Shannon’s Theory and Feedback Systems

1960 ◽  
Vol 82 (1) ◽  
pp. 46-50
Author(s):  
S. S. L. Chang
Keyword(s):  
Information Theory ◽  
Feedback Control ◽  
Control Systems ◽  
Communication Channel ◽  
Transfer Functions ◽  
The Other ◽  
Feedback Systems ◽  
Threshold Levels ◽  
System Components ◽  
Feedback Control Systems

Feedback can be used as a means of realizing Shannon-predicted errorless capacity of a noisy communication channel. On the other hand, Shannon’s information theory can be used as a guide for rating feedback control systems as well as selecting system components. A brief summary of the former aspect and the results from some preliminary investigations of the latter aspect are presented. Included topics are calculations of required information capacities of control systems from input characteristics and fidelity requirements, required information capacities of system components, and calculation of information capacities of system components from saturation limits, threshold levels, and transfer functions.

scholarly journals CoRa –A general approach for quantifying biological feedback control

2020 ◽  
Author(s):  
Mariana Gómez-Schiavon ◽  
Hana El-Samad
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
General Framework ◽  
Control Mechanism ◽  
Biological Molecules ◽  
Control Mechanisms ◽  
Biological Processes ◽  
Biological Feedback ◽  
Feedback Systems ◽  
Feedback Control Systems

AbstractFeedback control is a fundamental underpinning of life, underlying homeostasis of biological processes at every scale of organization, from cells to ecosystems. The ability to evaluate the contribution and limitations of feedback control mechanisms operating in cells is a critical step for understanding and ultimately designing feedback control systems with biological molecules. Here, we introduce CoRa –or ControlRatio–, a general framework that quantifies the contribution of a biological feedback control mechanism to adaptation using a mathematically controlled comparison to an identical system that does not contain the feedback. CoRa provides a simple and intuitive metric with broad applicability to biological feedback systems.

Stabilization for Quantized Feedback Control Systems: An LMI Approach

2011 ◽  
Vol 383-390 ◽  
pp. 2161-2167
Author(s):  
Jin Fang
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Communication Channel ◽  
Feedback Stabilization ◽  
Control Problems ◽  
Quantization Scheme ◽  
Lmi Approach ◽  
Quantized Feedback ◽  
Feedback Control Systems ◽  
Proof Techniques

This paper addresses the feedback stabilization problem for quantized feedback control systems, where sensors and controllers are connected by a digital communication channel. A dynamic, logarithmic quantization scheme is proposed. It is shown that quantized feedback control problems can be converted to robust control problems. The proof techniques rely on the LMI approach. Simulation results show the validity of the proposed quantization policy.

H ∞ Optimal Robust Control of Feedback Systems

1989 ◽  
Vol 111 (2) ◽  
pp. 336-339 ◽  
Author(s):  
Mi-Ching Tsai ◽  
Yen-Ping Shin
Keyword(s):  
Robust Control ◽  
Feedback Control ◽  
Control Systems ◽  
Explicit Formula ◽  
Sufficient Condition ◽  
Feedback Systems ◽  
Feedback Control Systems ◽  
Uncertainty Band ◽  
Multivariable Feedback

In this paper, we apply and extend Young’s algorithm for the Nevanlinna-Pick problems to solve an optimal robust stabilizer in multivariable feedback control systems. A sufficient condition for the existence of a robust stabilizer, in terms of the unstable poles of a given nominal plant and its uncertainty band function, is derived and an explicit formula for synthesizing the optimal robust stabilizer is also given.

An Operational Method for Nonparametric Analysis of Feedback Control Systems

1996 ◽  
Vol 118 (3) ◽  
pp. 639-643
Author(s):  
Jianhua Pan ◽  
J. Van de Vegte ◽  
J. K. Mills
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Closed Loop ◽  
Transfer Functions ◽  
Nonparametric Analysis ◽  
Operational Method ◽  
Response Models ◽  
Analysis And Design ◽  
Symbolic Forms ◽  
Feedback Control Systems

An operational method of analysis using nonparametric impulse response models is proposed for the nonparametric analysis and design of feedback control systems. It is based on the algebra of convolution quotients, and represents common results such as closed-loop transfer functions in symbolic forms, which closely resemble those for conventional parametric analysis. In design applications, controllers are also expressed symbolically by means of convolution quotients. A deconvolution algorithm is proposed to compute the convolution quotients, and permits these symbolic forms to be evaluated and applied to nonparametric analysis and design.

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