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We consider the design of synthetic embedded feedback circuits that can implement desired changes in the concentration of the output of a biomolecular process (reference tracking in control terminology). Such systems require the use of a “subtractor” to generate an error signal that captures the difference between the current and desired values of the process output. Unfortunately, standard implementations...
The problem of non-conservative minimisation of the maximum amplitude of error signals in the time domain for multivariable systems subject to uncertain inputs is considered. It is shown that this problem, which is usually tackled using L1 control theory, can also be addressed in the framework of H∞ theory, via the introduction of some new signal uncertainty sets, and a slight modification of the...
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