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TECHNICAL BRIEFS

On Robust Stability and Performance With Time-Varying Control

[+] Author and Article Information
Mohammed Dahleh

Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106

J. Dyn. Sys., Meas., Control 117(4), 635-637 (Dec 01, 1995) (3 pages) doi:10.1115/1.2801125 History: Received January 04, 1993; Online December 03, 2007

Abstract

The analysis of time-varying control for robust stabilization and performance improvement is considered. This problem has been investigated in recent years from the point of view of assessing the capabilities of time-varying control to stabilize plants with structured norm bounded perturbations. In this paper, it is shown that time-varying compensation provides no improvement over time-invariant compensation for the stability and performance robustness of discrete-time systems with structured, causal, time-varying, and norm-bounded perturbations, where the norm on the perturbations is the l2 -induced norm. The results of this paper help in completing the picture for the case of time-varying perturbations.

Copyright © 1995 by The American Society of Mechanical Engineers
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