Stabilization of Linear Dynamic Objects According to the Measured-Error State Under Constraints on the Phase and Control Variables

2021 ◽  
Vol 60 (5) ◽  
pp. 673-685
Author(s):  
D. V. Balandin ◽  
A. A. Fedyukov
Keyword(s):  
Control Variables ◽  
Linear Dynamic ◽  
Dynamic Objects ◽  
And Control ◽  
Error State

Modelling and control of an alkaline water electrolysis process

2018 ◽  
Vol 1 (2) ◽  
pp. 9-14
Author(s):  
Marisol Cervantes-Bobadilla ◽  
Ricardo Fabricio Escobar Jiménez ◽  
José Francisco Gómez Aguilar ◽  
Tomas Emmanuel Higareda Pliego ◽  
Alberto Armando Alvares Gallegos
Keyword(s):  
Process Model ◽  
Water Electrolysis ◽  
Alkaline Water Electrolysis ◽  
Alkaline Water ◽  
Electrolysis Process ◽  
Linear Dynamic ◽  
Energy Current ◽  
Identification Technique ◽  
Nonlinear Static ◽  
And Control

In this research, an alkaline water electrolysis process is modelled. The electrochemical electrolysis is carried out in an electrolyzer composed of 12 series-connected steel cells with a solution 30% wt of potassium hydroxide. The electrolysis process model was developed using a nonlinear identification technique based on the Hammerstein structure. This structure consists of a nonlinear static block and a linear dynamic block. In this work, the nonlinear static function is modelled by a polynomial approximation equation, and the linear dynamic is modelled using the ARX structure. To control the current feed to the electrolyzer an unconstraint predictive controller was implemented, once the unconstrained MPC was simulated, some restrictions are proposed to design a constrained MPC (CMPC). The CMPC aim is to reduce the electrolyzer's energy consumption (power supply current). Simulation results showed the advantages of using the CMPC since the energy (current) overshoots are avoided.

scholarly journals Optimal Control of an SIR Model with Delay in State and Control Variables

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Elhia ◽  
Mostafa Rachik ◽  
Elhabib Benlahmar
Keyword(s):  
Optimal Control ◽  
Influenza A ◽  
Optimization Strategy ◽  
Sir Epidemic Model ◽  
Optimal Control Strategy ◽  
Control Variables ◽  
Sir Epidemic ◽  
Influenza A H1n1 ◽  
Using Data ◽  
And Control

We will investigate the optimal control strategy of an SIR epidemic model with time delay in state and control variables. We use a vaccination program to minimize the number of susceptible and infected individuals and to maximize the number of recovered individuals. Existence for the optimal control is established; Pontryagin’s maximum principle is used to characterize this optimal control, and the optimality system is solved by a discretization method based on the forward and backward difference approximations. The numerical simulation is carried out using data regarding the course of influenza A (H1N1) in Morocco. The obtained results confirm the performance of the optimization strategy.

scholarly journals Leverage Keuangan Dan Likuiditas Saham Perusahaan Manufaktur Yang Terdaftar Di Bursa Efek Jakarta

2008 ◽  
Vol 1 (3) ◽  
Author(s):  
I Made Sudana ◽  
Nurul Intan
Keyword(s):  
Multivariate Regression ◽  
Institutional Ownership ◽  
Financial Leverage ◽  
Return On Assets ◽  
Control Variables ◽  
Stock Liquidity ◽  
Market Capitalization ◽  
Risk Return ◽  
Independent Variable ◽  
And Control

This research focus on the effect of financial leverage on stock liquidity, with control variables included stock risk, return on assets, market capitalization, volume, institutional ownership during 2003-2004. This research used 86 manufacture company that listing in Jakarta Stock Exchange. Analysis method use multivariate regression. The result of partial multivariate regression indicates that financial leverage as independent variable and control variables include stock risk, return on assets, market capitalization, volume, institutional ownership have positive impact on stock liquidity. Independent variable is financial leverage and control variables include return on assets, volume, institutional ownership have significant impact on stock liquidity, while other control variables such as stock risk and market capitalization have not significant impact on stock liquidity. Simultaneously, financial leverage, stock risk, return on assets, market capitalization, volume, institutional ownership have significant impact on stock liquidity. 

An efficient approximate method for solving two-dimensional fractional optimal control problems using generalized fractional order of Bernstein functions

2020 ◽  
Author(s):  
Ali Ketabdari ◽  
Mohammad Hadi Farahi ◽  
Sohrab Effati
Keyword(s):  
Optimal Control ◽  
Fractional Order ◽  
Operational Matrix ◽  
Two Dimensional ◽  
Algebraic Equations ◽  
Control Variables ◽  
Fractional Optimal Control ◽  
Bernstein Functions ◽  
Fractional Optimal Control Problems ◽  
And Control

Abstract We define a new operational matrix of fractional derivative in the Caputo type and apply a spectral method to solve a two-dimensional fractional optimal control problem (2D-FOCP). To acquire this aim, first we expand the state and control variables based on the fractional order of Bernstein functions. Then we reduce the constraints of 2D-FOCP to a system of algebraic equations through the operational matrix. Now, one can solve straightforward the problem and drive the approximate solution of state and control variables. The convergence of the method in approximating the 2D-FOCP is proved. We demonstrate the efficiency and superiority of the method by comparing the results obtained by the presented method with the results of previous methods in some examples.

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