The analysis of the processes in remote control digital system with adaptive techniques of anti-interference on basis of the interval model representations, страница 4

15. Form dynamic observing device for aggregative discrete object (15) state vector in form

                                                                                  (27)

where dynamic observing device matrixes are being chosen on condition

                                                           (28)

                                                                                                                  (29)

                                                                                                                                     (30)

   - a majorization sign, meaning in solving task that observer state matrix modes are localized on coordinated localization circles’ complex plane in such way that localization circle of observer eigen values has smaller radius, than the radius of coordinated with it localization circle of discrete system state matrix mode.

16. Compute matrix  of conformity of observation vector  to state vector , assigned in form

                                                                                                               (31)

because of solution of Sylvester matrix equation

                                                                                                                    (32)

which in conjunction with (30) provides asymptotic convergence to zero of nullity observation vector ,

  ,                                                                           (33)

                                                                                                                    (34)

17. Form dynamic version of control law (25)

,                                                                                                (35)

18. Check service capability of synthesized digital remote control device and evaluate its dynamic characteristics in modeling environment MatLab

3. CONCLUSION

The efficiency of the offered procedure of the syntheses of the aggregative discrete object control law is proved by the fact that at variation of the system discrete interval, parameters are changing only  for discrete model of continuous technical object, so model presentation of aggregative discrete object in case of interval realization of interval discreteness will possess only one interval matrix component, which is a state matrix.

References

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2.         T.A. Akunov, S.A. Sudarchikov, A.V. Ushakov. The Syntheses of Photoelectric Watching System on the Basis of the Interval Model Representations. Part II. Syntheses of Control, Providing Stable Ellipse Readings of System Quality.//Machine building. 2004.T.47, Vol.5, pp. 17-23.

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4.         Nikiforov V.O., Ushakov A.V. Control in Uncertain Conditions: Sensitivity, Adaptation, Robustness. SPB: SPB GITMO (TU), 2002, 232 p..

5.         O.S. Osipceva, A.V. Ushakov. The Syntheses of Digital Remote Control Law of Continuous Object at Noises in Channel Medium. /Problems of Machine Science and Machine Building. Collection. - SPB.: SZTU, 2006, is.35.

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