LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems

2002 ◽  
Author(s):  
Xi Li ◽  
C.E. de Souza
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Lmi Approach ◽  
Linear Delay ◽  
Stability And Stabilization ◽  
Delay Dependent ◽  
Robust Stability And Stabilization

scholarly journals Robust Stability and Stabilization for Singular Time-Delay Systems with Linear Fractional Uncertainties: A Strict LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jinxing Lin ◽  
Lina Rong
Keyword(s):  
Robust Stability ◽  
Singular Systems ◽  
Delay Systems ◽  
Linear Matrix ◽  
Parametric Uncertainties ◽  
Stabilizing Controller ◽  
Time Varying Delay ◽  
Stability And Stabilization ◽  
Delay Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problems of delay-dependent robust stability and stabilization for a class of continuous singular systems with time-varying delay in range and parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. In terms of strict linear matrix inequalities (LMIs), delay-range-dependent robust stability criteria for the unforced system are presented. Moreover, a strict LMI design approach is developed such that, when the LMI is feasible, a desired state feedback stabilizing controller can be constructed, which guarantees that, for all admissible uncertainties, the closed-loop dynamics will be regular, impulse free, and robustly asymptotically stable. Numerical examples are provided to demonstrate the effectiveness of the proposed methods.

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