In this paper we present a technique to stabilize discrete-time linear systems with bounded inputs. Based on optimal control techniques, we construct a continuous bounded state feedback which leads to global asymptotic stabilization for the case where the open-loop system has all its eigenvalues wit
Semi-global stabilization of discrete-time systems with bounded inputs using a periodic controller
✍ Scribed by Joaquı́n Collado; Rogelio Lozano; Amit Ailon
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0167-6911
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✦ Synopsis
We show that semi-global stabilization is achieved for linear discrete-time systems with bounded controls. The proposed scheme is a linear periodic controller and is applicable to systems having open-loop eigenvalues in the closed unit disc.
📜 SIMILAR VOLUMES
This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabi
## a b s t r a c t State-feedback model predictive control (MPC) of discrete-time linear periodic systems with timedependent state and input dimensions is considered. The states and inputs are subject to periodically time-dependent, hard, convex, polyhedral constraints. First, periodic controlled