New delay-dependent conditions on robust stability and stabilisation for discrete-time systems with time-delay

2008 ◽  
Vol 39 (10) ◽  
pp. 1033-1040 ◽  
Author(s):  
Jun Yoneyama ◽  
Takuo Tsuchiya
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
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.

Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Hui Zhang ◽  
Yang Shi
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Time Varying ◽  
Design Algorithm ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Measured Time ◽  
Sampling Instant ◽  
Delay Dependent ◽  
Time Systems

In this paper, we investigate the stabilization problem of time-delay discrete-time systems with occurrence probabilities for time delays. Using an augmenting technique, we convert random time-delay discrete-time systems to delay-free systems with stochastic variables. We propose to design a sequence of delay-dependent controllers. The implemented controller is chosen according to the measured time delay at each sampling instant. When the delay is randomly time-varying, the implemented controller is switched in a designed controller set. An example is provided to illustrate the effectiveness of the stability condition and another example is offered to show the applicability of the proposed design algorithm.

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