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Combined adaptive control system for nonstationary dynamic objects with observer. RU patent 2474858.

Combined adaptive control system for nonstationary dynamic objects with observer. RU patent 2474858.
IPC classes for russian patent Combined adaptive control system for nonstationary dynamic objects with observer. RU patent 2474858. (RU 2474858):

G05B13/02 - electric
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FIELD: physics.

SUBSTANCE: system, having a status observer, a coefficient unit, a first adder unit, a first multiplier, a second adder unit, a delay unit, series-connected second multiplier and adjustment unit, additionally includes an integrator and a third adder unit.

EFFECT: providing operating capacity and asymptotic stability when controlling a priori undefined unstable dynamic objects of periodic action.

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The invention relates to the technical Cybernetics and can be used for automatic control of the nonstationary scalar priori uncertain dynamic objects of cyclic action.

The closest to the proposed technical solution is adaptive control system for dynamic objects with periodic coefficients and the observer (RF Patent №2429516, Official Bulletin. «The invention. Utility models». - 2011, no 26, prototype)containing observer status, block of setting the coefficients of the first block of summation, the first multiplier, the second block summation, the delay unit, connected in series the second multiplier and the object of the regulation, the output of which is connected with a second entrance observer status, input block job factors are connected to the corresponding outputs observer status, inputs of the first unit of summation connected to the outputs of the unit job coefficients, the output of the first block of summation is connected with the first and second inputs of the first multiplier and the second input of the second multiplier, the first input of the second block of the summation is connected to the first multiplier, second entrance to the exit delay block, the output of the second block of summation was connected to the first input of the second multiplier and with the input of the delay block, the output of the second multiplier connected to the input of a control object and to the first input of observer status.

However, the disadvantage of this system is the loss of performance in case management priori uncertain unstable dynamic objects.

Technical problem which the claimed invention is to expand the functional capabilities of the system, i.e. ensuring the efficiency and asymptotic stability in the management of a priori uncertain unstable dynamic objects of periodic action.

Solution of the problem is due to the fact that in a system containing an observer state block of setting the coefficients of the first block of summation, the first multiplier, the second block of the summation, the delay unit, connected in series the second multiplier and the object of the regulation, according to invention, additionally there is the integrator and the third block summation, and the output of a control object is connected with a second entrance observer status, the outputs of which are connected to the respective inputs block job coefficients, inputs of the first unit of summation connected to the outputs of the unit job coefficients, the output of the first block of summation is associated with both entrances of the first multiplier, as well as the second input of the second multiplier, the first input of the second block of the summation is connected to the first multiplier, the second entrance is associated with exit delay block, the output of the second block summing connected to the second input of the third unit of summation and the input of the delay block, the first input of the third unit of summation is connected to the output of the integrator, the input of which is connected to the output of the first multiplier, the output of the third unit of summation is connected to the first input of the second multiplier, the output of the second multiplier connected to the input of a control object and to the first input of observer status.

Due to the introduction of the integrator and the third unit of summation is provided asymptotic stability system when the management of a priori uncertain unstable objects in periodic modes.

The essence of the invention is illustrated by drawings, where the figure 1 shows the block diagram of the system; figure 2 illustrates the block diagram of the observer status. The system contains an object of regulation 1, the observer status 2, block job coefficients of 3, the first block of summation 4, the first multiplier 5, the second power summation 6, the delay unit 7, integrator 8, the third block summation 9, the second multiplier 10, y, u are the scalar output and control action of the object of regulation, - the value of internal state of the object of regulation (derivatives of the scalar output y).

The object of the regulation is described by the equation

Equations of dynamics of a stationary NA have a view

Here x(t) be an n-dimensional vector object state regulation;

- an n-dimensional vector the status of observer, the corresponding estimates inaccessible state variables x(t);

A(t+T), b(t+T), respectively nonstationary matrix status (unstable) and vector control with a-periodically varying coefficients;

the matrix is the status of observer;

0 - Hurwitz matrix;

N - matrix of observations;

y(t) is a scalar value of the control object;

* - symbol of transposition;

, L* =(1,0,...,0) - stationary vectors;

u(t) is a scalar control action, satisfying relationship:

where ^ lane (t) - custom ratio control loop;

^ Rob (t) - robust part regulator (3)

- some n-dimensional vector block of tasks of the coefficients of 3, such that the polynomial - ;

s is a complex variable.

Using the criterion .., one can show that the asymptotic stability in the system of management is ensured by the implementation of algorithms contour (3) in the form:

where C 0 , γ 1 =const>0.

The system operates as follows.

Y signal from the output of a control object 1 enters the second entrance observer status 2 (structural scheme is presented in figure 2), the first input there is a control signal u. The signal from the second entrance observer status 2 is at the second entrance of the block of comparison, 13, first entrance which is supplied to the integrator output 12 1 . Inside Comparer 13 calculates a difference filed on him signals. Signal u from the first entrance observer status 2 is served on the first entrance of the block summation 11 n (n is the dimension of the state vector of the object of regulation 1), the second input of the block summation 11n comes output signal block comparisons 13 with the corresponding coefficient. On the other n inputs block summation 11 n go signals from outputs integrators 12 i (i=n, n-1, ..., 1) with the corresponding coefficients. Output signals integrators 12 i , the corresponding estimates inaccessible state variables , proceed, firstly, to the appropriate outputs observer status 2 and, secondly, on the input blocks summation 11 j (j=n-1, ..., 1). On the second inputs blocks summation 11 j signals are output block 13 comparison with the corresponding coefficients. Signals from the outputs of the observer status 2 proceed to the appropriate inputs block job coefficients of 3, a multiplication of the signal from the i-th input by a constant factor. The output signals of the block job coefficients 3 enter the inputs of the first unit of summation 4, where are added. The output signal of the first unit of summation 4 goes to both inputs of the first multiplier 5 and the second input of the second multiplier of 10. On the first entrance of the second block of summation 6 with the suitable ratio signal with the release of the first multiplier 5, the second input of the second unit of summation 6 goes output signal delay block 7. Output signal of the second block of summation 6 is fed to the second input of the third unit of summation 9 and input of the delay 7. On the first entrance of the third block summation 9 with the corresponding coefficient of the signal from the output of the integrator 8 on the input signal from the output of the first multiplier 5. The output signal of the third unit of summation 9 is on the first entrance of the second multiplier of 10. The output signal of the second multiplier 10 assigned to the scalar control u arrives at the input of a control object 1 and on the first entrance of the observer status 2.

The technical result consists in expanding the functional possibilities of the system, namely ensuring its efficiency and asymptotic stability in periodic management regimes priori uncertain unstable dynamic objects.

This device can be realized in the industrial way on the basis of standard components.

Combined adaptive control system for non-stationary dynamic objects with the monitor containing the observer status, block job coefficients, the first and second units of summation, the first and second multipliers, block delay, the object of the regulation, the output of which is connected with a second entrance observer status, the outputs of which are connected to the respective inputs block job coefficients, inputs of the first unit of summation connected to the outputs of the unit job coefficients, the output of the first block of summation is associated with both entrances of the first multiplier, as well as the second input of the second multiplier, wherein the additionally introduced integrator and the third block summation, the first input of the second block of the summation is connected to the first multiplier, the second input is connected to the output of the driver delay, the output of the second block of summation connected to the second input of the third unit of summation and the input of the delay block, the first input of the third unit of summation is connected to the output of the integrator, the input of which is connected to the output of the first multiplier, the output of the third unit of summation is connected to the first input of the second multiplier, the output of the second multiplier connected to the input of a control object and to the first input of observer status.

 

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