Analytic criteria for the stability of linear control systems with time delay

2001 ◽  
Vol 8 (2) ◽  
pp. 279-289
Author(s):  
K. Breitung
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Linear Control ◽  
Linear Control Systems ◽  
The Stability

Stability Criterion of Linear Control Systems with Time Delay

1970 ◽  
Vol 3 (3) ◽  
pp. 86-87 ◽  
Author(s):  
F. L. N-Nagy ◽  
M. N. Al-Tikriti
Keyword(s):  
Control System ◽  
Time Delay ◽  
Control Systems ◽  
Stability Criterion ◽  
Feedback Loop ◽  
Linear Control ◽  
Linear Control Systems ◽  
Loop Gain ◽  
Nyquist Stability ◽  
The Stability

The paper outlines the Nyquist stability criterion linear control systems with time delay, using frequency response results. The variation of the loop-gain and time delay are investigated when the time delay occurs in the forward-loop or the feedback-loop or both. The stability condition of a simple control system is used to illustrate the method.

Stability Determination for Linear Control Systems with Distributed Lags

1972 ◽  
Vol 5 (6) ◽  
pp. 238-241 ◽  
Author(s):  
F L N-Nagy ◽  
M N Al-Tikriti
Keyword(s):  
Control Systems ◽  
Open Loop ◽  
Linear Control ◽  
Linear Control Systems ◽  
Loop Gain ◽  
Variable Parameters ◽  
Distributed Lag ◽  
Distributed Lags ◽  
Loop Transfer Function ◽  
The Stability

The paper outlines a specially adapted stability criterion for linear control systems with distributed lags. The stability is studied with respect to two variable parameters, ie the loop-gain and the distributed lag. The criterion employs an easily constructed chart prepared beforehand and only requires the plotting of two curves derived from the open-loop transfer function. The stability of a simple control system is investigated to illustrate the scheme.

scholarly journals Some New Difference Inequalities and an Application to Discrete-Time Control Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Hong Zhou ◽  
Deqing Huang ◽  
Wu-Sheng Wang ◽  
Jian-Xin Xu
Keyword(s):  
Control Systems ◽  
Nonlinear Function ◽  
Linear Control ◽  
Linear Control Systems ◽  
Nonlinear Perturbations ◽  
Rigorous Analysis ◽  
Composite Function ◽  
Time Control ◽  
Explicit Bounds ◽  
The Stability

Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the derived results are applied to the stability problem of a class of linear control systems with nonlinear perturbations.

Difference Inequalities and Application to Discrete-Time Control Systems

2014 ◽  
Vol 889-890 ◽  
pp. 978-981
Author(s):  
Zong Yi Hou ◽  
Wu Sheng Wang
Keyword(s):  
Control Systems ◽  
Nonlinear Function ◽  
Linear Control ◽  
Linear Control Systems ◽  
Nonlinear Perturbations ◽  
Rigorous Analysis ◽  
Composite Function ◽  
Time Control ◽  
Explicit Bounds ◽  
The Stability

In this paper, two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the derived results are applied to the stability problem of a class of linear control systems with nonlinear perturbations.

scholarly journals Structural Controllability of Discrete-Time Linear Control Systems with Time-Delay: A Delay Node Inserting Approach

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Ailing Qi ◽  
Xuewei Ju ◽  
Qing Zhang ◽  
Zengqiang Chen
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Linear Systems ◽  
Discrete Time ◽  
Linear Control ◽  
Linear Control Systems ◽  
Structural Controllability ◽  
Time Linear ◽  
Theoretical Results

This paper is concerned with the structural controllability analysis for discrete-time linear control systems with time-delay. By adding virtual delay nodes, the linear systems with time-delay are transformed into corresponding linear systems without time-delay, and the structural controllability of them is equivalent. That is to say, the time-delay does not affect or change the controllability of the systems. Several examples are also presented to illustrate the theoretical results.

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