A method and device for approximating pure hysteresis with high accuracy

Abstract

The invention discloses a method and a device for approximating pure delay with high accuracy. The method includes the following steps: multiplying a signal to be processed by a preset first constant0.1 to obtain a first output signal; performing five consecutive first-order inertia inverse operations on the signal to be processed through a preset first-order inertia inverse operation formula; calculating the sum of the first output signal, a second output signal, a third output signal, a fourth output signal, a fifth output signal and a sixth output signal; performing fifth-order inertia operation on a seventh output signal through a preset fifth-order inertia operation formula; performing four consecutive first-order inertia operations on a ninth output signal through a preset first-order inertia operation formula; calculating the sum of a tenth output signal, an eleventh output signal, a twelfth output signal and a thirteenth output signal; and multiplying an output signal of the subtraction by a preset second constant 0.98039 to obtain an output signal of high-accuracy approximated pure delay. The technical problem that the approximation error of pure delay is large as pure delay is approximated by a first-order inertial link only is solved.

Description

technical field [0001] The invention relates to the technical field of automatic control, in particular to a method and device for approximating pure hysteresis with high accuracy. Background technique [0002] In model-dependent control methods, such as PID plus Smith predictor control methods, it is necessary to identify accurate models of the plant including accurate pure-lag models. The main feature of the pure hysteresis model is that there is no output during the pure hysteresis period. An obvious negative effect of the pure hysteresis model is the jumping problem of the controller output. In some process control systems that have high requirements on the output control amount, it is a problem that needs to be dealt with. The problem. [0003] At present, one of the ways to solve the jump problem is to use only the first-order inertial link to approximate the pure lag, but there is a technical problem that the pure lag approximation error is large. Contents of the i...

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Problems solved by technology

[0004] The invention provides a method and device for approximating pure hysteresis with high accuracy, which solves the technical problem that the pure hysteresis approximation error is relatively large when only the first-order inertial link is used to approximate pure hysteresis

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