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Mathematical analyses have been used to develop a computational model of the plant clock system, which contains the main transcriptional feedback loop (Loop I) and two additional loops (Loops II and III) associated with the main loop [ 4, 5].
The main feedback loop (Loop I) consists of two LHY/CCA1 genes, the Pseudo-Response Regulator 1/ Timing of CAB2 Expression 1 (PRR1/ TOC1) gene and the unknown factor "X".
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NNF: Negative feedback loop with additional negative feedback loop.
PNF: Negative feedback loop with additional positive feedback loop.
However, after inserting a shaper into the feedback loop, the closed loop dynamics becomes infinite dimensional.
Furthermore, it is shown that the property of input feedforward passivity is invariant under all possible interconnections: parallel, serial, positive feedback loop, and negative feedback loop.
It is thus pertinent to ask why current cellular clock models almost universally have interlocked negative feedback loop (NFL) and positive feedback loop (PFL).
The control algorithm is developed based on the Takagi-Sugeno fuzzy model, and it consists of two loops: a feedforward loop and feedback loop.
The output class AB stage of the error amplifier and the non-linear derivative current amplifier of the LDO feedback loop ensure dynamical extended close-loop bandwidth gain and dynamical damping enhancement for fast load and line LDO transients.
Two approaches for the ICE speed control are investigated: (i) a single loop gain-scheduled proportional integral (PI) controller and (ii) a dual loop control based on an internal gain-scheduled Manifold Absolute Pressure (MAP) feedback loop and an outer loop composed of a gain-scheduled PI controller.
The major advantage of the proposed architecture is that motion planning (and eventually sensor based re-planning (slower feedback loop)) is limited to the leg joints whereas the trunk and arm degrees of freedom are controlled in closed loop (faster feedback loop) to achieve overall dynamic stability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com