Abstract
Is investigated the single-channel two-mass system described by two second order differential equations. Is presented the technique of calculating the regulator for the object of the fourth order polynomial method. In the classic version of the synthesis method of the degree of regulator is chosen by one is less than of the degree of the denominator the object. In this case, the degree of regulator is chosen equal to four, but in the denominator of the regulator free term is set to zero to ensure astatic. To determine the parameters of the regulator are used special teams Matlab package. The simulation results are shown in graphs system transients. As a result of the modification method of calculating the regulator was able to reduce the overshoot compared with other works.

References
1. Voevoda A.A., Zhmud' V.A., Ishimtsev R.Y., Semibalamut V.M. The modeling tests of the new PID-regulators structures. Proceedings of the 18th IASTED International conference on applied simulation and modeling, ASM 2009, Palma de Mallorka, Spain, 7–9 September 2009, pp. 165–168.

2. Voevoda A.A., Shoba E.V. Upravlenie perevernutym mayatnikom [Man-agement of the inverted pendulum]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2012, no. 2 (68), pp. 3–14.

3. Voevoda A.A. Stabilizatsiya dvukhmassovoi sistemy: polinomial'nyi metod sinteza dvukhkanal'noi sistemy [Stabilization of two-mass system: polynomial method of synthesis of two-channel system]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2009, no. 4 (58), pp. 121–124.

4. Voevoda A.A., Voronoi V.V. Polinomial'nyi metod rascheta mnogokanal'nykh regulyatorov zadannoi struktury [Polynomial method for calculating multi-channel controllers of a given structure]. Nauchnyi vestnik Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Science bulletin of the Novosibirsk state technical university, 2013, no. 2 (51), pp. 214–218.

5. Voevoda A.A., Voronoi V.V. Modal'nyi sintez regulyatorov ponizhennogo poryadka metodom differentsirovaniya kharakteristicheskogo polinoma [Modal design of reduced order controllers by method of differentiation of the characteristic polynomial]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2011, no. 1 (63), pp. 3–12.

6. Bobobekov K.M., Voevoda A.A. Raschet parametrov regulyatora dlya stabilizatsii perevernutogo mayatnika po uglu otkloneniya [Calculation of controller parameters for the stabilization of the inverted pendulum by corner deviation]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2016, no. 3 (85), pp. 18–32.

7. Voevoda A.A. Stabilizatsiya dvukhmassovoi sistemy: modal'nyi metod sinteza s ispol'zovaniem polinomial'nogo razlozheniya [Stabilisation of two-mass system by a modal method of synthesis with polynomial factorization]. Nauchnyi vestnik Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Science bulletin of the Novosibirsk state technical university, 2010, no. 1 (38), pp. 195–198.

8. Bobobekov K.M. Ob osobennostyakh realizatsii dvukhparametricheskogo regulyatora stabilizatsii polozheniya mayatnika v srede Matlab [On the peculiarities of realization the two-parameter regulator of stabilization the position pendulum in environment MATLAB]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2016, no. 3 (85), pp. 115–130.

9. Chen C.T. Linear system theory and design. 3^rd ed. New York, Oxford University Press, 1999. 334 p.

10. Shoba E.V., Voevoda A.A., Voronoy V.V. Modal'nyi sintez mnogokanal'nogo regulyatora ponizhennogo poryadka s ispol'zovaniem "obratnoi" proizvodnoi [Modal synthesis of multi-channel low-order controller using the "reverse" derivative principle for three-mass system]. Nauchnyi vestnik Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Science bulletin of the Novosibirsk state technical university, 2012, no. 1 (46), pp. 15–22.

11. Bobobekov K.M., Voevoda A.A., Troshina G.V. The parameters determination of the inverted pendulum model in the automatic control system. XIII mezh-dunarodnaya nauchno-tekhnicheskaya konferentsiya "Aktual'nye problemy elek-tronnogo priborostroeniya" APEP-2016 [Proceedings of the XIII International Conference "Actual problems of electronic instrument engineering", (APEIE-2016)], Novosibirsk, 3–6 October 2016, vol. 1, pt. 3, pp. 180–182.

12. Voevoda A.A., Shoba E.V. Stabilizatsiya dvukhmassovoi sistemy: modal'nyi metod sinteza v prostranstve sostoyanii [Stabilisation of two-mass system: a modal method of synthesis with using state space]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2010, no. 1 (59), pp. 25–34.

13. Voevoda A.A., Shoba E.V. Stabilizatsiya trekhmassovoi sistemy: modal'nyi metod sinteza v prostranstve sostoyanii s nablyudatelem ponizhennogo poryadka [Stabilisation of three-mass system: a modal method of synthesis in state space with reduced-order observer]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2010, no. 4 (62), pp. 13–24.

14. Bobobekov K.M., Voevoda A.A. Polinomial'nyi metod sinteza PI(D)-regulyatora dlya neminimal'no fazovogo ob"ekta [Polynomial method synthesis of PI(D) regulator for non-minimum-phase object]. Sbornik nauchnykh trudov Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta – Transaction of scientific papers of the Novosibirsk state technical university, 2015, no. 4 (82), pp. 7–20.

15. Shoba E.V. Modal'nyi metod sinteza mnogokanal'nykh dinamicheskikh sistem s ispol'zovaniem polinomial'nogo razlozheniya. Diss. kand. tekhn. nauk [The modal method for the synthesis of multi-channel dynamic systems using a polynomial expansion. PhD eng. sci. diss.]. Novosibirsk, 2013. 192 p.

16. Voronoi V.V. Polinomial'nyi metod rascheta mnogokanal'nykh regulyatorov ponizhennogo poryadka. Diss. kand.tekhn. nauk [A polynomial method for calculating the multi-channel controllers low order. PhD eng. sci. diss.]. Novosibirsk, 2013. 173 p.

17. Doyle J.С., Francis B., Tannenbaum A. Feedback control theory. New York, Macmillan Publ., 1990. 198 p.