Abstract
The article is devoted to the development of multivariable control algorithm as for functionally complex objects class, which has a nonlinear feedback. In most cases, only part of the system is measured by output that demands the linearity of some input. Obviously, the observable nonlinear systems are not diffeomorphic to linear systems. So that the output actions and inputs of those systems does not distinguish some set of different initial states. That condition changes order of complexity of the singular analysis of inputs, although a complete theory, which allows the design of an observer, for these unobservable systems does not exist. This paper presents the results of hybrid control algorithm that involved by response of inverse dynamic. The control of drying process, where the filling of chamber is increased, has been taken as a base for comparison of results of parametrical stability. We made this for the spray drying process to minimize the quality losses of product by adjustments of the input flows of dryer according to internal disturbances and process constraints.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Korobiichuk, I., Ladaniuk, A., Ivashchuk, V.: Features of control for multi-assortment technological process. In: Szewczyk, R., Krejsa, J., Nowicki, M., Ostaszewska-Liżewska, A. (eds.) MECHATRONICS 2019. AISC, vol. 1044, pp. 214–221. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-29993-4_27
Korobiichuk, I., Ladanyuk, A., Shumyhai, D., Boyko, R., Reshetiuk, V., Kamiński, M.: How to Increase efficiency of automatic control of complex plants by development and implementation of coordination control system. In: Szewczyk, R., Kaliczyńska, M. (eds.) SCIT 2016. AISC, vol. 543, pp. 189–195. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-48923-0_23
Korobiichuk, I., Ladanyuk, A., Zaiets, N., Vlasenko, L.: Modern development technologies and investigation of food production technological complex automated systems. In: Paper Presented at the ACM International Conference Proceeding Series, pp. 52–56 (2018). https://doi.org/10.1145/3185066.3185075
Kharlamenko, V., Ruban, S., Korobiichuk, I., Petruk, O.: Adaptive control of dynamic load in blooming mill with online estimation of process parameters based on the modified kaczmarz algorithm. In: Szewczyk, R., Kaliczyńska, M. (eds.) SCIT 2016. AISC, vol. 543, pp. 227–233. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-48923-0_28
Korobiichuk, I., et al.: Synthesis of optimal robust regulator for food processing facilities. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds.) ICA 2017. AISC, vol. 550, pp. 58–66. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-54042-9_5
Tucsnak, M., Weiss, G.: Observation and Control for Operator Semigroups. Birkhäuser Advanced Texts. Basler Lehrbücher, Birkhäuser Verlag (2009)
Sacchelli, L., Brivadis, L., Andrieu, V., Serres, U., Gauthier, J.-P.: Dynamic output feedback stabilization of non-uniformly observable dissipative systems. In: 21st IFAC World Congress (Virtual), Berlin, Germany, pp. 4997–5002 (2020)
Besancon, G., Hammouri, H.: On observer design for interconnected systems. J. Math. Syst. Estim. Control 8(3), 1–25 (1998)
Chan, J.C.L., Lee, T.H., Tan, C.P.: Observer-based fault-tolerant control for non-infinitely observable descriptor systems. In: Park, J.H. (ed.) Recent Advances in Control Problems of Dynamical Systems and Networks. SSDC, vol. 301, pp. 123–145. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-49123-9_6
Długosz, M., Baranowski, J.: Observer design for estimation of nonobservable states in buildings. Math. Probl. Eng. 2020, 1–8 (2020). https://doi.org/10.1155/2020/3404951
Jo, N., Seo, J.: Observer design for non-linear systems that are not uniformly observable. Int. J. Control 75(5), 369–380 (2002). https://doi.org/10.1080/00207170110112287
Jover, C., Alastruey, C.F.: Multivariable control for an industrial rotary dryer. J. Food Control 17(8), 653–659 (2006)
Utkin, V.: Sliding modes in control and optimization. Springer, Heidelberg (1992). https://doi.org/10.1007/978-3-642-84379-2
Kolesov, Y., Senichenkov, Y.: Mathematical Modeling of Complex Dynamical Systems. Polytech-Press, St. Petersburg (2019)
Kim, A.V.: I-Smooth Analysis. Theory and Applications: monograph. Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences (2015)
Pukdeboon, C.: Lyapunov optimizing sliding mode control for attitude tracking of spacecraft. Int. J. Pure Appl. Math. 80(1), 25–40 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ivashchuk, V., Korobiichuk, I. (2022). The Multivariable Control for Dynamic Partially Observable Objects. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2022: New Solutions and Technologies for Automation, Robotics and Measurement Techniques. AUTOMATION 2022. Advances in Intelligent Systems and Computing, vol 1427. Springer, Cham. https://doi.org/10.1007/978-3-031-03502-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-031-03502-9_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-03501-2
Online ISBN: 978-3-031-03502-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)