Effective robust optimal control system for a lamellar pasteurization-cooling unit under the conditions of intense external perturbations

Abstract

Keywords: Robust Optimal 2-riccati Uncertainties H2-regulator Article history:Introduction. Investigated robust optimal control system of pasteurization-cooling unit, functioning under conditions of intensive external disturbances, information and structural uncertainty in order to improve the efficiency.Materials and methods. Methods of system analysis, mathematical statistics and identification used to construct a mathematical model of the control object. For the synthesis of the robust optimal controller, the 2-Riccati approach H 2 control problems is applied, and to reduce the order of the received regulator -method for balanced model reduction.Results and discussion. The work of the pasteurization unit is considered, since it is a key component of dairy production. Since the results of the operation of traditional automated systems depend on the intensity and quality of information flows, microprocessor technology, algorithmic and software, it is proposed to supplement them with robust optimal controllers based on the 2-Riccati approach. Identified a mathematical model of the object, which consists of linear differential equations of the seventh order, it is possible to synthesize a robust optimal controller of the 6th order. Performance indicators are calculated by comparing the synthesized system and the system with local regulators. In a robust optimal system, the magnitude of uncertainty increased fourfold, and the dispersion of control signals decreased fourfold, which proves its energy efficiency.Conclusion. The performed modeling and calculation of qualitative characteristics showed a significant advantage of the synthesized system in front of systems with local regulators.

Modeling and Robust Optimization of the Technological Mode of Electrotechnological Complexes with the Renewable Energy Systems of Heat

“…To minimize the effects between the subsystems of the horizontal level of automatic control of the ETC, the use of robust algorithms for the synthesis of the control device is effective. The latter provide coarse control of technological objects in conditions of significant uncertainty, thereby minimizing the influence between subsystems of the electrotechnological complex [11].…”

“…where пі  is deviation of the temperature of the heating steam in the i-th heat exchanger; 1 G  is deviation of the flow of water, consuming to production; 2 G  is deviation of the flow of water, consuming to the household needs of the enterprise; 10  is deviation of water temperature, consuming to production at the entrance to the heater; 11  is deviation of water temperature, which goes into production after the heater; 20  is deviation of water temperature, consuming to the household needs of the entrance to the heater; 21  is deviation of water temperature, consuming to the household needs of the company at the outlet of the heater.…”

“…The coefficients of the mathematical model for the real object (11) are calculated according to the static parameters of the process, which depend on the structural features of the apparatus and the heat capacity of the substances and walls, which, in assumptions, were accepted as lumped and constant: 0.84 0 0 0.22 0.50 0.10 , 0 0.03 0.23…”