Contract for the identification of dynamical characteristics of multidimensional objects of management and of multiply ACCORDING passive experiment

Authors identification method ASVT51 Tibabishev VN and SV Tibabishev (the Contractor) publishes this "Agreement for the identification of dynamical characteristics of multidimensional objects of management and of multiply ACCORDING passive experiment" (the Agreement), which is a public contract - an offer (proposal) to both individuals and legal entities (the Customer ).

The fact of the expulsion Customer NIC materials prepared in accordance with 2.2.2 of this Agreement is the complete and unconditional acceptance (adoption) the terms of this Agreement and all its Annexes, ie fulfilling the customer 2.2.2 of this Agreement, in accordance the Civil Code of the Russian Federation, regarded as a person with the Contractor entered into a contractual relationship.

At the written request of the Customer, the Contractor shall execute a contract signed by the parties, equivalent to the present Agreement.

The text of the Agreement, may be amended by agreement of the parties.

1.Subject CONTRACT

1.1. Artist produces work to identify the dynamic characteristics of multiply and multidimensional control objects on the basis of the initial data provided by the Customer and the Customer gives a mathematical model according to the order of registration and the technical specifications in the Annexes ¹ P2.

2. OBLIGATIONS OF THE PARTIES

2.1. CONTRACTOR COMMITMENTS

2.1.1. Contractor shall, in terms of the contracting parties agreed to carry out work to the extent provided for in Annex ¹ P2.

2.1.2. Contractor shall not, without the consent of the customer, transfer, anyone had or used for 3rd party any materials obtained from the Customer, except as permitted by law.

2.1.3. Contractor has the right to publish publicly the results of their labor, provided that the customer does not have a written ban or restrictions on such publication within one month after receiving the results of the identification of at least one channel of the object management.

2.1.4. The Contractor may terminate the contract if the initial data provided by the customer does not meet the requirements set out in Annex ¹ P1, or other circumstances which have the character of "force majeure". Of its decision and the reasons prompting the Contractor is obliged to inform the customer.

2.1.5. Contractor reserves the right to refuse to perform work on the identification, where previously had negative results on similar facilities management.

2.2. Customer's obligations

2.2.1. The customer has the right to take advantage of any materials obtained from the Contractor in accordance with applicable legislation, as well as a copyright, patent and other rights of the Contractor.

2.2.2. The Customer shall provide the Contractor with the original data. In the preparation of the initial data Customer shall strictly comply with all requirements set out in Annex ¹ P1. Could not be met at all or part of at least one requirement for the preparation of input data The customer is obliged to inform the Contractor.

2.2.3. After using the materials provided by the Contractor, the customer is obliged to conduct a qualitative and quantitative assessment of efficiency derived from a mathematical model of the Customer object management in a period not exceeding one month. of the receipt of the assessment to provide it to the Contractor.

3. PAYMENT.

3.1. The task of identifying the dynamic characteristics of the method ASVT51 solved and paid separately for each specified channel customer management. Let the system under study contains 4 inputs Xi, i = 1, 4, and 3 outputs Yk, k = 1,3. Customer must send the synchronous implementation of all of recorded inputs. If the customer with access to channels such as, Y3 no interest from it can not expel the implementation output Y3. With these data it is possible to determine the dynamic characteristics of the 4 * 2 = 8 control channels. Of these 8 channels the customer can choose to deal with, for example, only 3 channels control: X1-Y2, X2-Y2 and X4-Y1. Artist The identification problem only for the 3-channel control. The estimate includes a fee for each identified channel. Fee $ P in U.S. dollars for the channel identified given by $ P = $ 10 * Nik $ 20, where Nik - order differential equation found the control channel between the inlet and the outlet i k. The addition of $ 20 for the definition of the transport delay and order astatism. The customer takes the sum of the solution of the identification of the specified account. At the end of transfer points

Purpose of translation: payment for the solution of the problem of identification (necessarily indicate)

All expenses incurred by the Customer in the preparation of initial data, model verification, it is transferred to the address of the Contractor, as well as receive from the Contractor any materials fall on the customer. All costs incurred by the Contractor related to the identification, acquisition and shipment to the Customer the necessary materials borne by the Contractor. In cases of need for special expenses (eg acquisition of specific equipment, modernization of equipment, etc.) of the support, these costs may include all or part of them to the other side only after prior agreement, in other cases these costs are borne by the parties to which they suffered.

