Switching Control of Uncertain Dynamical Systems with Time Delay

2013 ◽  
pp. 323-344
Author(s):  
Jian-Qiao Sun ◽  
Xiao-Yan Zhang ◽  
Zhi-Chang Qin ◽  
Shun Zhong
Keyword(s):  
Time Delay ◽  
Dynamical Systems ◽  
Switching Control ◽  
Uncertain Dynamical Systems

Sliding mode control of uncertain dynamical systems with time delay using the continuous time approximation method

2011 ◽  
Vol 18 (9) ◽  
pp. 1254-1260 ◽  
Author(s):  
Bo Song ◽  
Jian-Qiao Sun
Keyword(s):  
Time Delay ◽  
Dynamical Systems ◽  
Sliding Mode Control ◽  
Continuous Time ◽  
Sliding Mode ◽  
Sliding Surface ◽  
State Variables ◽  
Time Approximation ◽  
Uncertain Dynamical Systems ◽  
Mode Control

A study of sliding mode control of uncertain dynamical systems with time delay is presented in this paper. The systems are assumed to have constant delay time and uncertain parameters with known upper and lower bounds. The method of continuous time approximation is applied to formulate the sliding mode control problem. The proposed treatment of the control delay leads to a higher-order control formulation for a system with additive uncertainties only. An optimal sliding surface is designed such that on the sliding surface, the controlled state variables act like a feedback control to the uncontrolled state variables. Examples of non-linear systems are presented to demonstrate the theoretical work.

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

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