On the stability of nucleic acid feedback control systems

Automatica ◽  
2020 ◽  
Vol 119 ◽  
pp. 109103
Author(s):  
Nuno Miguel Gomes Paulino ◽  
Mathias Foo ◽  
Jongmin Kim ◽  
Declan G. Bates
Keyword(s):  
Nucleic Acid ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Control Systems ◽  
The Stability

scholarly journals Minimally Complex Nucleic Acid Feedback Control Systems for First Experimental Implementations

2020 ◽  
Vol 53 (2) ◽  
pp. 16745-16752
Author(s):  
Nuno M.G. Paulino ◽  
Mathias Foo ◽  
Tom F.A. de Greef ◽  
Jongmin Kim ◽  
Declan G. Bates
Keyword(s):  
Nucleic Acid ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Control Systems

Stability of Pulse-Width Modulated Systems under Gaussian Disturbances

1971 ◽  
Vol 4 (1) ◽  
pp. T1-T5
Author(s):  
J. A. Heinen ◽  
S. H. Wu
Keyword(s):  
Computer Simulation ◽  
Feedback Control ◽  
Control Systems ◽  
Pulse Width ◽  
Pulse Width Modulated ◽  
Systematic Procedure ◽  
Feedback Control Systems ◽  
The Stability

A systematic procedure for determining the stability and oscillations of pulse-width modulated (PWM) feedback control systems under Gaussian disturbances is presented. The method is based upon statistical linearisation and the equivalent gain concept developed by Sridhar and Oldenburger. Equivalent gain formulas for general pulse-width modulated systems were developed and evaluated. Using these formulas a typical PWM system was studied. It was found that the predicted results agreed closely with the results obtained from computer simulation.

scholarly journals Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Mahmoud Tarokh
Keyword(s):  
Feedback Control ◽  
Inverse Problems ◽  
Control Systems ◽  
Stability And Convergence ◽  
Science And Engineering ◽  
New Approach ◽  
Control Approach ◽  
Highly Nonlinear ◽  
Feedback Control Systems ◽  
The Stability

Inverse problems have applications in many branches of science and engineering. In this paper we propose a new approach to solving inverse problems which is based on using concepts from feedback control systems to determine the inverse of highly nonlinear, discontinuous, and ill-conditioned input-output relationships. The method uses elements from least squares solutions that are formed within a control loop. The stability and convergence of the inverse solution are established. Several examples demonstrate the applicability of the proposed method.

scholarly journals Minimally Complex Nucleic Acid Feedback Control Systems for First Experimental Implementations

2019 ◽  
Author(s):  
Nuno M. G. Paulino ◽  
Mathias Foo ◽  
Tom F. A. de Greef ◽  
Jongmin Kim ◽  
Declan G. Bates
Keyword(s):  
Nucleic Acid ◽  
Feedback Control ◽  
Control Systems ◽  
Scale Up ◽  
Building Blocks ◽  
State Feedback Control ◽  
Dna Strand Displacement ◽  
Feedback Control Systems ◽  
Control Circuits ◽  
Dna Strand

AbstractChemical reaction networks based on catalysis, degradation, and annihilation may be used as building blocks to construct a variety of dynamical and feedback control systems in Synthetic Biology. DNA strand-displacement, which is based on DNA hybridisation programmed using Watson-Crick base pairing, is an effective primitive to implement such reactions experimentally. However, experimental construction, validation and scale-up of nucleic acid control systems is still significantly lagging theoretical developments, due to several technical challenges, such as leakage, crosstalk, and toehold sequence design. To help the progress towards experimental implementation, we provide here designs representing two fundamental classes of reference tracking control circuits (integral and state-feedback control), for which the complexity of the chemical reactions required for implementation has been minimised. The supplied ‘minimally complex’ control circuits should be ideal candidates for first experimental validations of nucleic acid controllers.

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