Angular positional control system

Fig. 4.41 Angular positional control system. = Error detector gain (V/rad) K2 = Amplifier gain (A/V) Kj = Motor constant (Nm/A) n = Gear ratio Hi = Tachogenerator constant (Vs/rad) H = Load moment of inertia (kg m ) Q = Load damping coefficient (Nms/rad).

The block diagram for an angular positional control system is shown in Figure 10.36. The system parameters are ... 

The angular positional control system shown by the block diagram in Figure 10.36 is to have the velocity feedback loop removed and controller K replaced by a fuzzy logic controller (FLC) as demonstrated by Barrett (1992). The inputs to the FLC... 

Controlled radical cyclization directly onto a ring junction is less easy. Lejeune and Lallemand envisaged that a tethered radical cyclization of a (bromomethyl)dimethylsilyl ether onto an allylic double bond could be used to incorporate a hydroxymethyl functionality into an angular position at the ring junction of a decalin system [53]. This would then provide an interesting entry into a variety of natural products containing this skeletal functionality, such as the insect antifeedant clerodin 132 (Scheme 10-45). 

In some systems the rotation of the crystal and the detector is mechanically coupled with gears. Other systems have no mechanical coupling but use computer-controlled stepper motors for the crystal and the detector. The newest systems use optical position control by optical sensors or optical encoding devices. Optical position control permits very high angular precision and accuracy and very fast scanning speeds. 

For a system the angular momentum conservation law is stated as follows The rate of change of the angular momentum of a material volume V(t) is equal to the sum of the torques. Let the vector Vj be the position of a point on the Lagrangian control volume surface with respect to a fixed origin. The relevant terms are formulated as follows [119] [134] [13] ... 

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