Delay-dependent stability condition for linear 2-D state-delayed systems

2014 ◽  
Vol 8 ◽  
pp. 4621-4629 ◽  
Author(s):  
Said Kririm ◽  
Abdelaziz Hmamed
Keyword(s):  
Stability Condition ◽  
Delayed Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control

2015 ◽  
Vol 47 (12) ◽  
pp. 3004-3015 ◽  
Author(s):  
Abdelaziz Hmamed ◽  
Said Kririm ◽  
Abdellah Benzaouia ◽  
Fernando Tadeo
Keyword(s):  
Delayed Systems ◽  
Delay Dependent ◽  
Saturating Control ◽  
Delay Dependent Stability

Delay-Dependent Stability Criteria for Time-Delayed Systems

2013 ◽  
Vol 313-314 ◽  
pp. 1184-1187
Author(s):  
Chang Hui Song
Keyword(s):  
Sufficient Conditions ◽  
Functional Method ◽  
Stability Conditions ◽  
Quadratic Term ◽  
Asymptotically Stable ◽  
Stability Criteria ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

Design of nonlinear anti-windup compensator for time-delayed systems based on triple Lyapunov Functional

2019 ◽  
Vol 42 (5) ◽  
pp. 997-1007
Author(s):  
Vipin Chandra Pal ◽  
Richa Negi ◽  
Ishaan Mudgal
Keyword(s):  
Lyapunov Functional ◽  
Input Saturation ◽  
Internal Model Control ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Time Varying Delay ◽  
Saturation Nonlinearity ◽  
Model Control ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, an internal model control based anti-windup compensator (AWC) is designed for nonlinear systems subjected to time-varying delay and input saturation. By using Lyapunov Krasvoskii Functional, less conservative linear matrix inequality (LMI) based delay-dependent stability condition is derived by utilizing the information of delay. Triple integral Lyapunov Functional is used for finding the gains of AWC to guarantee the closed loop stability of the system and reduce the conservatism. The saturation nonlinearity is taken into account by using sector condition. Finally, the efficacy of proposed approach is shown by numerical examples.

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