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Adaptive system for controlling astatic object with delay. RU patent 2468406.

Adaptive system for controlling astatic object with delay. RU patent 2468406.
IPC classes for russian patent Adaptive system for controlling astatic object with delay. RU patent 2468406. (RU 2468406):

G05B13/02 - electric
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FIELD: physics.

SUBSTANCE: system includes a control object, a setter, three integrators, four adders, one coefficient unit, two multipliers and one nonlinear element.

EFFECT: broader functional capabilities of the system, providing stable and good quality of operation when adaptive, undamped and modulus-limited perturbation acts on an astatic object with delayed control.

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The invention relates to the automation and can be used in control systems static objects with delay, the parameters of which is unknown constant or slowly varying in time value, as measurement is only available output signal of the object, but not its derivatives.

The closest technical solution to offer is adaptive control system of a static object with delay [Patent RU 2288496, IPC C1 G05B 13/02, 2006.01]containing unit, the first adder, the object of regulation, integrator, the second adder, adaptive regulator and the output of the generator is connected summarizing the entrance of the first adder, the exit of the object of regulation is on the second subtractive entrance of the first adder, the output of the second adder is connected to the input of the integrator, the output of the integrator is connected with the corresponding subtractive entrance of the first adder and subtractive input of the second adder, the first entrance adaptive regulator is connected to the output of the generator, the second input of the adaptive controller receives a signal from the output of the first adder, exit adaptive regulator is connected to the input of the object of regulation and summing input of the second adder.

The disadvantage of this system is the poor quality of work or the loss of stability in the case of action on a static object with delay continuous in time and limited by module additive perturbation.

The objective of the invention is to expand the functional capabilities of the system, i.e. to ensure the sustainability and good quality of work under the action of a static object with delay management additive, continuous, bounded by module disturbance.

Summary of the invention consists in that into the system containing unit, the first adder, the first integrator, second the adder, the object of regulation, adaptive regulator, consisting of the first multiplier, the second integrator, third adder, the second multiplier, the linear part, formed by the fourth adder, the first block of job factors, the third integrator, while the output of the generator is connected to the first input of the first adder and with the first sign of adaptive regulator, with which the signal is simultaneously supplied to the second input of the first multiplier and to the second input of the second multiplier; the second input of the first adder's output is fed object of regulation, the output of the first adder is served on the second entrance adaptive controller from which the signal is on the first entrance of the first multiplier; output adaptive regulator must be submitted simultaneously to the input of object of regulation and on the first entrance of the second adder, the output of the second adder is connected to the input of the first integrator, the outputs of the first integrator comes to the second input of the second totalizer unit and at the third entrance of the first adder; the outputs of the second integrator is served on the first entrance of the third adder, the output signal of the third adder is served on the first entrance of the second multiplier, the output of the second multiplier is connected to the unit linear part adaptive regulator, where the signal is on the first entrance of the fourth adder, fourth adder is attached to a pulley job factors, the output of job factors connected with the third integrator and applied to the output of adaptive controller, the output of the third integrator is connected to the second input of the fourth adder, additionally introduces a nonlinear element type the dead zone, with the release of the first multiplier is served on nonlinear element, the outputs of the nonlinear element at the same time is supplied to the input of the second integrator and to the second input of the third adder.

Entering into the system of nonlinear element type dead band get a new function that is that ensures stability and good quality of work during the action on an object additive, continuous and bounded on module disturbance.

Figure 1 shows the block diagram of the proposed adaptive systems of automatic control; figure 2 - block diagram of adaptive regulator; figure 3 - block of the linear part of the adaptive regulator.

The system contains unit 1, the first adder 2, adaptive controller 3, the object of regulation 4, the first integrator 5, second adder 6, the linear part of the adaptive controller 7, the second multiplier 8, the third adder 9, the second integrator 10, nonlinear item 11, the first multiplier 12, the fourth adder 13, the first block of tasks of the coefficients 14, the third integrator 15.

The object of regulation describes the transfer function of the form

where p=d/dt is the operator of differentiation; t=const>0 is an unknown constant delay; R(p) and Q(p) - polynomials describing respectively the numerator and denominator of the transfer function Q(p) - Gurvitz polynomial.

Adaptive regulator consists of linear and nonlinear parts

where g(t) is the output of the nonlinear part; W L (p) is the transfer function of a linear part of adaptive regulator, which in our case has the form

where K>0, T>0, respectively gain coefficient and time constant link.

The output of the nonlinear part g(f) is generated as follows

where r is the output of the generator, c(t) is a parameter of the algorithm settings which is defined as follows

where c And a (t), P (t), respectively integral and proportional component settings.

