Paper Information

Journal:   JOURNAL OF CONTROL   FALL 2016 , Volume 10 , Number 3 #F0068; Page(s) 25 To 38.
 
Paper: 

DESIGN OF ROBUST CONTROL LAW FOR STABILIZATION OF SINGULAR SYSTEMS WITH TIME-VARYING DELAY IN THE PRESENCE OF MODEL UNCERTAINTY AND INPUT AMPLITUDE CONSTRAINT

 
 
Author(s):  ASADINIA MARYAMSADAT, BINAZADEH TAHEREH
 
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Abstract: 

This paper investigates the problem of robust stabilization of uncertain singular systems with time-varying delay in the presence of model uncertainties and input amplitude constraint. Here, the purpose of robust stabilization is to design a saturated state feedback such that the closed-loop system is regular, impulse free and stable for all admissible uncertainties. The timedelay has been considered to be time-varying with known lower and upper bound. The problem of stabilization is studied in two cases. First, the robust stabilization problem is considered for the singular systems with time-varying delay in the presence of actuator saturation and model uncertainties. In this case, the existence conditions of robust stabilizing delay-independent state feedback controller are given via the linear matrix inequalities. Additionally, an estimation of the domain of attraction of the closed-looped system is proposed in the related theorem. In the second case, delay-dependent criteria for robust stability of uncertain time-delay singular systems withconstrained input is given in two theorems. These theorems investigate delay-independent stability conditions via the linear matrix inequalities for constant and time-varying delay. Also, the domain of attraction for the closed-looped system is estimated in this case, too. Finally, practical and numerical examples are given and simulation results verify the theoretical achievements of paper.

 
Keyword(s): TIME-VARYING SINGULAR SYSTEMS, ROBUST STABILITY, INPUT AMPLITUDE CONSTRAINT, MODEL UNCERTAINTY
 
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