Robust variable structure control for uncertain systems with multiple time delays

2002 ◽  
Author(s):  
Ming-Sheng Yang
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Multiple Time ◽  
Structure Control ◽  
Multiple Time Delays

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

scholarly journals LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

2003 ◽  
Vol 46 (3) ◽  
pp. 1108-1111
Author(s):  
Chang-Hua LIEN ◽  
Jenq Der CHEN ◽  
Ker-Wei YU
Keyword(s):  
Stability Criterion ◽  
Time Delays ◽  
Uncertain Systems ◽  
Multiple Time ◽  
Multiple Time Delays

Output Feedback Variable Structure Control for Uncertain Systems with Input Nonlinearities

2000 ◽  
Vol 23 (4) ◽  
pp. 762-764 ◽  
Author(s):  
Yi Shen ◽  
Chunmei Liu ◽  
Hengzhang Hu
Keyword(s):  
Output Feedback ◽  
Uncertain Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control

Sliding Mode Variable Structure Control Design for a Kind of Nonlinear Discrete Singular Uncertain Systems with Time-Delay

2011 ◽  
Vol 383-390 ◽  
pp. 5803-5809 ◽  
Author(s):  
Yong Xu Wang ◽  
Cai Hong Zhang ◽  
Cun Che Gao
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control ◽  
Discrete Singular Systems ◽  
Interval Coefficients ◽  
Sliding Mode Variable Structure

In this paper, the quasi-sliding mode variable structure control problem for interval coefficients nonlinear discrete singular uncertain systems with time-delay is researched, and it can be decomposed to two lower dimension systems with ordinary coefficients. According to some results on robust stability of discrete singular systems with time-delay, the quasi-switching manifold with difference compensator are designed, then with the quasi-sliding mode variable structure control law, the system comes to stability. At last, the feasibility and effectiveness of the results are explained by a numerical example.

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