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

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ASADINIA MARYAMSADAT; BINAZADEH TAHEREH

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Journal: Journal of Control Year:2016 | Volume:10 | Issue:3 Page(s): 25-38

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Title

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 | Issue Writer Certificate

Keywords

TIME-VARYING SINGULAR SYSTEMSQ2

ROBUST STABILITYQ1

INPUT AMPLITUDE CONSTRAINTQ3

MODEL UNCERTAINTYQ2

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.

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APA: Copy

ASADINIA, MARYAMSADAT, & BINAZADEH, TAHEREH. (2016). DESIGN OF ROBUST CONTROL LAW FOR STABILIZATION OF SINGULAR SYSTEMS WITH TIME-VARYING DELAY IN THE PRESENCE OF MODEL UNCERTAINTY AND INPUT AMPLITUDE CONSTRAINT. JOURNAL OF CONTROL, 10(3 ), 25-38. SID. https://sid.ir/paper/120847/en

Vancouver: Copy

ASADINIA MARYAMSADAT, BINAZADEH TAHEREH. DESIGN OF ROBUST CONTROL LAW FOR STABILIZATION OF SINGULAR SYSTEMS WITH TIME-VARYING DELAY IN THE PRESENCE OF MODEL UNCERTAINTY AND INPUT AMPLITUDE CONSTRAINT. JOURNAL OF CONTROL[Internet]. 2016;10(3 ):25-38. Available from: https://sid.ir/paper/120847/en

IEEE: Copy

MARYAMSADAT ASADINIA, and TAHEREH BINAZADEH, “DESIGN OF ROBUST CONTROL LAW FOR STABILIZATION OF SINGULAR SYSTEMS WITH TIME-VARYING DELAY IN THE PRESENCE OF MODEL UNCERTAINTY AND INPUT AMPLITUDE CONSTRAINT,” JOURNAL OF CONTROL, vol. 10, no. 3 , pp. 25–38, 2016, [Online]. Available: https://sid.ir/paper/120847/en

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