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 The Design of Robust Controller for Networked Control System with Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Zhongda Lu ◽  
Lijing Wang ◽  
Fengbin Zhang ◽  
Fengxia Xu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Control Systems ◽  
Networked Control Systems ◽  
System Modeling ◽  
Networked Control System ◽  
Networked Control ◽  
Loop Model ◽  
The Stability ◽  
System With Time Delay

This paper considers the stability andH∞control problem of networked control systems with time delay. Taking into account the influence of network with delay, unknown input disturbance, and uncertainties of the system modeling, meanwhile we establish a precise, closed-loop model for networked control systems with time delay. By selecting a proper Lyapunov-Krasovskii function and using Lyapunov theorem, a sufficient condition for stability of the system in the form of LMI is demonstrated, corresponding controller parameters are acquired, and the convergence of the control algorithm is proved. The simulation example shows that the construction of the network robust control system with time delay indeed improves the stability performance of the system, which indicates the effectiveness of the design.

Effect of Reference Height Control System on CPG Networks for Quadruped Hopping Robot

2013 ◽  
Vol 313-314 ◽  
pp. 498-502
Author(s):  
A.M. Kassim ◽  
M.Z.A. Rashid ◽  
M.R. Yaacob ◽  
N. Abas ◽  
T. Yasuno
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Loop ◽  
Engineering Application ◽  
Pi Controller ◽  
Feedback Control System ◽  
Height Control ◽  
Hopping Robot ◽  
The Stability

In this paper, the collaboration of CPG networks with the feedback control system which are composed with the maximum hopping height detector and the Proportional Integral (PI) controller as an engineering application for the CPG network is proposed with the developed control systems. By adding the feedback loop through the feedback controller, the developed quadruped hopping robot not only can generate the continuous hopping performances but also can control the desired hopping height. As the result, the effectiveness of CPG networks to keep the stability of the developed quadruped hopping robot besides of confirming the validity of using reference height control system to generate hopping capability at different reference height, respectively.

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.

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