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Robust Control of Time Delay Systems through a Structured Uncertainty Approach

Authors:Tavassoli Babak, University of Tehran, Iran (Islamic Republic of)
Yazdanpanah Mohammad Javad, University of Tehran, Iran (Islamic Republic of)
Topic:2.5 Robust Control
Session:Robustness Analysis II
Keywords: control, Structured singular value, Time delay, Uncertainty, Design.

Abstract

In this work mu-Synthesis technique is utilized to design controllers for uncertain time-delay systems. For this purpose, delay elements are replaced by a linear uncertain block based on pade approximation of the delay elements. This will result in a linear system with nonlinear dependency on an uncertain parameter which lies in an infinite interval. Two general ideas are employed to cope with the difficulties associated with such an irregular dependency. These two ideas are general and can be applied in other cases. A design example and comparison with one of the newest control techniques is also provided.