Robust mode delay-dependent ℋ∞ control of discrete-time systems with random communication delays

2010 ◽  
Vol 4 (6) ◽  
pp. 936-944 ◽  
Author(s):  
S. Chae ◽  
F. Rasool ◽  
S.K. Nguang ◽  
A. Swain
Keyword(s):  
Discrete Time ◽  
Communication Delays ◽  
Discrete Time Systems ◽  
Random Communication Delays ◽  
Delay Dependent ◽  
Time Systems

scholarly journals New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Narongsak Yotha ◽  
Kanit Mukdasai
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Model Transformation ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Parameter Dependent ◽  
Time Systems

This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

scholarly journals A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Fengying Xu ◽  
Daxin Li
Keyword(s):  
Performance Analysis ◽  
Discrete Time ◽  
System Approach ◽  
Descriptor System ◽  
Linear Matrix ◽  
Quadratic Cost ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Time Systems ◽  
Delay Dependent Stability

A simplified descriptor system approach is proposed for discrete-time systems with delays in terms of linear matrix inequalities. In comparison with the results obtained by combining the descriptor system approach with recently developed bounding technique, our approach can remove the redundant matrix variables while not reducing the conservatism. It is shown that the bounding technique is unnecessary in the derivation of our results. Via the proposed method, delay-dependent results on quadratic cost andH∞performance analysis are also presented.

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