𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A connection between H∞ control and the absolute stabilizability of discrete-time uncertain linear systems

✍ Scribed by S.O.Reza Moheimani; Andrey V. Savkin; Ian R. Petersen

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
381 KB
Volume
31
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the problem of stabilizing a class of uncertain discrete-time systems in which the uncertainty satisfies a certain sum constraint. We consider a notion of absolute stabilizability for discrete-time systems and show that a necessary and sufficient condition for a discrete-time uncertain system to be absolutely stabilizable is existence of a solution to a corresponding discrete-time %& control problem. We also show that if it is possible to stabilize an uncertain system via nonlinear output feedback control then it is possible to absolutely stabilize it via linear output feedback control.

📜 SIMILAR VOLUMES

Optimal guaranteed cost control of discr
Optimal guaranteed cost control of discrete-time uncertain linear systems
✍ Ian R. Petersen; Duncan C. McFarlane; Mario A. Rotea 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 100 KB 👁 2 views

This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.

On trajectory-dependent direct adaptive
On trajectory-dependent direct adaptive control for a class of uncertain linear discrete-time systems
✍ Chi-Cheng Cheng; Simon Hsu-Sheng Fu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 3 views

## Abstract In this paper, we develop a direct adaptive control framework for a class of linear discrete‐time uncertain multi‐input–multi‐output (MIMO) systems with exogenous bounded disturbances. The proposed adaptive controller guarantees adaptive stabilization, while the controller does not requ

A µ-dependent approach to H∞ control of
A µ-dependent approach to H∞ control of uncertain switched linear systems with average dwell time
✍ Lixian Zhang; El-Kebir Boukas; Peng Shi; Zhaobo Chen 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

## Abstract This paper concerns __H__~∞~ control problem for a class of discrete‐time uncertain switched linear systems with average dwell time. The stability result for general discrete‐time switched systems is first explored, and a µ‐dependent approach is then introduced for the considered system