Robust control design toolbox for Time Delay Systems with Parametric Uncertainties

2015 ◽  
Author(s):  
Marek Dlapa
Keyword(s):  
Time Delay ◽  
Robust Control ◽  
Control Design ◽  
Delay Systems ◽  
Parametric Uncertainties ◽  
Time Delay Systems ◽  
Robust Control Design

Applied Technology in Simple Robust Stabilization Design for Time-Delay Systems with Parametric Uncertainties

2014 ◽  
Vol 540 ◽  
pp. 368-371 ◽  
Author(s):  
Chien Hua Lee ◽  
Ping Sung Liao
Keyword(s):  
Time Delay ◽  
Riccati Equation ◽  
Robust Stabilization ◽  
Control Design ◽  
Delay Systems ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Time Delay Systems ◽  
Applied Technology ◽  
Continuous Time Delay

The robust stabilization design problem for the continuous time-delay systems subjected to parametric uncertainties is addressed in this paper. The uncertainties are time-varying. By using the Riccati equation approach associated with some linear algebraic techniques and an upper bound of the solution of the Riccati equation, a new stabilizability criterion and the corresponding control design are proposed. This criterion is independent of the Riccati equation and hence is easy to be tested and the corresponding controller is also easy to be implemented. It is shown that the criterion is sharper than a previous one. A numerical algorithm is also proposed to construct the controller.

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