4. DISCLAIMER

4.1. CUSTOMER ASSUMES FULL RESPONSIBILITY AND RISK FOR THE USE OF THE MATERIALS OBTAINED FROM THE ARTIST.

4.2. Under no circumstances shall have no liability for any direct or indirect damage caused to the Customer or any third party resulting from the use of any materials submitted by the Contractor. Customer agrees not to make the Contractor defendant or respondent for any liabilities and expenses arising from the use of any materials of the Contractor.

5. TROUBLESHOOTING AND DISPUTE NOT PROVIDED HEREIN SHALL

5.1. In all other matters not expressly provided in this Agreement shall be governed by the legislation of the Russian Federation and the legislation of the country of resident customer, international legal acts.

5.2. In the case of outstanding claims between the parties, each of them to defend their rights violated in the manner prescribed by the legislation of the Russian Federation, the countries of the resident customer and international law.

6.OBSTOYATELSTVA GOD

6.1.Ni party shall be liable for the total or partial failure to fulfill its obligations under this Agreement if such failure was due to force majeure: floods, fires or other natural disasters, transportation disasters, strikes, war, blockade, changes in the system taxation and customs regulations, changes in the applicable legislation, injunctions or other Russian state.

6.2.Esli one of force majeure will affect the performance of obligations under this Agreement, the terms of their performance shall be extended for the duration of the force majeure. The party to which the fulfillment of obligations under this Agreement has become impossible due to force majeure, shall as soon as possible to inform the other party of the beginning, duration and timing of the termination of the force majeure.

* Due to the fact that the text of the agreement is subject to change, we ask you to direct shipment of materials to the Contractor, to get acquainted with its last edition on our website.

Appendix "Contract for the identification of dynamical characteristics of multidimensional and of multiply FACILITIES MANAGEMENT ACCORDING passive experiment"

APPENDIX ¹ 1. REQUIREMENTS FOR MATERIALS expel NIC

All materials submitted in electronic form shall be prepared on an IBM-compatible computer and consist of

- Text file (format MS WORD) in any form containing a brief verbal description of the object control of its use, as well as other significant from the point of view of the customer information. Information must not contain information falling under the term "classified information".

files containing raw data prepared in accordance with the following requirements.

A.1.1. All implementations of the input and output signals of the control channels to be recorded simultaneously, in the normal functioning of the real multidimensional and object management of multiply on the observation interval, when the proper motion of the object can be neglected. Be excluded from the implementation of its own motion of an object management, observed after the control object to the work. Are not given the initial data obtained by mathematical modeling.

Clause 1.2. Allowed to provide baseline data on A.1.1 for the one object of control. In the cover letter must cite that source data transmitted owned one-dimensional control.

Clause 1.3. Number of realizations of input signals A.1.1 must necessarily be equal to the actual number of controlled entrances to the multidimensional and object management of multiply. For example, a control has 5 inputs and 5 outputs, which in the normal functioning of the observed non-zero signals. Customer interested in the dynamic characteristics of only the first three inputs and outputs. Despite this, the customer is obliged to send to the Contractor's implementation of all input signals observed in the five entrances. Implementation of signals observed in the last two outputs, the Customer may not send.

Clause 1.4. Software package, which implements the method of identifying ASVT51, designed for the identification of multiply and multidimensional control objects, which have a maximum of 10 inputs and 10 outputs. If the customer requires more dimension to the input or output, the Contractor may, by prior arrangement with the customer to adapt your application package to the necessary dimensions.

A.1.5. All discrete samples implementations signals must be in digital form on any of the three types (double, float, int) for the numbers defined in the programming language C or C++

P.1.6. Digitizing the analog input and output signals of the sensors must exclude some disturbance generated by the substitution frequencies. For this purpose between the sensor and the input of the ADC must be set to analog low-pass filter (LPF), shielded from external interference. The first sampling rate must be at least twice the frequency with which the low-pass filter almost completely suppresses high frequency components of signals on a finite observation interval. Discrete samples filtered digital output low pass filter with a bandwidth not exceeding the bandwidth of the analog sensor. Output ADC is not all discrete samples, and certain of the account (decimation)..

