G. Abitova


This work is considered to study analysis of dynamic system for simulation of the technological process under uncertainty and complexity. To study and simulate a complicated technology process the technical scheme of roasting in fluidized bed furnaces of polymetallic sulphides ores is carried out for consideration. The choice is justified by the fact that operation line producing polymetallic sulphide ores represents a complicated process, is characterized by a large number of transient processes, presence of process variables, and deviations from technical regimes. To study process characteristics of any system functioning employing mathematical methods the process should be formalized. This means, that an adequate mathematical model needs to be developed. The choice of mathematical model depends a lot on objects ‘feature and its controllability as well as of technological scheme and complexity of processes. Chemical engineering processes are complicated physical and chemical systems. Substance flows, which are part of these systems, are, as a rule, multicomponent. Therefore, for the purpose of study and qualitative control over chemical-engineering processes it is essential to apply the method of mathematic simulation, based on system analysis strategy, analysis of its structure, mathematical formulation development and evaluation of unknown parameters. Controllability means that such system attribute as having control actions, which make it possible to transfer the system from a pre-set initial state to the required condition during a finite quantum of time. Therefore, the developed mathematical model of the process or control object should be controllable and stable.

Ключевые слова

control system, mathematical model, stability, controllability, automation

Полный текст:

PDF (English)


Polyak B., & Scherbakov P. (2002). Robust Stability and Control. Publisher: Nauka, Moscow.

Abitova Gulnara (2017). Control Systems and Industrial Automation of Rare Metals Production. In:

Monography. Scientific Publication. Lap Lambert Academy Publishing. OmniScriptum GmbH & Co.

KG – Beau Bassin, Germany, 161 p.

G. Abitova, V. Nikulin, M. Beisenbi (2010). Design of a Control System with High Robust Stability

Characteristics. The 3rd International Congress on Ultra Modern Telecommunications and Control

Systems. The Proceedings of the ICUMT2011, Budapest, Hungary.

Xiaoping Zh., Sun Jiahui, & Cheng Yuan (2010). «Analysis of crowd jam in public buildings based on

cusp-catastrophe theory» Building and Environment, 45, Issue 8, Publisher: Elsevier Ltd, 1755-1761.

Nikolas G., & Prigozhin I. (1990). Complex Discovery. Publisher: Mir, Moscow.

Wang, S. C., She, X. S., Li, Y., & Mu, P. (2010). Stability analysis of rock slope based on cusp catastrophe

theory. Journal of traffic and transportation engineering (Xi’an, Shaanxi), 10(3), 23-27.

Alexandrov, & Zhabko A. (2012). On Asymptotic Stability of Solutions to Systems of Nonlinear Differential Equations with Time-Delay. Izvestiya VUZov, Mathematics, (5), 3-12.

Zhang, Y., Fidan, B., & Ioannou, P. A. (2003). Backstepping control of linear time-varying systems with

known and unknown parameters. IEEE Transactions on Automatic Control, 48(11), 1908-1925.

Abitova, G., & Nikulin, V. (2012). Increasing product quality by implementation of a complex

automation system for industrial processes. In Complex Systems Design & Management (pp. 305-

. Springer, Berlin, Heidelberg.

Abitova, G. Research and development of control system for process with increased potential robust

stability at complex automation of production of rare metals (Doctoral dissertation, doctoral

dissertation, PhD. KazNTU. – Almaty. – 2013. – 149 p).

Kenzhebaeva, T.S., Orazbayev, B.B., Abitova, G.A., Orazbayeva, K.N., & Spichak, Y.V. (2017). Study and

Design of Mathematical Models for Chemical-Technological Systems under Conditions of Uncertainty

Based on the System Analysis. In Proceedings of the International Conference on Industrial

Engineering and Operations Management (pp. 776-790).

Abitova, G.A. (2006). Совершенствование процесса извлечения теллура из плавов свинцово-цинкового производства с применением новых информационных технологий.: diss. cand.

tech. scien. Institute of Metallurgy and Enriched, NAS MES of RK. Almaty. – 2006. – 148 p.

Morse, A. S. (1992). High-order parameter tuners for the adaptive control of linear and nonlinear

systems. In Systems, models and feedback: Theory and Applications (pp. 339-364). Birkhäuser, Boston,




  • Ссылки не определены.

(P): 2707-9031
(E): 2707-904X

Articles are open access under the Creative Commons License  

Бизнес-центр EXPO, блок C.1.
Казахстан, 010000