On the Design of Robust H/spl infin/ Memory and Memoryless Tracking Controllers for a Class of Linear Time Delay Systems with Time-Varying Uncertainties

2006 ◽  
Author(s):  
A. Alif ◽  
M. Boutayeb ◽  
M. Darouach
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Tracking Controllers

Finite-Time Stabilization for Singular Linear Time-Delay Systems with Time-Varying Exogenous Disturbance

2012 ◽  
Vol 490-495 ◽  
pp. 2459-2463 ◽  
Author(s):  
Min Su ◽  
Shu Wei Wang ◽  
Xian Zhang
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Linear Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Delay Systems ◽  
Exogenous Disturbance ◽  
Exogenous Disturbances ◽  
Finite Time Stabilization

In this paper finite-time stabilization for singular linear time-delay systems with time-varying exogenous disturbances is defined. By combining Lyapunov approach and matrix inequality technique, a sufficient condition of the finite-time stabilization for this kind of systems is presented by a set of feasible problems involving linear matrix inequalities (LMIs) with nonlinear constraints. In addition, the nonlinear feasible problems are solved by an so-called cone complementary linearization (CCL) algorithm. The effectiveness of the approach proposed in this paper is presented by a numerical example.

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