The article addresses the issues of synthesis of an observer for estimation of several linear functions of the state variables of the control system of dynamic objects. Algorithms of building multifunctional observers on the basis of specific matrix decomposition of Hessenberg and Hauscholder's method are given. The synthesized observer's output approaches the linear functions of the states asymptotically. The given expressions allow to receive estimations of several linear functions of the state variables, when the feedback in the control system is linear functions of the object state
№ | Имя автора | Должность | Наименование организации |
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1 | Kholkhodjaev B.A. | o'qituvchi | TDTU |
№ | Название ссылки |
---|---|
1 | . Korovin S.K. Condition observers for the linear systems with uncertainty. Monograph. -M.: Fizmatlit, 2007. p-224 (in russian). |
2 | Bobtsov, A.A.; Nikiforov, V.O.; Pyrkin, A.A.; Slita, O.V.; Ushakov, A.V. Adaptive and robust control methods for the nonlinear objects in instrument engineering. - SPb: NIU ITMO, 2013. - p– 277 (in russian). |
3 | Reza Mohajerpoor, Hamid Abdi, Saeid Nahavandi, A New Algorithm to Design Minimal Multi-Functional Observers for Linear Systems // Asian Journal of Control, 2015, Vol. 18, |
4 | Yusupbekov N., Igamberdiev H., Mamirov U. Algorithms of Sustainable Estimation Of Unknown Input Signals In Control Systems // Journal of Automation, Mobile Robotics & Intelligent Systems. 2018. Vol. 12. - – №. 4. pages 83-86. |
5 | . Asanov, A.Z.; Demianov, D.N. Estimation of the linear functional of the dynamic systemstate variables at presence of the signal perturbations // XII All-Russian meeting on control problems. VSPU-2014. Moscow. 2014 y. pages 103-108(in russian). |
6 | Igamberdiyev H.Z., Mamirov U.F. Sustainable estimation of parameters and covariation of disturbance vectors in uncertain systems / Chemical Technology. Control and Management. 2018. № 3. - pages. 16-19. |
7 | A.A. Amosov, Yu. Dubinskiy, N.V. Kopchenova. Computing methods for engineers. -M.: Vysh. shk. 1994. p–544 (in russian) . |
8 | . Gantmakher F.R. Matrix Theory. -Moscow: Science, 1988. - p– 552 (in russian). |
9 | Tyrtyshnikov E.E. Matrix Analysis and Linear Algebra. -Moscow: Fizmatlit, 2007(in russian). |
10 | . Verzhbitsky V.M. Computing linear algebra. -Moscow: Vysh. shk. 2009. p–351(in russian). |
11 | Golub J., Van Loach C. Matrix Calculations: Per. from English. -M.: Mir, 1999. p–548 (in russian). |
12 | . Demmel J. Computational linear algebra. Theory and Applications: M.: Mir, 2001 p-430 (in russian). |
13 | Lawson C., Henson R. Numerical Solution of Problems of the Smallest Squares Method / Per. from -M.: Science. Chapter Ed., PHYLAND, 1986. p–232 (in russian). |
14 | A.I. Zhdanov. Introduction in Methods of Solving Incorrect Problems: -Samara State Aerospace University Publisher, 2006. p–87 (in russian). |
15 | Bobomurodov, Q.H.; Razakov, J.Kh.; Bobomurodov, S.Q.; and Shokirov, R.A. (2019) "METHODS FOR RESEARCHING THE LOCALIZATION AND DELOCALIZATION OF CARRIERS IN YBA2CU3O6+X FILMS," Technical science and innovation: Vol. 2019 : Iss. 4 Article 7. Available at: https://uzjournals.edu.uz/btstu/vol2019/iss4/7. |
16 | Rakhmonov, I.U.; Niyozov, N.N.; and Ли, К. (2019) "DEVELOPMENT OF CORRELATION AND REGRESSION MODELS OF ELECTRIC ENERGY INDICATORS OF THE EQUIPMENT WITH CONTINUOUS NATURE OF PRODUCTION," Technical science and innovation:Vol.2019:Iss.4,Article2. Available at: https://uzjournals.edu.uz/btstu/vol2019/iss4/2. |