𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On lp-stabilization of strictly unstable discrete-time linear systems with saturating actuators

✍ Scribed by Ping Hou; Ali Saberi; Zongli Lin

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

No coin nor oath required. For personal study only.

✦ Synopsis

For a continuous-time linear system with saturating actuators, it is known that, irrespective of the locations of the open-loop poles, both global and semi-global finite gain ¸N-stabilization are achievable, by nonlinear and linear feedback, respectively, and the ¸N gain can also be made arbitrarily small. In this paper we show that, these results do not hold for discrete-time systems.

📜 SIMILAR VOLUMES

Global stabilization of discrete-time li
Global stabilization of discrete-time linear systems with bounded inputs
✍ José Alvarez-Ramírez; Rodolfo Suárez 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 364 KB 👁 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

An improvement to the low gain design fo
An improvement to the low gain design for discrete-time linear systems in the presence of actuator saturation nonlinearity
✍ Zongli Lin; Ali Saberi; Anton A. Stoorvogel; Ravi Mantri 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 185 KB 👁 1 views

A low-gain design for linear discrete-time systems subject to input saturation was recently developed to solve both semi-global stabilization and semi-global output regulation problems. This paper proposes an improvement to the low-gain design and determines controllers with the new design that achi

On the effect of perturbations on the st
On the effect of perturbations on the stability of input–output linearizing controllers for a class of discrete-time nonlinear systems
✍ César Cruz-Hernández; Joaquín Alvarez-Gallegos; Rafael Castro-Linares 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB 👁 1 views

An analysis of the effect of parameter perturbations on the stability of input-output linearizing controllers for a class of MIMO discrete-time nonlinear systems is presented. A static-state feedback is designed to input-output linearize a system without perturbations, and it is applied to the same