Multi-rate sampled-data feedback system synthesis via a long-range predictive control approach

1998 ◽  
Author(s):  
A.W. Truman
Keyword(s):  
Long Range ◽  
Predictive Control ◽  
Feedback System ◽  
Sampled Data ◽  
System Synthesis ◽  
Control Approach ◽  
Data Feedback

scholarly journals Stabilization of systems with sector bounded nonlinearity by a sawtooth sampled-data feedback

2019 ◽  
pp. 222-227
Author(s):  
Alexander N. Churilov
Keyword(s):  
Feedback System ◽  
Sampling Frequency ◽  
Feasibility Problem ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Feedback Signal ◽  
Sampled Data ◽  
Successive Sampling ◽  
Data Feedback ◽  
Bounded Nonlinearity

The paper considers a nonlinear Lur’e type system with a sector bounded nonlinearity. The zero equilibrium of the system may be unstable, so it is stabilized by a periodically sampled feedback signal. Such stabilization problems were previously explored by a number of researches with the help of the zero-order hold (ZOH) control that is kept constant between successive sampling times. The main disadvantage of this method is that the time delay introduced by ZOH has a destabilizing impact on the closed feedback system, especially in the case when the sampling frequency is sufficiently low and the feedback gain is high. To reduce this effect it is proposed to modify the form of the stabilizing signal. In this paper the reverse sawtooth control is introduced instead of ZOH. The stability criterion is obtained in the form of a feasibility problem for some linear matrix inequalities (LMI). A numerical example demonstrates how the new stabilization method allows to reduce the sampling frequency required for stabilization.

True random bit generation with time‐delay sampled‐data feedback system

2013 ◽  
Vol 49 (8) ◽  
pp. 543-545 ◽  
Author(s):  
R. Yeniçeri ◽  
M.E. Yalçın
Keyword(s):  
Time Delay ◽  
Feedback System ◽  
Sampled Data ◽  
Data Feedback

Frequency-domain analysis of intermittent control

2009 ◽  
Vol 223 (5) ◽  
pp. 591-603 ◽  
Author(s):  
P J Gawthrop
Keyword(s):  
Frequency Domain ◽  
Balance Control ◽  
Design Method ◽  
Feedback System ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Theoretical Explanation ◽  
Intermittent Control ◽  
Sampled Data ◽  
Data Feedback

Intermittent control is a feedback control design method that combines both continuous-time and discrete-time domains. A recent result shows that this form of intermittent control can be rewritten as a sampled-data feedback system with a particular vector generalized hold. This paper builds on this result to give, for the first time, a frequency-domain analysis of the closed-loop system containing an intermittent controller. This analysis is illustrated using two examples. The first example is related to the human balance control system and is thus physiologically relevant. The second example gives a theoretical explanation of the phenomenon of self-induced oscillations in intermittent control systems.

Stability Study of PWM Feedback Systems

1964 ◽  
Vol 86 (1) ◽  
pp. 80-86 ◽  
Author(s):  
E. I. Jury ◽  
T. Nishimura
Keyword(s):  
Fundamental Equation ◽  
Sufficient Conditions ◽  
Feedback System ◽  
Stability Study ◽  
Data Systems ◽  
Sampled Data ◽  
Feedback Systems ◽  
Data Feedback ◽  
Maximum Period ◽  
Fundamental Equations

A fundamental equation which yields the limit-cycle feature of PWM feedback system is derived in this paper. The application of this equation to obtain the response of the autonomous as well as the forced PWM system is indicated. The application of this fundamental equation to other types of nonlinear sampled-data feedback systems is also demonstrated. The maximum mode of the limit cycles that can exist in relay-mode oscillations of PWM systems as well as the limitations on the maximum period is obtained in this paper. Based on the foregoing derivations, the sufficient conditions for eliminating all saturated oscillations is derived. The experimental study performed on the digital computer confirms the theoretical results. Stability curves for certain PWM systems are being calculated which will aid considerably in this design. The basic advantage of PWM controllers on relay sampled-data systems with regard to sensitivity and stability is well pointed out in this paper as well as a few examples illustrating the application of the fundamental equations derived.

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