The questions of constructing regular algorithms for parametric identification
of a linear dynamic plant with random parameters with guaranteed mean square accuracy are
considered. To estimate the vector of unknown parameters of a dynamic system, a sequential
version of the least squares estimates is used. When solving the considered ill-posed problem,
a regular algorithm is used. When choosing the regularization parameter, the methods of
quasi-optimality and cross-significance were used in the work. The considered algorithms
make it possible to produce a stable identification of a linear dynamic system with random parameters, and thereby improve the accuracy of the synthesized adaptive control system for
the considered class of objects.
The questions of constructing regular algorithms for parametric identification
of a linear dynamic plant with random parameters with guaranteed mean square accuracy are
considered. To estimate the vector of unknown parameters of a dynamic system, a sequential
version of the least squares estimates is used. When solving the considered ill-posed problem,
a regular algorithm is used. When choosing the regularization parameter, the methods of
quasi-optimality and cross-significance were used in the work. The considered algorithms
make it possible to produce a stable identification of a linear dynamic system with random parameters, and thereby improve the accuracy of the synthesized adaptive control system for
the considered class of objects.
| № | Имя автора | Должность | Наименование организации |
|---|---|---|---|
| 1 | H I.S. | lecturer | Fergana branch of TUIT of the Department of "Information Technologies" |
| № | Название ссылки |
|---|---|
| 1 | M.V. Zhirov., V.V. Makarov., V.V. Soldatov. “Identification and adaptive control of technological processes with non-stationary parameters”, 2011. 208 |
| 2 | I.V. Miroshnik., V.O. Nikiforov., A.L. Fradkov. “Nonlinear and adaptive control of complex dynamic systems”, 2000. 549 |
| 3 | V.M. Glumov., S.D. Zemlyakov., V.Y. Rutkovski. “Adaptive coordinate-parametric control of non-stationary objects: some results and directions of development”, 1999. 100. |
| 4 | D.V. Kashkovskii., V.V. Konev. “On sequential estimations of autoregression parameters with random coefficients”, 2008. 70. |
| 5 | A.L. Drozdov. “Algorithm for identifying the characteristics of a dynamical system based on observational data”, 2000. 58. |
| 6 | A.R. Pankov., K.V. Semenikhin. “Methods for parametric identification of multidimensional linear models under a priori uncertainty”, 2000. 76. |
| 7 | S.B. Peltsverger. “Algorithmic support of estimation processes in dynamic systems under uncertainty”, 2004. 116. |
| 8 | A.V. Bulinsky., A.N. Shiryaev. “Theory of random processes”, 2003. 362 |
| 9 | A.B. Kurzhansky. “Identification problem: the theory of guaranteeing estimates (review)”, 1991. 3 |
| 10 | O.M. Kurkin. “Investigation of guaranteed estimation algorithms in problems of forecasting and interpolation of stochastic processes”, 2001. 67. |
| 11 | L. Duan., J.B. Yang. Iterative parametric minimax method for a class of composite optimization problems. “Journal of mathematical analysis and applications”, 1996. 64 |
| 12 | M.V. Zhirov., V.V. Makarov. “Adaptive identification of non-stationary technological processes with Markov parameters in stochastic control problems”, 2002. 56. |
| 13 | A.N. Tikhonov., A.S. Leonov., A.G. Yagola. “Nonlinear ill-posed problems”, 1995. 308 |
| 14 | Y.E. Voskoboynikov. “Sustainable methods and algorithms for parametric identification”, 2006. 180. |
| 15 | O.O. Zaripov., D.A. Akhmedov., U.F. Mamirov. Adaptive estimation algorithms for the state of nonlinear dynamic systems. “International Journal of Psychosocial Rehabilitation”, 2017. 247 |
| 16 | Kh.Z. Igamberdiev., A.N. Yusupbekov., O.O. Zaripov. “Regular methods for estimating and managing dynamic objects under uncertainty”, 2012. 320. |
| 17 | Kh.Z. Igamberdiev., J.U. Sevinov., O.O. Zaripov. “Regular methods and algorithms for the synthesis of adaptive control systems with customizable models”, 2014. 187 |
| 18 | U.F. Mamirov. “Regular synthesis of adaptive control systems for uncertain dynamic objects”, 2021. 215 |