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Adaptive control system of astatic object with time delays. RU patent 2513847.

Adaptive control system of astatic object with time delays. RU patent 2513847.
IPC classes for russian patent Adaptive control system of astatic object with time delays. RU patent 2513847. (RU 2513847):

G05B13/02 - electric
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FIELD: instrumentation.

SUBSTANCE: invention can be used in control systems of astatic objects with time delays, the parameters of which are unknown constant or slowly time-varying magnitudes, and only output signal of the object, not its derivatives, is available for measurement. To do this, the system comprises a controlled object, a setup unit, three integrators, five adder units, one coefficient unit, two multipliers.

EFFECT: providing sustainability and good quality of work of the control system under the action on the astatic object with time delays of controlling additive, persistent limited in modulus disturbance.

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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 his derivatives.

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

Summary of the invention consists in that into the system 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, the third adder, the second multiplier, the linear part of the adaptive regulator, consisting of the fourth adder, block job ratios, third integrator, while the output of the generator is connected to the first summarizing the entrance of the first adder and with the first entry adaptive controller connected to the second input of the first multiplier and with the second input of the second multiplier; the second subtractive input the first adder associated with the release of the object of regulation, the output of the first adder is associated with a second entrance adaptive controller, which is connected to the first input of the first multiplier; exit adaptive regulator is connected to the input of object of regulation and with the first summarizes the input of the second adder, the output of the second adder is connected to the input of the first integrator, the output of the first integrator associated with the second subtractive input of the second adder and third subtractive entrance of the first adder; the output of the second integrator related to the first summarizing the entrance to the third adder, the output of the third adder connected to the first input of the second multiplier, the output of the second multiplier is connected to the input of the linear part of the adaptive controller; the entrance of the linear part of the adaptive controller is connected to the first summarizing the 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 is the output of adaptive controller, the output of the third integrator is on the second subtractive entrance fourth adder, additionally introduced the fifth adder, with the release of the first multiplier associated with the first sum of the entrance of the fifth adder, the second subtractive entrance fifth adder associated with the release of the third adder, the output of the fifth adder connected simultaneously with the input of the second integrator and the second summarizing the entrance to the third adder.

Entering into the system of the fifth adder, get in her 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. Adaptive controller 3 consists of the linear part 7, of the second multiplier 8, the third adder 9, the second integrator 10, fifth adder 11, the first multiplier 12. The linear part of the adaptive controller 7 consists of the fourth adder 13, block job coefficients 14, third integrator 15.

The object of regulation describes the transfer function of the form

W o ( p ) = R ( p ) x e - p x t Q ( p ) x p , ( 1 )

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

Adaptive regulator consists of linear and nonlinear parts

u ( t ) = g ( t ) x W L ( p ) , ( 2 )

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

W L ( p ) = K x p T p + 1 , ( 3 )

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

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

g ( t ) = c ( t ) x r , ( 4 )

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

c ( t ) = ( c And ( t ) + c P ( t ) ) , ( 5 )

where c And a (t), c 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) be defined as

{ d c And ( t ) d t = h 1 x q ( t ) , c P ( t ) = h 2 x q ( t ) , ( 6 )

where h 1 and h 2 >0 is a constant numbers that define the configuration of the adaptation process; q(t) is the output element, performs operations

q ( t ) = e ( t ) x r - Δ x c ( t ) , ( 7 )

where e(t) is the output of the second adder 2; M=const>0.

The system operates as follows.

Output signal U 1 =r unit 1 input signal is routed to the first 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

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f ( t )

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2 ≤ E 0 , E 0 = c o n s t > 0, ( 8 )

and on the first summarizes the input of the second adder 6, on the second 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 6 = X 1 = u - m x X 1

, mu=const>0 is 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 -?·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 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 12 routed to the first summarizing the entrance of the fifth adder 11, signal U 11 =q(t) with the output of the fifth adder goes simultaneously at the entrance of the second integrator 10 and on the second summarizes the entrance to the third adder 9, the first summarizing the 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 x ∫ q ( t ) d t + h 2 x q ( t )

. The output of the third adder 9 is connected to the first input of the second multiplier 8 and the second subtractive fifth adder 11, 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 entrance 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 job coefficients 14, block job coefficients 14 happens multiplication of a signal from the output of the fourth adder 13 factor To/Etc Exit block jobs coefficients 14 is the output of the linear part of the regulator 7 and exit adaptive controller 3, i.e. generates signal U 3 =u.

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 by industrial way, on the basis of 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, second multiplier, the linear part educated fourth adder, block job factors, the third integrator, while the output of the generator is connected to the first summarizing the entrance of the first adder and with the first sign of adaptive regulator, the first entrance adaptive regulator is connected with a second entrance the first multiplier and with the second input of the second multiplier; the second subtractive input the first adder associated with the release of the object of regulation, the output of the first adder is associated with a second entrance adaptive regulator, the second entrance adaptive regulator is connected to the first input of the first multiplier; exit adaptive regulator is connected to the input of the object of regulation and summarizing the first input of the second adder, the output of the second adder is connected to the input of the first integrator, the output of the first integrator is on the second subtractive input of the second totalizer unit and with the third subtractive entrance of the first adder; the output of the second integrator is connected with the first summarizing the entrance to the third adder, the output of the third adder connected to the first input of the second multiplier, the output of the second multiplier is connected to the input of the linear part of the adaptive regulator, the input unit of the linear part of the adaptive controller related to the first summarizing the 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 is the output of adaptive controller, the output of the third integrator is on the second subtractive entrance fourth adder, wherein the additionally introduced the fifth adder, with the release of the first multiplier associated with the first sum of the entrance of the fifth adder, the second subtractive entrance fifth adder is connected to the output of the third adder, the output of the fifth adder simultaneously connected to the input second integrator and with the second summarizes the entrance to the third adder.

 

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