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논문검색

Robust H∞ Controller Synthesis for Linear Uncertain Systems with Interval Time-delay : A Less Conservative Result

원문정보

초록

영어

In this paper, we consider the problem of delay-dependent H1 control of a class of
linear uncertain systems with interval time-varying delay and norm-bounded uncertainties
using Lyapunov-Krasovskii approach. By exploiting a candidate Lyapunov-Krasovakii (LK)
functional and using slack matrix variables in the delay-dependent stability analysis, a less
conservative stability criterion is first derived in terms of linear matrix inequalities (LMIs).
Subsequently, based on the criterion obtained, a delay-dependent condition for the existence
of a static state feedback controller, which ensures asymptotic stability as well as a prescribed
H1 performance of the closed loop system for all admissible uncertainties, is deduced. A
numerical example is employed to demonstrate the effectiveness of the proposed controller.

목차

Abstract
 1. Introduction
 2 System Description and Problem Statement
 3 Robust H∞ Performance Analysis
 4 Robust H∞ Controller Synthesis
 5 Numerical Example
 6 Conclusion
 References

저자정보

  • K. Ramakrishnan Department of Electrical Engineering Indian Institute of Technology Kharagpur, West Bengal 721302, India.
  • G. Ray Department of Electrical Engineering Indian Institute of Technology Kharagpur, West Bengal 721302, India.

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