P.1.7. The sampling rate Fkv after decimation should be equal Fkv = 21Fv, where Fv - limiting frequency spectrum of the original signal. This is the optimal sampling frequency in terms of the best combination of price and quality measurement of the boundary of the harmonic component of the generalized velocity. It is 10.5 times higher sample rate, determined by Theorem Kotelnikov. Not allowed to decrease below the sample rate equal 10Fv. Implementations should not signal harmonics with frequencies equal to Fv and higher frequencies.

P.1.8. The frequency characteristics of the analog low-pass filter installed between the sensor and the ADC input and output of the identified control channel must have the same frequency transfer functions. Not doing so will cause a systematic error in the determination of the dynamics of the investigated control channels that are difficult to interpret.

P.1.9. Primary sensors analog signals must be linear and without inertia elements in each control channel. Not doing so will cause a systematic error in the determination of the dynamics of the investigated control channels that are difficult to interpret.

1.10. If the customer can not meet the condition for P.1.8 and P.1.9, then the need for dynamics control channel without affecting the dynamic properties of the analog low-pass filters and sensor signals, the Client NIC sends the values of frequency transfer functions of analog low-pass filters and frequency values transfer functions of sensor input and output signals of the control channel is identified, taken at the frequency specified by the Contractor.

P.1.11. Customer prepares raw data to be sent to the Contractor by the training data PODAN51z.exe (the Program), developed by the Contractor.

P.1.12. For a correct solution of the problem of verification by mathematical models and multidimensional object management of multiply indirect method according to the passive experiment to use the new implementation synchronously recorded input and output signals that are independent of synchronization of recorded input and output signals, used earlier to solve the identification problem. With the agreement on the solution of the problem of verification Customer sends NIC new source data satisfying the above mentioned requirements and the requirements described in the Appendix ¹ 3.

APPENDIX ¹ 2. Procedure for resolving problems of identification of the amount of information provided to customers by the CONTRACTOR.

A.2.1. Contractor shall perform the preliminary analysis of the raw data from the Customer for each control channel. , The preliminary assessment:

- The necessary duration implementations signals

- Meet the requirements set out in P.1.7;

- Applicability of ASVT51 to identity-management.

Artist sends to a designated e-mail customer, the results of the preliminary analysis. If the duration of implementation is insufficient, will be sent to the Customer recommended value. The Identification Problem not solved, if the correction of the digitization are not met the requirements described in P.1.7.

2.2. Artist defines the necessary conditions and the identification of multiply multidimensional object management method ASVT51. The Identification Problem not solved, if the resulting set of input signals can not select a subset of independent components of the input signals. In this case, the Contractor shall inform the customer about the possibility of not solving the problem of identification from the data passive experiment.

II.2.3. For each channel, control the work is done to determine the sufficient conditions of identifiability by ASVT51.

A.2.4. If the necessary and sufficient conditions for the identifiability of the dynamic characteristics of the method ASVT51 solve their problem identification. The estimate of availability and value of the transport delay the output signal relative to the input signal. It orders (no higher than fifteenth) and the values of the coefficients of the ordinary differential equations, which in the first approximation (in the class of linear time-invariant models) can describe the dynamics of each channel is identified by the control object, without the influence of managers with pure delay signal.

2.5. Found by the differential equation and the value of the transport delays are on 2000 or 4000 values of amplitude and phase frequency response of the real and imaginary components of the frequency of the transfer function for each identified control channel. Performed preview the graphs of all the frequency characteristics.

2.6. Identification results for each identified channel sent by e-mail in a folder named channel that contains the file VT51.dan. The file structure is written:

struct otv / / response ASVT

{

double prz; / / Signs describing the results of the analysis of initial data, for example, if prz = 4, then, the condition A1.7 contract

char EAB [80] / / text messages, the sign prz

char RC [80] / / text messages

char DI [80];/ / Text Messaging

double VT1 [20];/ / Inside information: the dimension of arrays, the range of frequencies.

double VU2 [20];/ / Reserved

double VM [20];/ / coefficient differential equation / / VM [0] - VM [14] The net lag VM [18], the order / / differential equations VM [19].

char adres [50];/ / Email Customer

char pass [8];/ / channel name identification

} tvn;

Clause 2.7. The customer receiving the file VT51.dan, to copy it to the appropriate channel name folder and run PODAN51z.exe when viewing the results of identification. As a result of the program will appear in your channel arrays for the following frequency characteristics with numerical data for 2000 or 4000 values:

F.dan - an array of frequencies;

P.dan - an array of the actual components of the frequency of the transfer function;

Q.dan - an array of imaginary components of the frequency of the transfer function;

ACX.dan - an array of frequency response;

FCX.dan - an array of phase-frequency response;

TDY.dan - coefficients of the differential equation

INF.txt-order information and the coefficients of the differential equation, the value of the transport delay and order astatism in text format

Files with the prefix L (LACX.dan, LP.dan, LQ.dan) are used to view graphs in relative logarithmic scale.