Using the criterion of giprostrojjmost Popov it can be shown that the obtained system of automatic control will be sustainable if the parameters c And a (t), c P (t) is determined as follows

where h 1 h 2 >0 is a constant numbers that define the configuration of the adaptation process; q(t) is the output of the nonlinear element type the dead zone is equal to

where e(t) is the output of the adder 2; d is the size of the dead zone nonlinear element.

The system operates as follows.

Output signal U 1 =r unit 1 input signal at the summing input the first adder 2 and on the first entrance of the adaptive controller 3. The output of the first adder 2 a signal is generated U 2 =e, which goes to the second input of the adaptive controller 3. The control action U 3 =u output adaptive controller 3 submitted simultaneously to the input of object 4 of regulation, which may act additively, limited by module, but continuous perturbation f(t), satisfying the conditions

and summarizes the input of the second adder 6, on the subtractive which input signal U 5 =X 1 from the output of the integrator 5. In the second adder 6 signal is formed , u=const>0, supplied to the input of the integrator 5. On the second subtractive input the first adder 2 signal U 4 =y output object of regulation 4, on the third subtractive - with the first integrator 5. Thus, the first adder 2 provides the algebraic summation four signals U 2 =U 1-U 4-U 5 =e with the corresponding coefficients U 2 =r-y b-X 1,?=const>0.

Functional scheme of adaptive controller 3 is shown in figure 2.

The output of the first adder 2 connected to the first input of the first multiplier 12, the second input of the first multiplier 12 is connected to the output of unit 1, the signal 12 U =e·r with the first multiplier of 12 fed to the input of the nonlinear element 11 type the dead zone, the signal U 11 =q(t) with the output of the nonlinear element comes together at the entrance of the second integrator 10 and to the second input of the third adder 9, the first entrance to the third adder 9 is connected to the output of the second integrator 10. Thus, the third adder 9 performs algebraic addition of two signals with the corresponding coefficients U 9 =U 10 +U 11 =c(t)=h 1 ·∫q(t)dt+h 2 ·q(t). The output of the third adder 9 is connected to the first input of the second multiplier 8, the second input of the second multiplier 8 is connected to the output of unit 1. The output of the second multiplier 8 signal is formed 8 U =g, which is fed to the input unit of the linear part of the adaptive controller 7.

Functional block circuit linear part 7 adaptive controller is given in figure 3.

The outputs of the second multiplier 8 comes on the first summarizing the entrance of the fourth adder 13, on the second subtractive entrance fourth adder 13 with the corresponding factor of 1/K signal from the third integrator 15, at the entrance to the third integrator 15 signal from the output of the first block of the task of the coefficients 14, in the first block of the task of the coefficients 14 is the multiplication of a signal from the output of the fourth adder 13 at the K/t The output of the first block of setting coefficients 14 is the output of the linear part of the regulator 7 and exit adaptive controller 3, i.e. generates signal U 3 .

The technical result consists in expanding the functional possibilities of the system, i.e. to ensure the sustainability and good quality of work under the action of a static object with delay management additive, continuous, bounded by module disturbance.

This device can be implemented industrially based on the standard elementary base.

Adaptive control system of a static object with delay containing unit, the first adder, the first integrator, the second adder, the object of regulation, adaptive regulator, consisting of the first multiplier, the second integrator, third adder, the second multiplier, the linear part, formed by the fourth adder, the first block of job factors, the third integrator, while the output of the generator is connected to the first input of the first adder and with the first sign of adaptive regulator, with which the signal is simultaneously supplied to the second input of the first multiplier and to the second input of the second multiplier; the second input of the first adder's output is fed object of regulation, the output of the first adder is served on the second entrance adaptive controller from which the signal is on the first entrance of the first multiplier; output adaptive regulator must be submitted simultaneously to the input of object of regulation and on the first entrance of the second adder, the output of the second adder is connected to the input of the first integrator, the outputs of the first integrator comes to the second input of the second totalizer unit and at the third entrance of the first adder; the outputs of the second integrator is served on the first entrance third adder, the output signal of the third adder is served on the first entrance of the second multiplier, the output of the second multiplier is connected to the unit of the linear part of the adaptive regulator, where the signal is on the first entrance of the fourth adder, fourth adder is attached to a pulley job factors, the output of job factors connected with the third integrator and applied to the output of adaptive controller, the output of the third integrator is connected to the second input of the fourth adder, characterized in that it further introduces a nonlinear element type the dead zone, the yield the first multiplier is served on nonlinear element, the outputs of the nonlinear element at the same time is supplied to the input of the second integrator and to the second input of the third adder.

 

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