scholarly journals Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements

Automatica ◽  
2009 ◽  
Vol 45 (3) ◽  
pp. 684-691 ◽  
Author(s):  
Zidong Wang ◽  
Daniel W.C. Ho ◽  
Yurong Liu ◽  
Xiaohui Liu
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Stochastic Systems ◽  
Missing Measurements ◽  
Discrete Time Delay

scholarly journals RobustH∞Control for a Class of Discrete Time-Delay Stochastic Systems with Randomly Occurring Nonlinearities

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Yamin Wang ◽  
Fuad E. Alsaadi ◽  
Stanislao Lauria ◽  
Yurong Liu
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Attenuation Level ◽  
Discrete Time Delay ◽  
And Control

In this paper, we consider the robustH∞control problem for a class of discrete time-delay stochastic systems with randomly occurring nonlinearities. The parameter uncertainties enter all the system matrices; the stochastic disturbances are both state and control dependent, and the randomly occurring nonlinearities obey the sector boundedness conditions. The purpose of the problem addressed is to design a state feedback controller such that, for all admissible uncertainties, nonlinearities, and time delays, the closed-loop system is robustly asymptotically stable in the mean square, and a prescribedH∞disturbance rejection attenuation level is also guaranteed. By using the Lyapunov stability theory and stochastic analysis tools, a linear matrix inequality (LMI) approach is developed to derive sufficient conditions ensuring the existence of the desired controllers, where the conditions are dependent on the lower and upper bounds of the time-varying delays. The explicit parameterization of the desired controller gains is also given. Finally, a numerical example is exploited to show the usefulness of the results obtained.

Stabilization of Linear Discrete Time Delay Systems with Additive Disturbance and Saturating Actuators

2000 ◽  
Vol 33 (14) ◽  
pp. 261-266
Author(s):  
Sophie Tarbouriech ◽  
Germain Garcia ◽  
Pedro L.D. Peres ◽  
Isabelle Queinnec
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Saturating Actuators ◽  
Discrete Time Delay
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