how to use barcode scanner in asp.net c# FIG 5.17. A dual-mode system for increasing set point. in .NET

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FIG 5.17. A dual-mode system for increasing set point.
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Nonlinear Control Elements
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~3/ -y-yFIG 5.18. Maladjustments in the program parameters are easy to diagnose. z
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2. When e = ez, the on-off output drops to 0 percent and the time delay begins. The on-off operator remains in control and preload is sustained. 3. At the end of the delay period, transfer is made to the proportionalplus-reset-plus-derivative controller and preload is replaced with COIItroller out put, starting reset uct ion. By this time, the error and its derivative should both be zero, so the controller output will equal the preload setting. Transfer is therefore Lbumpless. The dual-mode system gives the best set-point response attainable. Optimal switching, by definition, is unmatched in the unsteady state, while t,he linear controller provides the regulation necessary in the steady state. But any control system is only as good as the intelligence with which it is supplied. In the event of maladjustments in the three parametcrs el, q, and id, the track of the controlled variable will be imperfect. The value of el will vary directly with the difficulty of the process. A s the process difficulty decreases, the controlled variable is less a function of load, and hence has more tolerance for inaccuracies in the control parameters. But the degree of performance improvement provided by dual-mode control also varies directly with process difficulty. The dual-mode system needs six adjustments, which fall into t\vo independent groups. Settings of proportional, reset, and derivative only pertain t o t,he steady state, while the program settings are in effect elsewhere. Consequently, adjusting the dual-mode system is no more difficult than adjusting two separate controllers. Rules for setting the program parameters are self-evident : 1. ,\Inladjustment of el causes overshoot or excessive damping. 2. Excess t)ime delay turns the controlled variable downward after the set point is reached. 3. An incorrect preload setting introduces a bump after the t imedelay interval. The effect s of these mnlndjust~mcnts are graphically demonst rnted in Fig. 5.18. Recall the specifications which were set, forth at the beginning of the section 011 dual-mode control. *\ Insimum speed has been provided by the on-off controller. The programmed switching crit icnlly damps the loop as the set point is approached. Offset is climinntcd by reset iu the
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1 Selecting the Feedback Controller
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linear controller. FinalIy, noise of magnitude less than el will not actuate the on-off operator and therefore will be no more of a problem than in a linear system. Although complicated and costly, dual-mode control cannot be matched for performance.
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NONLINEAR TWO-MODE CONTROLLERS
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It has been demonstrat(ed that a loop whose gain varies inversely with amplitude is prone to limit-cycle. Any controller with similar characteristics can promote limit cycling in an otherwise linear loop. On-off controllers are in this category. So any nonlinear device that is purposely inserted into a loop for the sake of engendering stability must have the opposite characteristic: gain increasing with amplitude. The only stabilizing nonlinear devices discussed up to this point have this property -it was manifested as a dead zone in the three-state controller and as the linear mode in the dual-mode system. It is not difficult to .visualize a desirable combination of properties for a general-purpose nonlinear controller. In fact, the characteristics outlined for a dual-mode system apply: the controller should have high gain to large signals, low gain to small signals, and reset action. The variation of gain with error amplitude can be accomplished continuously or piecemeal.
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A Continuous Nonlinear Controller
It is possible to create a cont.roller with a continuous nonlinear function whose gain increases with amplitude. In contrast to the three-state controller, its gain in the region of zero error would be greater than zero, with integrating action to avoid offset. But its change in gain with amplitude should be less severe than that of a dual-mode system. T h u s it would be more tolerant of inaccuracy in the control parameters. The continuous nonlinear controller could be mathematically described by the expression
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