𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local stabilization for linear discrete-time systems with bounded controls and norm-bounded time-varying uncertainty

✍ Scribed by Sophie Tarbouriech; Germain Garcia

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
139 KB
Volume
8
Category
Article
ISSN
1049-8923

No coin nor oath required. For personal study only.

✦ Synopsis

The problem of the local stabilization of linear discrete-time systems subject to bounded controls and suffering from uncertainty of the norm-bounded time-varying type is addressed. From the solution of a certain discrete Riccati equation, a control gain and a set of safe initial conditions are obtained. The asymptotic stability of the saturated closed-loop system is then locally guaranteed for all admissible uncertainties. It is also shown how the control problem can be translated into L.M.I. conditions. The connections between local stability results and disturbance rejection problem are investigated. In the presence of control saturation, it is thus shown that it is possible to reject a certain class of perturbations. Finally, a discretized model of the inverted pendulum allows us to illustrate the results.

πŸ“œ SIMILAR VOLUMES

Global stabilization of discrete-time li
Global stabilization of discrete-time linear systems with bounded inputs
✍ JosΓ© Alvarez-RamΓ­rez; Rodolfo SuΓ‘rez πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 364 KB πŸ‘ 1 views

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

Model reference adaptive control system
Model reference adaptive control system design for linear time-varying systems with unstructured and bounded varying functions
✍ Kouichi Hidaka; Hiromitsu Ohmori; Akira Sano πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 298 KB πŸ‘ 1 views

In recent years, many methods of model reference adaptive control system (MRACS) for a linear time-varying (LTV) plant have been proposed. These methods assumed that the structure of plant parameters is known in advance. However, it is difficult to get a priori information of plant parameters. In th