Time-Delay Dependent Robust Passive Control for a Class of Nonlinear Time-Delay Systems

2006 ◽  
Author(s):  
Yang Li ◽  
Zhang Qingling
Keyword(s):  
Time Delay ◽  
Passive Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent

Passive Control for Uncertain Stochastic Time-Delay Systems

2011 ◽  
Vol 58-60 ◽  
pp. 691-696
Author(s):  
Cheng Wang ◽  
Huan Bin Liu
Keyword(s):  
Time Delay ◽  
Passive Control ◽  
Stochastic Systems ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
And Control ◽  
Stochastic Time

This paper investigates the problems of delay-dependent passive analysis and control for uncertain stochastic systems with time-varying delay and norm-bounded parameters uncertainties. Delay-dependent stochastic passive condition for the uncertain stochastic time-delay systems is obtained based on Laypunov-Krasovkii functional approach. On the basis of this condition, a delay-dependent passive controller is presented. Sufficient condition for the existence of desired controller is formulated in terms of linear matrix inequality. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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.

DELAY-DEPENDENT SYNCHRONIZATION CRITERION FOR LUR'E SYSTEMS WITH DELAY FEEDBACK CONTROL

2006 ◽  
Vol 16 (10) ◽  
pp. 3087-3091 ◽  
Author(s):  
YONG HE ◽  
GUILIN WEN ◽  
QING-GUO WANG
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Matrix Approach ◽  
Time Delay Systems ◽  
Stability Studies ◽  
Lur’E Systems ◽  
Weighting Matrix ◽  
Delay Feedback Control ◽  
Delay Dependent ◽  
Synchronization Scheme

A master-slave synchronization scheme for Lur'e systems is studied for a known delay existing between master and slave systems. Based on the latest development of stability studies for time-delay systems, a new delay-dependent synchronization criterion is derived by the free-weighting matrix approach. The criterion shown by example is less conservative than the existing synchronization criteria.

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