Robust H∞ observer for nonlinear discrete systems with time delay and parameter uncertainties

2004 ◽  
Vol 151 (4) ◽  
pp. 439-444 ◽  
Author(s):  
G. Lu ◽  
D.W.C. Ho
Keyword(s):  
Time Delay ◽  
Discrete Systems ◽  
Parameter Uncertainties ◽  
Nonlinear Discrete Systems

Global stabilization in nonlinear discrete systems with time-delay

2012 ◽  
Vol 56 (2) ◽  
pp. 251-263 ◽  
Author(s):  
Anatoli F. Ivanov ◽  
Musa A. Mammadov ◽  
Sergei I. Trofimchuk
Keyword(s):  
Time Delay ◽  
Discrete Systems ◽  
Global Stabilization ◽  
Nonlinear Discrete Systems

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

Uniform asymptotic stability of impulsive discrete systems with time delay

2011 ◽  
Vol 74 (15) ◽  
pp. 4941-4950 ◽  
Author(s):  
Xinzhi Liu ◽  
Zhigang Zhang
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Systems ◽  
Uniform Asymptotic Stability

scholarly journals New observer-based control design for mismatched uncertain systems with time-delay

2016 ◽  
Vol 26 (4) ◽  
pp. 597-610 ◽  
Author(s):  
Van Van Huynh
Keyword(s):  
Time Delay ◽  
Estimation Error ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
State Matrix ◽  
Control Techniques ◽  
Uncertain Time

Abstract In this paper, the state estimation problem for a class of mismatched uncertain time-delay systems is addressed. The estimation uses observer-based control techniques. The mismatched uncertain time-delay systems investigated in this study include mismatched parameter uncertainties in the state matrix and in the delayed state matrix. First, based on a new lemma with appropriately choosing Lyapunov functional, new results for stabilization of mismatched uncertain time-delay systems are provided on the basis of a linear matrix inequality (LMI) framework and the asymptotic convergence properties for the estimation error is ensured. Second, the control and observer gains are given from single LMI feasible solution which can overcome the drawback of the bilinear matrix inequalities approach often reported in the literature. Finally, a numerical example is used to demonstrate the efficacy of the proposed method.

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