All files with the extension. Dan numeric value represented by format double, adopted in C or C. Another frequency band, and a different number of values specified by the Customer in the mode conversion of values of all the frequency characteristics using PODAN51z.exe.

APPENDIX 3. Verification of identification.

Verification - translated from Latin means - the authenticity of the certificate. Solutions to the problem of verification of dynamic characteristics of a control depend on a priori information about the exact dynamic characteristics, dimensions and mnogosvyazannosti facility management as well as the method of obtaining the source data. Consider the problem of verification on a one-dimensional linear stationary control object according passive experiment. Verification is performed by the direct method when you know the mathematical model of the object management. Verification of the direct method is performed by comparing the true mathematical model of control object with a mathematical model, the resulting identification. Direct verification method is applied, as a rule, the solution of test problems of identification when used deliberately known mathematical model of the object management and mathematical models of the observed signals. In the real world solution to the problem of verification is complicated by the fact that there is no a priori information about the exact mathematical model of the object management. In such conditions, the verification can be done indirectly. After solving the problem of identification becomes known mathematical evaluation model of the object. For a known input signal and evaluate the mathematical model of the dynamic characteristics of the control object can be calculated to find an estimate output. By the degree of agreement between the calculated and the actual output is judged on the degree of overlap identified mathematical model with its exact value. However, there are cases where the coincidence output rating of the mathematical model can arbitrarily very different from its true value. It is easy to show that this phenomenon can occur when the indirect method for verifying the input signal is used, which was used to solve the problem of identification.

For a correct solution of the indirect method of verification is necessary that the spectrum of the input signals to be used for solving the problem of identification and verification tasks that generate different ideally orthogonal to each other spectral functions. Orthogonal spectral functions generate orthogonal, and, therefore, are independent random processes.

In solving the problem of verification of multiply and multivariate control object indirect method according to passive experiment to use the implementation of the signals, which are observed at all the entrances. In this case, a plurality of input signals to be used to solve the problems of identification and verification should be a set of independent random processes.

APPENDIX 4.

Terms

- Process - this change certain properties of any event in the function of time.

- Signal - a process that has been converted into electrical form suitable for further processing.

- Channel management - a device of any kind, for which the selected one monitored input and a controllable output that shows a lot of non-zero input processes on a different set of non-zero output processes.

- Multivariate control object - the object of control, which has a number of control channels.

- Facilities management of multiply - Multidimensional control objects whose intersection of output processes all channel management is not empty, the intersection of all non-zero input processes is empty.

- Key or direct control channels - channels control, in which the input and output processes determine the changes of the same property, for example, the input process is determined by a given bank the plane, and the output process determines the actual roll plane.

- Cross-channel control - control channels, in which the input and output processes determine changes in various properties such as the input process by a specified bank the plane, and the output process determines the actual rate of the aircraft.

- Identification of the dynamic characteristics of the object of control channel in a narrow sense - the definition of the operator in the selected class of mathematical models that displays multiple input multiple output processes to processes, the realizations of the synchronous pair of input and output signals.

- Data passive experiment - the implementation of the input and output signals produced during normal operation of the control object.

- Simultaneous recording - simultaneous record implementations of input and output signals of all control channels.

- Verification of the direct method - an assessment of the degree of overlap of the operator resulting from identification with the exact operator selected control channel in a given class of mathematical models. Verification of the direct method is used, as a rule, the solution of test problems, when there is a priori information about the exact in a given class operator to select the control channel.

- Verification of the indirect method of single channel and multi-dimensional object management of multiply according passive experiment - an assessment of the degree of overlap of the operator selected control channel, the resulting identification, the actual operator of the corresponding control channel. Assessment of the adequacy of the model operator selected channel management is performed by the degree of overlap of signals observed at the output of the selected channel control object and its mathematical model, where all inputs control object and its mathematical model provides the relevant inputs.