{"references": ["1.\tBesekersky V.A., Popov E.P. Theory of automatic control systems / V.A. Besekersky, E.P. Popov. - Edited and revised, 4th edition - Sankt-Peterburg: Publishing house \"Profession\", 2003, pp.752. 2.\tIgamberdiev H. Z., Sevinov J. U., Boeva O. H. Sustainable algorithms for selecting feedback in dynamic object management systems //Journal of Advanced Research in Dynamical and Control Systems. \u2013 2020. \u2013 \u0422. 12. \u2013 \u2116. 7 Special Issue. \u2013 \u0421. 2162-2166. 3.\t\u0411\u043e\u0435\u0432\u0430 \u041e.\u0425. \u0420\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0430 \u043f\u0440\u044f\u043c\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u043c\u043e\u0434\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0432\u043e \u043c\u043d\u043e\u0433\u043e-\u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445 // \u041d\u0430\u0443\u0447\u043d\u043e\u2013\u0442\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0436\u0443\u0440\u043d\u0430\u043b \u00ab\u0420\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u043d\u0430\u0443\u043a\u0438 \u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0439\u00bb -\u0411\u0443\u0445a\u0440a. 2020, \u21165. \u2013\u0441. 120-129. 4.\tSevinov J. U., Boeva O. H. Adaptive pole placement algorithms for of non-minimum-phase stochastic systems //Chemical Technology, Control and Management. \u2013 2020. \u2013 \u0422. 2020. \u2013 \u2116. 5. \u2013 \u0421. 38-43. 5.\tSevinov J., Boeva O. Algorithms for determining the placement of poles in multivariate systems with proportional-differential output feedback //Algorithms. \u2013 2021. \u2013 \u0422. 8. \u2013 \u2116. 3. 6.\tIgamberdiev H.Z., Sevinov J.U., Boeva O.H. Algorithms for modal control synthesis in multi-dimensional dynamic system // Chemical Technology, Control and Management. Volume 2021, Issue 5, Article 7. \u2013\u0440. 45-51. DOI: https://doi.org/10.51346/tstu-02.21.5-77-0040., \u211612 7.\tOtakulov L., Boyeva O., Bazarova D. The algorithm of research of stability chemical reactors in conditions of uncertainty of the input data //Scientific enquiry in the contemporary world: theoretical basi\u0441s and innovative approach. \u2013 2014. \u2013 \u0421. 69-74. 8.\tZubov N.E., Mikrin E.A. and Ryabchenko V.N. Matrix methods of automatic control systems for aircraft in the theory and practice. Moscow: Publishing house of the Moscow State Technical University Bauman, 2016. pp.666. 9.\tGrigor'ev V.V., Zhuravleva N.V., Luk'yanov G.V. and Sergeev K.A. Synthesis of automatic control systems by the modal control method. St. Petersburg, Publishing house of the SPbSU ITMO, 2007, pp.108. 10.\t\u0416\u0443\u043c\u0430\u0435\u0432 \u041e. \u0410., \u041c\u0430\u0445\u043c\u0443\u0434\u043e\u0432 \u0413. \u0411., \u041c\u0430\u0436\u0438\u0434\u043e\u0432\u0430 \u0420. \u0411. \u041f\u0420\u0418\u041c\u0415\u041d\u0415\u041d\u0418\u042f \u041d\u0415\u0427\u0415\u0422\u041a\u041e\u0413\u041e \u041a\u041e\u041d\u0422\u0420\u041e\u041b\u041b\u0415\u0420\u0410 \u0414\u041b\u042f \u0423\u041f\u0420\u0410\u0412\u041b\u0415\u041d\u0418\u042f \u041f\u0420\u041e\u0426\u0415\u0421\u0421\u0410 \u0412\u042b\u0429\u0415\u041b\u0410\u0427\u0418\u0412\u0410\u041d\u0418\u042f \u0417\u041e\u041b\u041e\u0422\u0410 \u0418\u0417 \u041f\u0420\u041e\u0414\u0423\u041a\u0422\u041e\u0412 \u0411\u0410\u041a\u0422\u0415\u0420\u0418\u0410\u041b\u042c\u041d\u041e\u0413\u041e \u0412\u0421\u041a\u0420\u042b\u0422\u0418\u042f //Journal of Advances in Engineering Technology. \u2013 2022. \u2013 \u2116. 1. \u2013 \u0421. 5-9. 