Robust controller design for the uncertain system with time-delay

2003 ◽  
Author(s):  
Chen Dongyan ◽  
Sun Chao
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Uncertain System ◽  
Robust Controller ◽  
System With Time Delay ◽  
Robust Controller Design

Non-Fragile Robust Controller Design for Nonlinear Stochastic System with Time-Delay

2012 ◽  
Vol 443-444 ◽  
pp. 452-458 ◽  
Author(s):  
Ya Jun Li ◽  
Fei Qi Deng ◽  
Yun Jian Peng
Keyword(s):  
Time Delay ◽  
Stochastic System ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Nonlinear Stochastic System ◽  
Robust Controller ◽  
System With Time Delay ◽  
Robust Controller Design

The problem of non-fragile memoryless controller design for a class of uncertain nonlinear stochastic system with time-delay is considered. Based on Lyapunov candidate and the stochastic Lyapunov stability theory, the sufficient conditions making the closed-loop system robust stable are given and de-rived. All results are given by the form of linear matrix inequality (LMI) method. Numerical example is given to illustrate the effectiveness of the controller designed.

Robust Controller Design for Discrete Uncertain Multiple Time-Delay Systems

1997 ◽  
Vol 119 (1) ◽  
pp. 122-127 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Shing-Tai Pan ◽  
Ching-Cheng Teng
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Controller Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Ultimate Boundedness ◽  
Robust Controller ◽  
Robust Controller Design

We derive a variety of succinct criteria of robust stability for discrete uncertain systems which contain multiple delays and a class of series nonlinearities. Each result is expressed by a brief inequality and corresponds to compromise between simplicity and sharpness. The properties of norm are employed to investigate robustness conditions that guarantee asymptotic stability rather than ultimate boundedness of trajectories. It is shown that the uncertainties, nonlinearities, and delays are the factors of instability of the overall system, between which some compromise is necessary.

Sign in / Sign up

Export Citation Format

Share Document