The phrase "a regulation error" is correct and usable in written English.
It can be used in contexts where a mistake or violation related to rules or regulations is being discussed.
Example: "The team was penalized for a regulation error during the match, which led to a loss of points."
Alternatives: "a compliance error" or "a rules violation".
If this is not the case, a bounded steady-state regulation error is ensured whose amplitude, though, can be arbitrarily decreased by acting on a design parameter of the regulator.
The uncertain initial conditions and disturbances due to intrinsic and extrinsic molecular noises on the host cell are considered as a player maximizing the regulation error and the design parameters are considered as another player minimizing the regulation error.
A second type of direct/indirect confusion is what we call a co-regulation error, where co-regulated genes are incorrectly predicted to regulate one another (see schematic associated with Figure 7).
There are two basic possibilities for doing that: (i) the specification of an integral weighting of the regulation error; or (ii) the direct inclusion of an integrator in series with the plant control input.
The worst-case effect of all possible initial conditions and disturbances on the regulation error to a desired steady state is minimized for the robust synthetic gene networks, i.e. the proposed robust synthetic gene network is designed from the minimax regulation error perspective.
If its adaptive internal model can generate the required control input global asymptotic regulation is achieved, otherwise the regulation error tends to a residual set which decreases as the reference input modeling error decreases.
To achieve the objective of this work, we modify the conventional output regulation error in such a way that it can handle more than one leader, and we also introduce a dynamic compensator.
To integrate well with the pre-designed feedback controller, an auxiliary error instead of the regulation error is utilized to design the multirate adaptive controller.
The uncertainty of disturbance v and initial condition in the following minimax design can be considered as a player maximizing their effects on the regulation error in the following robust design problem of synthetic gene networks (Basar and Olsder, 1999; Chen et al., 2002).
The proposed method for trimming allows for a high yield of approaching 100%, with line/load regulation error <2%, and the maximum transient output voltage variation of 3% with a load step from 1 mA to 600 mA in 100 ns.