11.\t\u0411\u043e\u0435\u0432\u0430 \u041e.\u0425. \u0421\u0432\u044f\u0437\u044c \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u044e\u0441\u043e\u0432 \u0441 \u0437\u0430\u043f\u0430\u0441\u043e\u043c \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u0434\u043b\u044f \u043c\u043d\u043e\u0433\u043e\u043c\u0435\u0440\u043d\u044b\u0445 \u0440\u0435\u0433\u0443\u043b\u044f\u0442\u043e\u0440\u043e\u0432 \u0441 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0442\u0435\u043b\u0435\u043c \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f // Journal of Advances in Engineering Technology. 2022. \u21164. 12.\t\u041c\u0430\u0445\u043c\u0443\u0434\u043e\u0432 \u0413. \u0411., \u0421\u0430\u0438\u0434\u043e\u0432\u0430 \u0410. \u0425., \u041c\u043e\u0445\u0438\u043b\u043e\u0432\u0430 \u041d. \u0422. \u041c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0435\u0447\u0435\u0442\u043a\u043e\u0439 \u043b\u043e\u0433\u0438\u043a\u0438 \u0434\u043b\u044f \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u043c \u0431\u0430\u043a\u0442\u0435\u0440\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043e\u043a\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0430\u0442\u043e\u0432 \u0432 \u0440\u0435\u0430\u043a\u0442\u043e\u0440\u0430\u0445 \u0441 \u043c\u0435\u0448\u0430\u043b\u043a\u043e\u0439 //\u0421\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438\u043d\u043d\u043e\u0432\u0430\u0446\u0438\u0438, \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438. \u2013 2022. \u2013 \u0422. 2. \u2013 \u2116. 2. \u2013 \u0421. 0201-0214.Gantmakher F.R. Matrix theory. - 4th ed. \u2013M.: Science. Phys.-Math. lit., 1988. pp. 552. 13.\tBoeva O.H. Development of direct modal control algorithms in multi-input linear systems // Scientific and technical journal \"Development of science and technology\" - Bukhara. 2020, No. 5. -FROM. pp.120-129. 14.\tAbdujaliliovich J. O. et al. FUZZY LOGIC CONTROLLER IN THE MANAGEMENT OF TECHNOLOGICAL PROCESSES OF BACTERIAL OXIDATION //Web of Scientist: International Scientific Research Journal. \u2013 2021. \u2013 \u0422. 2. \u2013 \u2116. 06. \u2013 \u0421. 191-197. 15.\t\u0423\u0440\u0438\u043d\u043e\u0432, \u0428. \u0420., \u041d\u0443\u0440\u0445\u043e\u043d\u043e\u0432, \u0425. \u0410., \u0416\u0443\u043c\u0430\u0431\u0430\u0435\u0432, \u042d. \u041e., \u0410\u0440\u0437\u0438\u0435\u0432, \u042d. \u0418., \u041c\u0430\u0445\u043c\u0443\u0434\u043e\u0432, \u0413. \u0411., & \u0421\u0430\u0438\u0434\u043e\u0432\u0430, \u041b. \u0428. (2021). \u041f\u0440\u043e\u0433\u043d\u043e\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u0431\u043e\u0440\u0442\u043e\u0432 \u043a\u0430\u0440\u044c\u0435\u0440\u0430 \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0430. Journal of Advances in Engineering Technology Vol, 1, 3."]}

The modal synthesis of control algorithms for multidimensional systems with a given spectrum is considered under the condition of incomplete information about the state vector. For a linear multidimensional stationary system, a method is proposed for synthesizing systems with a given spectrum with incomplete information by designing a full-rank feedback matrix, in which the closed system has all eigenvalues equal to the given ones. The key elements in the considered expressions are pseudo-inverse matrices. For a multidimensional control system, a method is proposed for synthesizing systems with a given spectrum with incomplete information by applying a special canonical form. This algorithm provides the desired loop pole distribution for each channel.