Mathematical Models and Stability of Linear System in the Presence of Control Saturations

Author(s):  
Shuli Guo ◽  
Shaoze Yan ◽  
Lin Huang

In this paper, a new method for the control system with saturation inputs is given. By defining saturation function, the whole space is divided into 3m intervals and relationships among equilibrium points and intervals are established. The equilibrium points are discussed for the linear system under saturated inputs.

2010 ◽  
Vol 37-38 ◽  
pp. 299-303
Author(s):  
Guo Ping Li ◽  
Lu Wei Wang ◽  
Li Sheng Shu

Based on electric pallet truck skids in the process of moving because of low road attachment coefficient, this paper proposed an anti-skid method by changing the proportion of enduring pressure between the driving wheel and trundles. Anti-skid control theory of the new method is researched and mathematical models of the main modules are established. Anti-skid control system is simulated by using AMESim and Matlab / Simulink software. Simulation results show that, this hydraulic anti-skid system can respond quickly and precisely.


2013 ◽  
Vol 341-342 ◽  
pp. 679-683
Author(s):  
Jian Zhao Cao ◽  
Dian Hua Zhang

In order to solve the time synchronization problem in tandem hot strip line, the traditional algorithm of time synchronization was analyzed, and the server-client mode was compared with the broadcast mode using multithread technology, then the present paper improved the broadcast mode to improve its precision. The new method can estimate total delay including clock offset and network transmission time. A simple, easy and little loading time synchronization method was designed for the distributed process control system of tandem hot strip line. The new method was applied in domestic some tandem hot strip line successfully which showed that it could meet the demands of process control system with little expenses, simple structure and high precision.


2018 ◽  
Vol 155 ◽  
pp. 01041 ◽  
Author(s):  
Aleksandr Pilipenko ◽  
Sergei Petrov

In the article the authors solve a crucial objective of reducing the cost of heating services through the introduction of a system, controlling boilers and heating devices, based on modelling of the building and predicting heating systems functioning and operation. The authors describe the method of mathematical modelling of heating systems of the building and represent the developed mathematical models, pledged and installed into the developed automated system. The authors have offered an automated system of dispatch control of the boilers with the elements of computer simulation and modelling.


2014 ◽  
Vol 950 ◽  
pp. 263-267
Author(s):  
Xi Juan Wang ◽  
Wan Ming Xu ◽  
Yong Qiang Wu ◽  
Hai Yan Gao

Conventional PID control system of Direct Current (DC) servo motor is only suitable for the system which Mathematical models can be precisely expressed [1] And it can’t meet the demand of the nonlinear and time-varying system. In the paper, a control system based on fussy-PID is proposed. The basic algorithm of the fussy-PID is introduced firstly. And then the design of the fussy-PID control system is introduced. The results of the experiments have shown that the fussy-PID control system improved the performance of the DC servo motor..


2021 ◽  
Vol 31 (1) ◽  
pp. 8-20
Author(s):  
Saken K. Sheryazov ◽  
Svetlana A. Popova

Introduction. The article deals with the conditions for growing greenhouse plants. Supplementary lighting supports the process of plant photosynthesis and the microclimate in the greenhouse. The authors suggest the ways to reduce energy consumption in greenhouses by controlling the microclimate and process of supplementary lighting in greenhouses. Materials and Methods. Special lighting and temperature are required for growing greenhouse plants. A method of efficient plant growing is light and temperature control. The development of a control algorithm requires the mathematical models that relate the process of photosynthesis to the microclimate parameters. There are given the mathematical models based on the experimental data. Results. The control system and algorithm to control plant-growing conditions have been developed to maintain the greenhouse microclimate. LED lamps are used to control the lighting process. The authors present the developed block diagram of the control system, which contains four channels responsible for the main energy-intensive microclimate factors. The description of the algorithm of the greenhouse light-temperature control is given. Discussion and Conclusion. In conclusion, the need to maintain the greenhouse microclimate and supplementary lighting with the different radiation spectrum for the efficient cultivation of greenhouse plants is shown. The developed structure and control algorithm for the supplementary plant lighting process and greenhouse illumination through using LED lamps help reduce energy consumption.


2013 ◽  
Vol 17 (9) ◽  
pp. 1725-1731 ◽  
Author(s):  
S. Moloudzadeh ◽  
T. Allahviranloo ◽  
P. Darabi

Positivity ◽  
2020 ◽  
Vol 24 (5) ◽  
pp. 1361-1372
Author(s):  
Zbigniew Bartosiewicz

Abstract It is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix defining the system has all its coefficients positive. Then this fact is used to find necessary and sufficient conditions of positive stabilizability of a positive control system on a time scale.


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