Delay-dependent Robust control for uncertain singular systems with time-delay: A new method

2010 ◽  
Author(s):  
Qixun Lan ◽  
Huawei Niu
Keyword(s):  
Time Delay ◽  
Robust Control ◽  
Singular Systems ◽  
New Method ◽  
Uncertain Singular Systems ◽  
Delay Dependent

Asymptotic Stability Analysis and Controller Design for a Class of Switched Uncertain Singular Systems with Time-Delay

2013 ◽  
Vol 385-386 ◽  
pp. 890-895
Author(s):  
Yue Sheng Luo ◽  
Shan Gao ◽  
Yang Gao ◽  
Tong Li ◽  
Chun Fang Liu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Controller Design ◽  
Singular Systems ◽  
Singular System ◽  
Equivalent Transformation ◽  
Switching Law ◽  
Uncertain Singular Systems ◽  
Delay Dependent

The problem of robustly asymptotic stability and controller design for a class of switched uncertain singular systems with time-delay is considered. By means of Lyapunov function and Matrix equivalent transformation, based on multiple Lyapunov function techniques, a delay-dependent sufficient condition is deduced, such that the solution of the switched singular system with time-delay is robustly asymptotic stable for all admissible uncertainties under an appropriate switching law. Furthermore, a convex optimization problem with LMI constraints is formulated such that the maximum bound on the admissible delay can be determined by using the LMI toolbox in MATLAB. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.

scholarly journals H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Cheng Gong ◽  
Yi Zeng
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Singular Systems ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Time-varying Delay⋆

2008 ◽  
Vol 41 (2) ◽  
pp. 5874-5879 ◽  
Author(s):  
Huijiao WANG ◽  
Anke XUE ◽  
Renquan LU ◽  
Xiaodong ZHAO ◽  
Xiaohui ZHOU
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay
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